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Paper Citation Record · LEDGER

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials

As of 12 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 1 inbound Pith citation observation for arXiv:2506.10352.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.10352 v2

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:33:49.569153Z

measured 76 of 76 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T22:19:22.194204Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

75 of 75 outbound references displayed

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  • verified fuzzy65
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6dd996bb-481b-4a87-874f-9cd07fa02a7f · outbound

This paper cites Deep learning for plasticity and thermo-viscoplasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Deep learning for plasticity and thermo-viscoplasticity

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 06a55344-104d-40fc-8733-dff40e765e84 · outbound

This paper cites Distance-preserving manifold denoising for data-driven mechanics.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Distance-preserving manifold denoising for data-driven mechanics

Reference 2

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4ccd8815-c0bf-470a-bbcb-f300d2526446 · outbound

This paper cites A data-driven approach for plasticity using history surrogates: Theory and application in the context of truss structures.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A data-driven approach for plasticity using history surrogates: Theory and application in the context of truss structures

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 1588ffb7-f421-49cd-b6e9-c0f72aabf08c · outbound

This paper cites Scheduled sampling for sequence prediction with recurrent neural networks.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Scheduled sampling for sequence prediction with recurrent neural networks

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation fc41d4c7-9cc5-4299-a11d-10332e0f4d94 · outbound

This paper cites From cp-fft to cp-rnn: Recurrent neural network surrogate model of crystal plasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials From cp-fft to cp-rnn: Recurrent neural network surrogate model of crystal plasticity

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5d804e70-1f42-4039-989b-ac82279dadf4 · outbound

This paper cites On the importance of self-consistency in recurrent neural network models representing elasto-plastic solids.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials On the importance of self-consistency in recurrent neural network models representing elasto-plastic solids

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 052e9105-307a-4da7-8db4-8843fe4804b8 · outbound

This paper cites Data-driven frac- ture mechanics.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Data-driven frac- ture mechanics

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f0b51aca-6682-4b55-abb1-dc4a912a1b7c · outbound

This paper cites Data-driven rate-dependent fracture mechanics.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Data-driven rate-dependent fracture mechanics

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 198ae7f5-20f7-46ab-bb5f-9bad2ea9236e · outbound

This paper cites Neural ordinary differential equations.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Neural ordinary differential equations

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 0a41ed7b-72f0-4b45-8b35-a2b262e8e945 · outbound

This paper cites Thermodynamics with internal state variables.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Thermodynamics with internal state variables

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 253369e5-6c34-405e-ad5c-e8d1b2ec9d2c · outbound

This paper cites Neural networks for constitutive modeling: From universal function approximators to advanced models and the integration of physics.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Neural networks for constitutive modeling: From universal function approximators to advanced models and the integration of physics

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 60397b8e-2519-4fee-aa70-6e2f2e113356 · outbound

This paper cites Differentiable neural-integrated meshfree method for forward and inverse modeling of finite strain hyperelasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Differentiable neural-integrated meshfree method for forward and inverse modeling of finite strain hyperelasticity

Reference 12

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation cb6dc886-73a7-4b93-9ee7-3f53afde798a · outbound

This paper cites Model-free data-driven inelasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Model-free data-driven inelasticity

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4a728ca3-2a01-4e40-bd0a-e8a9ff57da62 · outbound

This paper cites Convex neural networks learn generalized standard material models.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Convex neural networks learn generalized standard material models

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ad081a38-df00-4a53-b33c-d8e910f4ed1d · outbound

This paper cites Prediction of the evolution of the stress field of polycrystals undergoing elastic-plastic deformation with a hybrid neural network model.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Prediction of the evolution of the stress field of polycrystals undergoing elastic-plastic deformation with a hybrid neural network model

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation e2ff30b0-b35e-404d-bbd0-c56c34c9711d · outbound

This paper cites Dnn2: A hyper- parameter reinforcement learning game for self-design of neural network based elasto-plastic constitutive descriptions.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Dnn2: A hyper- parameter reinforcement learning game for self-design of neural network based elasto-plastic constitutive descriptions

