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Paper Citation Record · LEDGER

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading

As of 6 August 2026, this Paper Citation Record lists 100 of 115 outbound references and 0 inbound Pith citation observations for arXiv:2507.12683.

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pith.paper-citation-record.v1
2507.12683 v1

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measured 100 of 115 reference resolution

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100 of 115 outbound references displayed

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Outbound references

Observation 1489cc45-0df1-4ea0-a08b-54320c0acd8d · outbound

This paper cites A new constitutive framework for arterial wall mechanics and a comparative study of material models,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A new constitutive framework for arterial wall mechanics and a comparative study of material models,

Reference 1

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This paper cites Hyperelastic constitutive modeling of hydrogels based on primary deformation modes and validation under 3D stress states,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Hyperelastic constitutive modeling of hydrogels based on primary deformation modes and validation under 3D stress states,

Reference 2

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This paper cites Visco-hyperelastic constitutive modeling of strain rate sensitive soft materials,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Visco-hyperelastic constitutive modeling of strain rate sensitive soft materials,

Reference 3

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This paper cites A physics-informed multi-agents model to predict thermo-oxidative/hydrolytic aging of elastomers,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A physics-informed multi-agents model to predict thermo-oxidative/hydrolytic aging of elastomers,

Reference 4

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This paper cites On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects,

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This paper cites A THEORY OF FINITE VISCOELASTICITY AND NUMERICAL ASPECTS,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A THEORY OF FINITE VISCOELASTICITY AND NUMERICAL ASPECTS,

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This paper cites From machine learning to deep learning: progress in machine intelligence for rational drug discovery,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading From machine learning to deep learning: progress in machine intelligence for rational drug discovery,

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This paper cites Skamniotis, D.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Skamniotis, D

Reference 8

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This paper cites Parametric extended physics-informed neural networks for solid mechanics with complex mixed boundary conditions,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Parametric extended physics-informed neural networks for solid mechanics with complex mixed boundary conditions,

Reference 9

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This paper cites Physics-informed recovery of nonlinear residual stress fields in an inverse continuum framework,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Physics-informed recovery of nonlinear residual stress fields in an inverse continuum framework,

Reference 10

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This paper cites Enforcing physics onto PINNs for more accurate inhomogeneous material identification,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Enforcing physics onto PINNs for more accurate inhomogeneous material identification,

Reference 11

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This paper cites Statistical-Physics-Informed Neural Networks (Stat-PINNs): A Machine Learning Strategy for Coarse-graining Dissipative Dynamics,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Statistical-Physics-Informed Neural Networks (Stat-PINNs): A Machine Learning Strategy for Coarse-graining Dissipative Dynamics,

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This paper cites Non -linear viscoelastic laws for soft biological tissues,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Non -linear viscoelastic laws for soft biological tissues,

Reference 13

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This paper cites Data-driven homogenisation of viscoelastic porous elastomers: Feedforward versus knowledge -based neural networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-driven homogenisation of viscoelastic porous elastomers: Feedforward versus knowledge -based neural networks,

Reference 14

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This paper cites Elasticity of soft tissues in simple elongation’,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Elasticity of soft tissues in simple elongation’,

Reference 15

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This paper cites On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures,

Reference 16

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Nonlinear Solid Mechanics II,

Reference 17

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading ON THE LARGE DEFORMATION BEHA VIOUR OF REINFORCED RUBBER AT DIFFERENT TEMPERATURES,

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Physics -driven neural networks for nonlinear micromechanics,

Reference 19

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Modeling finite-strain plasticity using physics - informed neural network and assessment of the network performance,

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A physics-informed 3D surrogate model for elastic fields in polycrystals,

Reference 21

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-driven elastoplastic constitutive modelling with physics -informed RNNs using the Virtual Fields Method for indirect training,

Reference 22

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This paper cites The deep finite element method: A deep learning framework integrating the physics -informed neural networks with the finite element method,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading The deep finite element method: A deep learning framework integrating the physics -informed neural networks with the finite element method,

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This paper cites Extended physics -informed extreme learning machine for linear elastic fracture mechanics,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Extended physics -informed extreme learning machine for linear elastic fracture mechanics,