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 840d9a0c-e97d-41c2-9e6f-121636263721 · outbound

This paper cites A review on data-driven constitutive laws for solids.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A review on data-driven constitutive laws for solids

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5ed94fb9-6166-403f-bebb-1df38500338c · outbound

This paper cites Data-driven constitutive models for brittle solids displaying progressive anisotropic damage.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Data-driven constitutive models for brittle solids displaying progressive anisotropic damage

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f8511f3c-3963-4132-9106-0459d792288f · outbound

This paper cites Knowledge-based modeling of material behavior with neural networks.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Knowledge-based modeling of material behavior with neural networks

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4d3e5da9-2e48-42c0-ab13-1915ba06fa8d · outbound

This paper cites Deep Learning.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Deep Learning

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 354b235b-e83f-46de-896d-c52dd00abbed · outbound

This paper cites Deep learning.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Deep learning

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4f95c594-727d-4f0e-93f4-88628717cca0 · outbound

This paper cites On the potential of recurrent neural networks for modeling path dependent plasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials On the potential of recurrent neural networks for modeling path dependent plasticity

Reference 22

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 04cd035e-d72e-4a06-801a-70a170f729e1 · outbound

This paper cites Constitutive model character- ization and discovery using physics-informed deep learning.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Constitutive model character- ization and discovery using physics-informed deep learning

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation be603d88-a0ec-41b9-ae34-d114b105355c · outbound

This paper cites Failure criteria for unidirectional fiber composites.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Failure criteria for unidirectional fiber composites

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9144ad2d-4b80-45a4-a175-fd801e36d7f2 · outbound

This paper cites Sequential deep operator networks (s-deeponet) for predicting full-field solutions under time-dependent loads.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Sequential deep operator networks (s-deeponet) for predicting full-field solutions under time-dependent loads

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation be279888-9b53-4fdd-9270-f2dac3b025ab · outbound

This paper cites A physics-constrained data-driven approach based on locally convex reconstruction for noisy database.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A physics-constrained data-driven approach based on locally convex reconstruction for noisy database

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 61d46ee6-a7fc-4a04-8eec-c945f049f9e9 · outbound

This paper cites Manifold learning based data-driven modeling for soft biological tissues.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Manifold learning based data-driven modeling for soft biological tissues

Reference 27

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4213e206-a788-4cfb-99b6-87439911a893 · outbound

This paper cites A hybrid deep neural operator/finite element method for ice-sheet modeling.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A hybrid deep neural operator/finite element method for ice-sheet modeling

Reference 28

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:43.316791Z digest=sha256:3de19ed823db31150729142b468b42e167a7d3654df10698df4dfb49d1b8e26a

Observation 0565b8d0-845e-4f38-aaef-f16da19e4513 · outbound

This paper cites Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials

Reference 29

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raw_fallback, observed 2026-08-07T04:34:02.472739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 226e99a5-e5cc-431b-9fd7-335aebaecac4 · outbound

This paper cites Deep autoencoders for physics-constrained data-driven nonlinear materials modeling.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Deep autoencoders for physics-constrained data-driven nonlinear materials modeling

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-07T04:34:02.225002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:43.538988Z digest=sha256:9409a56ddbd1318f748b8ba50e0d8edf403d435ee8107e754be7ee8bb163c752

Observation 3f43b9cb-c7c0-4002-ba23-7d3115e39274 · outbound

This paper cites Machine learning based modeling of path- dependent materials for finite element analysis.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Machine learning based modeling of path- dependent materials for finite element analysis

Reference 31

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verified fuzzy
raw_fallback, observed 2026-08-07T04:34:01.900289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:43.690228Z digest=sha256:6d76382d58a688fa85a815102eef5a268ffa24244be137c1ed4f06b70eb323f1

Observation eb431652-df7b-4d7b-9d70-2a05be5cf7e1 · outbound

This paper cites Incremental neural controlled differential equations for modeling of path-dependent material behavior.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Incremental neural controlled differential equations for modeling of path-dependent material behavior