Reference 24

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A physics-informed neural network-based method for dispersion calculations,

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Viscohyperelastic Strain Energy Function,

Reference 26

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Inverse Physics-Informed Neural Networks for transport models in porous materials,

Reference 27

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A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons,

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This paper cites Analytical and experimental study of shape memory alloy reinforcement on the performance of butt -fusion welded joints in high-density polyethylene pipe,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Analytical and experimental study of shape memory alloy reinforcement on the performance of butt -fusion welded joints in high-density polyethylene pipe,

Reference 31

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This paper cites A Review of Recent Advances in Surrogate Models for Uncertainty Quantification of High-Dimensional Engineering Applications,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A Review of Recent Advances in Surrogate Models for Uncertainty Quantification of High-Dimensional Engineering Applications,

Reference 32

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This paper cites History-Matching of Imbibition Flow in Multiscale Fractured Porous Media Using Physics-Informed Neural Networks (PINNs),.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading History-Matching of Imbibition Flow in Multiscale Fractured Porous Media Using Physics-Informed Neural Networks (PINNs),

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This paper cites Development and validation of subject-specific 3D human head models based on a nonlinear visco-hyperelastic constitutive framework,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Development and validation of subject-specific 3D human head models based on a nonlinear visco-hyperelastic constitutive framework,

Reference 34

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Observation a47d5e3b-2717-4309-b334-29e4ec5f07f3 · outbound

This paper cites A transversely isotropic viscohyperelastic material Application to the modeling of biological soft connective tissues,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A transversely isotropic viscohyperelastic material Application to the modeling of biological soft connective tissues,

Reference 35

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verified exact
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation f6d144cf-09e7-4458-bb1b-9fbeac406dd8 · outbound

This paper cites A Nonlinear Thermo -Visco- Green-Elastic Constitutive Model for Mullins Damage of Shape Memory Polymers under Giant Elongations,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A Nonlinear Thermo -Visco- Green-Elastic Constitutive Model for Mullins Damage of Shape Memory Polymers under Giant Elongations,

Reference 36

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source=pdf_text observed=2026-08-06T16:47:48.584103Z digest=sha256:7b33a03ed89e8195d8d9e4932a3f0020e5077f202012094db876d103af9228de

Observation 7f3c1c99-8858-4507-9e3c-c7ef73a3f7f2 · outbound

This paper cites Deep learning predicts path -dependent plasticity,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Deep learning predicts path -dependent plasticity,

Reference 37

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:47:48.630733Z digest=sha256:c6ddd1234be73f4bc8c638790d13e567b8356d91fdd6ffe29f1c36364fca2ecd

Observation c0d37501-8838-48a0-a6cb-968932b0b027 · outbound

This paper cites THESE DE DOCTORAT DE L’ÉCOLE CENTRALE DE NANTES Auriane Platzer Rapporteurs avant soutenance : Composition du Jury.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading THESE DE DOCTORAT DE L’ÉCOLE CENTRALE DE NANTES Auriane Platzer Rapporteurs avant soutenance : Composition du Jury

Reference 38

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source=pdf_text observed=2026-08-06T16:47:48.685517Z digest=sha256:227452bf5e3a237ace726d2c470f27809b6e4231cbd919882b8196599acdfc1e

Observation 5f296370-53e4-4a9a-a0ed-f532dcd5b43b · outbound

This paper cites An analytical study on SMA beam-column actuators for anti -buckling phenomenon,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading An analytical study on SMA beam-column actuators for anti -buckling phenomenon,

Reference 39

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source=pdf_text observed=2026-08-06T16:47:48.735713Z digest=sha256:a0ce77be2ffbf1d4354ee639badb4bab3bbfa752470f5325a3ff383039adfa6b

Observation 6fcfe4a1-67e5-44ff-9034-0724d8f76c9b · outbound

This paper cites ‘A constitutive model for the Mullins effect with permanent set in a particle -reinforced rubber’ by A. Dorfmann and R.W. Ogden,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading ‘A constitutive model for the Mullins effect with permanent set in a particle -reinforced rubber’ by A. Dorfmann and R.W. Ogden,

Reference 40

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:48.826551Z digest=sha256:6dd7c950dabe14e64adfe825e9859075925b12fca48081b9f75ea4249e9484b3

Observation c240d0a0-f823-4c12-9a0a-b5a5269176b9 · outbound

This paper cites Finite Bending of Fiber -Reinforced Visco-Hyperelastic Material: Analytical Approach and FEM,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Finite Bending of Fiber -Reinforced Visco-Hyperelastic Material: Analytical Approach and FEM,

Reference 41

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:48.890958Z digest=sha256:7b5b280df82f59a3da8c984bfcd45c66444bdb087625dd80a24b9b4035957abd

Observation 3175d04b-b22f-4f39-a933-4e55edbfef99 · outbound

This paper cites A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A viscoelastic constitutive model for compressible polymers based on logarithmic strain and its finite element implementation,

Reference 42

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:48.955437Z digest=sha256:3c2edf5a8719166f21281b67330c2c0386a12961d22f06993a854d1256388267

Observation 4f26bd89-ca14-4a5d-9a16-0236d9dc2d14 · outbound

This paper cites An analytical study on the bending of prismatic SMA beams,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading An analytical study on the bending of prismatic SMA beams,

Reference 43

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.018433Z digest=sha256:68d7504f094afd026c70630f721b72422bc12b15f8b066aaaedad4edbf1ae078

Observation 70892354-ad25-4814-ae1f-ecb61d7be5b1 · outbound

This paper cites Mechanics -informed, model -free symbolic regression framework for solving fracture problems,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Mechanics -informed, model -free symbolic regression framework for solving fracture problems,

Reference 44

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.084469Z digest=sha256:9b665c1f59d2e1f790039af690cd60d291af75a9ff34361b633e8f76081c9559

Observation 5e2760c6-c04f-40d3-aae2-c97ab46ad221 · outbound

This paper cites Data -driven continuum damage mechanics with built -in physics,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data -driven continuum damage mechanics with built -in physics,

Reference 45

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:47:49.130286Z digest=sha256:a9a00f424f60bc0247562cb44d30a9c38cd97c1334a9a5713f321bff07dc55f1

Observation e19a3657-40bb-4ec6-99d5-9d8120486469 · outbound

This paper cites A neural network -based enrichment of reproducing kernel approximation for modeling brittle fracture,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A neural network -based enrichment of reproducing kernel approximation for modeling brittle fracture,

Reference 46

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.247707Z digest=sha256:4abc240816c0a5d3c35754a478f4ce6047a8b87b7754c07cc9122042e5317afc

Observation 5b7d1e58-9a5e-47e6-8efd-d1f47521c207 · outbound

This paper cites Tensor Basis Gaussian Process Models of Hyperelastic Materials.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Tensor Basis Gaussian Process Models of Hyperelastic Materials

Reference 47

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source=pdf_text observed=2026-08-06T16:47:49.324159Z digest=sha256:dcdfe6284584ed491997c31e9c58f1a74989426987f33c062aa1be4e1d65878c

Observation 38a5bfb0-6aad-4791-83ec-999acc20277c · outbound

This paper cites Local approximate Gaussian process regression for data- driven constitutive models: development and comparison with neural networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Local approximate Gaussian process regression for data- driven constitutive models: development and comparison with neural networks,

Reference 48

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source=pdf_text observed=2026-08-06T16:47:49.408936Z digest=sha256:55b12c27365f29906afe812e65e01b67bddde69a9e3442d5fc6760772b60bf39

Observation 0b51c5a9-779a-46e2-b4c5-d47ef2c0df4e · outbound

This paper cites Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials,

Reference 49

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.506287Z digest=sha256:f7807cd4642389dbe505b8c7590fbb4100bfa262befd5f2da4dcb97e1ebeee23

Observation f3f2addb-b168-48ad-b796-2e1495dd80ad · outbound

This paper cites On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space -filling sampling,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space -filling sampling,

Reference 50

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.608405Z digest=sha256:05f843f3327f8e02dc0938caa0bd686084379eb2a2d8725c1f596fde340c261d

Reference 51

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T16:47:49.726524Z digest=sha256:a983a488a4621ee531ef58a257b93c72c650f3ca8c77062d0cf7b067ccfe0e8b