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:34:01.510295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:43.805235Z digest=sha256:b38813c2648f0294810dc8e97ebafc9f3c04d167ae9578f6e1b7588a072b9334

Observation 3abc2dd8-9f04-4a31-973a-48ba8b62f2d2 · outbound

This paper cites Historical review of internal state variable theory for inelasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Historical review of internal state variable theory for inelasticity

Reference 33

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raw_fallback, observed 2026-08-07T04:34:01.151752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:43.975652Z digest=sha256:3b087ed4895eac2659964a3d301910abaca974d45b9145cd776c977cdc935224

Observation d50b17a9-82ee-46d8-95f8-dd199aa15294 · outbound

This paper cites A machine learning based plasticity model using proper orthogonal decomposition.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A machine learning based plasticity model using proper orthogonal decomposition

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:34:00.881211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:44.094448Z digest=sha256:72d68b95f59ec4f5cb50094eda884f697917c583e45bfffe8fbd16044ba07cb3

Observation ddfecaa4-9060-42ac-ab7b-d47c5cab7d40 · outbound

This paper cites A neural ordinary differential equation framework for modeling inelastic stress response via internal state variables.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A neural ordinary differential equation framework for modeling inelastic stress response via internal state variables

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:34:00.570642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:44.244645Z digest=sha256:0c9e4f3aef9a2e5004a6d38393b8237ebe9101b2dbe34747e1e9a8fe4e6e173b

Observation ab1b950f-1fae-4331-a0fc-81acf8d662d3 · outbound

This paper cites Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:34:00.261319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:44.360695Z digest=sha256:9c6331607c7184869b42e5e93b5f0983bb7ca4fc00002b7e0d84e8ff9d54e1e3

Observation 70129c88-9c04-4656-af36-458ed14a3807 · outbound

This paper cites Neural controlled differ- ential equations for irregular time series.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Neural controlled differ- ential equations for irregular time series

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:59.959286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:44.482945Z digest=sha256:7b176d2879bab1343ed41e9919f8f570981a954bd0951a792f5c2c0e3594ec72

Observation b3f68517-eaf8-4920-b2bb-6569ce6bd29f · outbound

This paper cites Data-driven computational mechanics.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Data-driven computational mechanics

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:59.675219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:44.597040Z digest=sha256:0f50288c3e9927fcc0b21675d4f8352b37771fb312f7d888bdb1f79e8fd24429

Observation 3f42770c-0d63-4dc8-aff1-2c1b3a3de38e · outbound

This paper cites Polyconvex anisotropic hyperelasticity with neural networks.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Polyconvex anisotropic hyperelasticity with neural networks

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:59.371715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:44.741604Z digest=sha256:e3e4603d1ade87f85cba2f37c83490a64a22115a98c090eb9b6e0b4617ba90b0

Observation 7de3ad1d-d930-4197-88e6-56f1d29620e5 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Neural operator: Learning maps between function spaces with applications to pdes

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T04:33:44.877757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:44.877757Z digest=sha256:64d2d3aaefdbea649c9d4195d9f630fa4e4f586ea41571dab534d99b00a48b5c

Observation 051d2b7f-7ef2-40c9-b198-6ed683aa585d · outbound

This paper cites Artificial neural network as an incremental non-linear constitutive model for a finite element code.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Artificial neural network as an incremental non-linear constitutive model for a finite element code

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:59.103774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:45.057485Z digest=sha256:3ae2d7de66440ab608baf03a0175e68b04332093b0ddf51473605df05aa3e92a

Observation 6655f30b-9a2c-4bc5-b93f-20c4339aa444 · outbound

This paper cites Enhancing the locality and breaking the memory bottleneck of transformer on time series forecasting.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Enhancing the locality and breaking the memory bottleneck of transformer on time series forecasting

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:58.796598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:45.229033Z digest=sha256:f1eeaa136c1d5b3be19a843e73f6756d538247ac36e50f6935393dc738d75e1f

Observation 85591e2f-fad4-4e2b-93b9-b9a78db5c8d6 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Fourier Neural Operator for Parametric Partial Differential Equations