Observation 5934fb77-2ad7-48d4-86b8-a5b490eb71c6 · outbound

This paper cites Machine learning of evolving physics - based material models for multiscale solid mechanics,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Machine learning of evolving physics - based material models for multiscale solid mechanics,

Reference 52

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.794491Z digest=sha256:46b0f752b4fbe83090eccc19f215fd2e43fb293760af79977075a175571ad553

Observation af83abc4-fd14-4b0e-9997-415a907a74a7 · outbound

This paper cites Prediction of damage evolution in CMCs considering the real microstructures through a deep-learning scheme,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Prediction of damage evolution in CMCs considering the real microstructures through a deep-learning scheme,

Reference 53

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source=pdf_text observed=2026-08-06T16:47:49.892749Z digest=sha256:7241f747b2b58b32a2230ca8b21df596df6a5f6b87969f55c8b3ad5fa42011e9

Observation 1bf0aa30-a9df-43f0-8f30-7ebbcba81744 · outbound

This paper cites t -PiNet: A thermodynamics -informed hierarchical learning for discovering constitutive relations of geomaterials,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading t -PiNet: A thermodynamics -informed hierarchical learning for discovering constitutive relations of geomaterials,

Reference 54

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:49.991133Z digest=sha256:16ef8c61756aeeb3a99513081448675b1670d1025f1f28a1ca61f94122976ed6

Observation 81499f42-6a4b-4ecd-a893-53c4725d411f · outbound

This paper cites A new family of Constitutive Artificial Neural Networks towards automated model discovery,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A new family of Constitutive Artificial Neural Networks towards automated model discovery,

Reference 55

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source=pdf_text observed=2026-08-06T16:47:50.122115Z digest=sha256:ac5a590f8d76af8bd00342aebe3077c62f0cebcd1530495d0b138303a99ecc42

Observation 6a71b6ae-428b-4fad-80bd-86039996856c · outbound

This paper cites Physics-informed data-driven discovery of constitutive models with application to strain-rate-sensitive soft materials,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Physics-informed data-driven discovery of constitutive models with application to strain-rate-sensitive soft materials,

Reference 56

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source=pdf_text observed=2026-08-06T16:47:50.207784Z digest=sha256:da410070acff17a650ee6676d8f6b718c0b937ed9866101b76b0a161a41c73b0

Observation 0170f964-f285-4468-8e8f-bbeb86170bfe · outbound

This paper cites Thermodynamics-based Artificial Neural Networks for constitutive modeling,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Thermodynamics-based Artificial Neural Networks for constitutive modeling,

Reference 57

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source=pdf_text observed=2026-08-06T16:47:50.297235Z digest=sha256:54130ad7bce3b5406b4347c139b118cf1e7f29edd11f8e960e823d51d5fe536b

Observation 669b4fd4-c73b-40cc-a7cf-68721c636da2 · outbound

This paper cites Evolution TANN and the identification of internal variables and evolution equations in solid mechanics,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Evolution TANN and the identification of internal variables and evolution equations in solid mechanics,

Reference 58

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source=pdf_text observed=2026-08-06T16:47:50.392125Z digest=sha256:39ffd2c43000bd52bf93436959c06403f9d4a6a0064cc74de23c0adc1ff8d376

Reference 60

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source=pdf_text observed=2026-08-06T16:47:50.580526Z digest=sha256:6ae9b285083b80af754c6c4edf006c6f389c9af1305b1aca9c398d1adfd1e911

Observation 1987910d-7df8-4f88-a1ad-671d485de377 · outbound

This paper cites Parametrized polyconvex hyperelasticity with physics-augmented neural networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Parametrized polyconvex hyperelasticity with physics-augmented neural networks,

Reference 61

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source=pdf_text observed=2026-08-06T16:47:50.660894Z digest=sha256:ffee0cfa0f7b51afe0cf92496209755986558092b2cddd4394e3c0d006930bf2

Observation e25a7a77-d8d9-4d90-bc4b-4a80c2c0929d · outbound

This paper cites Finite electro-elasticity with physics- augmented neural networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Finite electro-elasticity with physics- augmented neural networks,

Reference 62

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:50.778579Z digest=sha256:f66829b7fee5a696282bc8306476204eaf1abfd406a016bfc8823ecea5558d4b

Observation 5841e5f3-fa96-4be6-afad-7567cd57b762 · outbound

This paper cites Input Convex Neural Networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Input Convex Neural Networks,

Reference 63

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source=pdf_text observed=2026-08-06T16:47:50.871306Z digest=sha256:f619df1bb752f5d65498265e1d793921f62c7255ed20811a23aed9cb1d5e76f8

Observation 5756fac2-275e-4d93-a3f9-cc3e502df048 · outbound

This paper cites A mechanics-informed deep learning framework for data-driven nonlinear viscoelasticity,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A mechanics-informed deep learning framework for data-driven nonlinear viscoelasticity,

Reference 64

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source=pdf_text observed=2026-08-06T16:47:50.958843Z digest=sha256:8baddd48fe5db933411717ac1f93e770b8a77c1690ba340cc2c27130a2881d82

Observation 633b6270-48bc-49ec-b02c-4ba2a8ef80c2 · outbound

This paper cites A mechanics-informed artificial neural network approach in data- driven constitutive modeling,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A mechanics-informed artificial neural network approach in data- driven constitutive modeling,

Reference 65

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source=pdf_text observed=2026-08-06T16:47:51.076479Z digest=sha256:dd76b3fdebbd51992987322e02c531853080ee26d41d26d25d98dfb52ee201ba

Observation 23c0e07f-7222-4b6c-8bd8-bbaf52b7a9e2 · outbound

This paper cites Hypersparse Neural Network Analysis of Large-Scale Internet Traffic,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Hypersparse Neural Network Analysis of Large-Scale Internet Traffic,

Reference 66

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:51.201748Z digest=sha256:217afdf0075ca5324bc35b641a87330f45e9c3f6023992026d603f63396d947c

Observation da7d3c2e-9c85-4646-a5c3-b6717d2e575c · outbound

This paper cites Data-Driven Network Neuroscience: On Data Collection and Benchmark.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-Driven Network Neuroscience: On Data Collection and Benchmark

Reference 67

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:51.345623Z digest=sha256:b7c81ff3fe8a0c28abad0b4edf7b10bcb3896ddb52d5fbbacf606ea2a55d3475

Observation 16e7da01-2609-4953-8b85-59822e53b517 · outbound

This paper cites Patient Risk Assessment and Warning Symptom Detection Using Deep Attention-Based Neural Networks.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Patient Risk Assessment and Warning Symptom Detection Using Deep Attention-Based Neural Networks

Reference 68

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local_arxiv, observed 2026-08-06T16:48:05.587834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T16:47:51.444166Z digest=sha256:6213f61cb0608f45b0b0c5a11b9caab7007af5ec5176156086cfa65b170afc9e

Observation 593a3d59-1c1b-4148-9b82-ec6a8779323f · outbound

This paper cites Predicting Progression Events in Multiple Myeloma from Routine Blood Work.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Predicting Progression Events in Multiple Myeloma from Routine Blood Work

Reference 69

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local_arxiv, observed 2026-08-06T16:48:05.403449Z

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Observation 4144a0ff-cc4e-4426-81ca-a51c1a90644c · outbound

This paper cites A machine learning approach to predict in vivo skin growth,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A machine learning approach to predict in vivo skin growth,

Reference 70

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Observation 93e4da4b-2afa-4980-912f-031f240319fa · outbound

This paper cites Discovering plasticity models without stress data,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Discovering plasticity models without stress data,

Reference 71

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Observation e3cde35c-ecf8-485d-b172-5cd3318eb982 · outbound

This paper cites Bayesian -EUCLID: Discovering hyperelastic material laws with uncertainties,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Bayesian -EUCLID: Discovering hyperelastic material laws with uncertainties,

Reference 72

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source=pdf_text observed=2026-08-06T16:47:51.839654Z digest=sha256:990f610d74e09087d88a1503848ee22a14c430506f21559a443c841ba167c249

Observation 996415f9-802d-405e-a6e2-7e052e96dd40 · outbound

This paper cites Automated identification of linear viscoelastic constitutive laws with EUCLID,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Automated identification of linear viscoelastic constitutive laws with EUCLID,

Reference 73

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Observation 805a0b93-e397-4e6e-a4e0-5b3c0a2fccfe · outbound

This paper cites Learning viscoelasticity models from indirect data using deep neural networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Learning viscoelasticity models from indirect data using deep neural networks,

Reference 74

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Observation bd3011ed-c1c5-4715-be05-3b9aa9707d59 · outbound

This paper cites Hybrid Monte Carlo for Failure Probability Estimation with Gaussian Process Surrogates,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Hybrid Monte Carlo for Failure Probability Estimation with Gaussian Process Surrogates,

Reference 76

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Observation d4fb1e4d-241d-4858-bb1c-242263f52e75 · outbound

This paper cites Viscoelastic constitutive artificial neural networks (vCANNs) – A framework for data -driven anisotropic nonlinear finite viscoelasticity,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Viscoelastic constitutive artificial neural networks (vCANNs) – A framework for data -driven anisotropic nonlinear finite viscoelasticity,

Reference 77

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Observation 8473e3f3-5407-4c10-9cf0-0f2e6a2048fa · outbound

This paper cites Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning,

Reference 78

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Observation 06a59bfb-8a6d-4c33-9ee2-b1d01b4ff3cd · outbound

This paper cites Discovering uncertainty: Bayesian constitutive artificial neural networks,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Discovering uncertainty: Bayesian constitutive artificial neural networks,

Reference 79

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Observation 75271d4c-f739-4eea-8bae-600f810ac769 · outbound

This paper cites ViscoelasticNet: A physics informed neural network framework for stress discovery and model selection,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading ViscoelasticNet: A physics informed neural network framework for stress discovery and model selection,

Reference 81

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation cdd14227-9cc6-4d10-bd85-9a9d146a356b · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 82

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Observation 3125cb98-60e3-4471-abc1-9a72f74c26e0 · outbound

This paper cites Model -free Data-Driven viscoelasticity in the frequency domain,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Model -free Data-Driven viscoelasticity in the frequency domain,

Reference 83

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Observation b52bbf19-e6d0-4feb-ad62-11fada4a3e58 · outbound

This paper cites Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning

Reference 84

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Observation 208d2215-5618-4b73-a711-6939cb488135 · outbound

This paper cites Data-driven physics-informed constitutive metamodeling of complex fluids: A multifidelity neural network (MFNN) framework,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-driven physics-informed constitutive metamodeling of complex fluids: A multifidelity neural network (MFNN) framework,

Reference 85

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Reference 86

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Observation 4df1c991-4818-4d65-a111-79904920721c · outbound

This paper cites What Uncertainties Do We Need in Bayesian Deep Learning for Computer Vision?.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading What Uncertainties Do We Need in Bayesian Deep Learning for Computer Vision?

Reference 87

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Observation 17d047f5-3c1e-41e9-86a3-61f9953f6aaf · outbound

This paper cites A generalized dual potential for inelastic Constitutive Artificial Neural Networks: A JAX implementation at finite strains,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A generalized dual potential for inelastic Constitutive Artificial Neural Networks: A JAX implementation at finite strains,

Reference 88

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation d199980c-9658-4579-84c3-5cedb00cac49 · outbound

This paper cites Bayesian Physics Informed Neural Networks for real -world nonlinear dynamical systems,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Bayesian Physics Informed Neural Networks for real -world nonlinear dynamical systems,

Reference 89

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Observation 3a0bfde3-5178-4291-a09d-feaf2321c11b · outbound

This paper cites Empowering approximate Bayesian neural networks with functional priors through anchored ensembling for mechanics surrogate modeling applications,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Empowering approximate Bayesian neural networks with functional priors through anchored ensembling for mechanics surrogate modeling applications,

Reference 90

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation fd3e0346-962a-4a7e-9c3c-3599fe540a27 · outbound

This paper cites Uncertainty quantification for noisy inputs -outputs in physics-informed neural networks and neural operators,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Uncertainty quantification for noisy inputs -outputs in physics-informed neural networks and neural operators,

Reference 91

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Observation b42b0096-5b7c-4d07-81e9-60b81281dbe1 · outbound

This paper cites FE ANN : an efficient data -driven multiscale approach based on physics-constrained neural networks and automated data mining,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading FE ANN : an efficient data -driven multiscale approach based on physics-constrained neural networks and automated data mining,

Reference 92

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source=pdf_text observed=2026-08-06T16:47:53.599219Z digest=sha256:9fbe5f909d9dc7b46f27a1f196a7194d2f848e570181df4d87ebc1aee002a547

Observation 16059ef9-10f0-4335-b028-7c24958444f3 · outbound

This paper cites Viscoelasticty with physics-augmented neural networks: Model formulation and training methods without prescribed internal variables.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Viscoelasticty with physics-augmented neural networks: Model formulation and training methods without prescribed internal variables

Reference 93

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 5a86fe6b-0c7a-4349-a72e-00f278063435 · outbound

This paper cites Neural network - based multiscale modeling of finite strain magneto -elasticity with relaxed convexity criteria,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Neural network - based multiscale modeling of finite strain magneto -elasticity with relaxed convexity criteria,

Reference 94

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 80f98a3d-2ab9-483b-8a21-473b1c0de2d7 · outbound

This paper cites Data-oriented constitutive modeling of plasticity in metals,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-oriented constitutive modeling of plasticity in metals,

Reference 95

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 492e153d-f8e7-49a0-b7c2-3dd3cd238422 · outbound

This paper cites Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior,

Reference 96

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 28abf71f-0cda-4ae1-b650-66b56fef7b6c · outbound

This paper cites Multiscale Modeling Meets Machine Learning: What Can We Learn?,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Multiscale Modeling Meets Machine Learning: What Can We Learn?,

Reference 97

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Observation a7c93778-c5eb-4b0b-8bd3-ba3e5a3125ef · outbound

This paper cites Integrating machine learning and multiscale modeling—perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Integrating machine learning and multiscale modeling—perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences,

Reference 98

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Observation bbaac2ee-4028-41d2-b6ba-96d766198eb4 · outbound

This paper cites Hernández, A.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Hernández, A

Reference 99

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 6957d47e-373b-4be1-a5d9-45df9ff7ffef · outbound

This paper cites Data-driven computational mechanics,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Data-driven computational mechanics,

Reference 100

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Observation 5069e12a-9b8b-4ed8-8551-ee4da8cad700 · outbound

This paper cites Model-Free Data-Driven inelasticity,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Model-Free Data-Driven inelasticity,

Reference 101

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Observation cd2bfa2a-497c-4ec2-8115-65c68e1c674c · outbound

This paper cites On sparse regression, Lp -regularization, and automated model discovery,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading On sparse regression, Lp -regularization, and automated model discovery,

Reference 102

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Observation 2d50be73-07fb-4789-b662-45a6cf898693 · outbound

This paper cites Keeton, Proceedings of the 12th USENIX conference on Operating Systems Design and Implementation.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Keeton, Proceedings of the 12th USENIX conference on Operating Systems Design and Implementation

Reference 103

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source=pdf_text observed=2026-08-06T16:47:54.553798Z digest=sha256:221a75f2cd2578bbd3a05bf09c210f6dc33f3ed4bf6aaba0298159bc77ccd0fb

Observation 9faf612e-049d-4e0b-b785-d5c6d0889850 · outbound

This paper cites A POD-TANN approach for the multiscale modeling of materials and macroelement derivation in geomechanics.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading A POD-TANN approach for the multiscale modeling of materials and macroelement derivation in geomechanics

Reference 104

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local_arxiv, observed 2026-08-06T16:48:02.322651Z

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source=pdf_text observed=2026-08-06T16:47:54.631428Z digest=sha256:68187a2aeff1153be9dccb4913abb42e38c9049b8369da8c7206aac5d5a4b4f1

Observation eb5abedf-c5ff-457a-bce0-6b34ec0946fa · outbound

This paper cites Tunnel lining defects identification using TPE-CatBoost algorithm with GPR data: A model test study,.

A Physics-Informed Data-Driven Discovery for Constitutive Modeling of Compressible, Nonlinear, History-Dependent Soft Materials under Multiaxial Cyclic Loading Tunnel lining defects identification using TPE-CatBoost algorithm with GPR data: A model test study,

Reference 105

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Pith citing papers

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