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T04:33:45.339760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:45.339760Z digest=sha256:12c93f21c8e9dc90c3d94962db09f04d7380f0c73aea40658d732ef6674db0cb

Observation 3a2acf98-0098-47dc-8a73-ad598f033174 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T04:33:45.467387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:45.467387Z digest=sha256:f7897cffcef145fbfc3608da4ebec1c05c3d7f013a9a0247cc109043f18864c8

Observation d47a2320-29ad-47c0-87a9-ec5236fc9efb · outbound

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

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:58.459648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:45.597045Z digest=sha256:18a8c12c325c6a4f6bc5fdff691ba8f721b98ff35fc5c58c9547cabcaed8ced7

Observation e9b0a170-2b2f-4ef9-bdfd-01299d959e6e · outbound

This paper cites an unresolved cited work.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:33:58.143194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:45.705604Z digest=sha256:279885bc1c29313f9729183c445e4bf5507e489ce3313941b54e166c17521290

Observation 911a346a-6c9e-4aea-8250-cf09cebfb14d · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T04:33:45.992497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:45.992497Z digest=sha256:d51b3aa994dab756cff5724c9bb6a016a7048e3cce9508bc44c83b06ac814c36

Observation 3742e4eb-1023-4d25-9429-be8047105a0e · outbound

This paper cites Physically recurrent neural networks for path-dependent heterogeneous materials: Embedding constitutive models in a data-driven surrogate.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Physically recurrent neural networks for path-dependent heterogeneous materials: Embedding constitutive models in a data-driven surrogate

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:57.516124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.129916Z digest=sha256:af939b7845fce96bf08d9fc3a3709b734b1879082059796161fa3d656501fee2

Observation 542b9c93-a36f-4f4c-83cb-9e92da4c2588 · outbound

This paper cites Multiscale modeling of inelastic materials with thermodynamics-based artificial neural networks (tann).

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Multiscale modeling of inelastic materials with thermodynamics-based artificial neural networks (tann)

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:57.211494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.260390Z digest=sha256:e5f46aca2bf0b6d9922d3b65d874f10106c1a6549d25abb89ea97cc5cf939ae4

Observation e868fbfb-3c5f-465e-9d81-4b12810205b4 · outbound

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

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Evolution tann and the identification of internal variables and evolution equations in solid mechanics

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:56.899695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.386205Z digest=sha256:63363e5f7b4bb0b0ac7a6bb25b05990000dced7d12bd70cb64ff8def1eae9fe7

Observation ff8c3d3c-442f-4e53-b371-74750be19e18 · outbound

This paper cites Thermodynamics-based artificial neural networks for constitutive modeling.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Thermodynamics-based artificial neural networks for constitutive modeling

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:56.605395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.524599Z digest=sha256:d6b420e288242467891b73fea183a37100a6e41b70e644fa9588864a4db263fd

Observation e2eb81c5-c24e-45d6-a578-098ab783d3c9 · outbound

This paper cites Curriculum dropout, in: Proceedings of the IEEE international conference on computer vision, pp.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Curriculum dropout, in: Proceedings of the IEEE international conference on computer vision, pp

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:56.350356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.636464Z digest=sha256:880ee0dd7c9c59ea1c8c763e5a4aa7e6d8e20f198eb5987e282bc7f094475a6a

Observation d5ea624e-59ed-4007-b6d9-af50e8520de3 · outbound

This paper cites an unresolved cited work.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:33:56.067191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.758823Z digest=sha256:a27f4a18b4b2d5e7f0a7b03946954490fad42a749102cf8385acd93dc673849c

Observation d404de08-fe8a-42f0-ba36-26dd022a91fe · outbound

This paper cites A data-driven approach to nonlinear elasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A data-driven approach to nonlinear elasticity

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:55.405378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.007468Z digest=sha256:12f0f6a79532b25c68b51d45b8998825746e2afdca74f9634df4a41519669ffb

Observation d4009c0d-449d-4da5-95aa-807046092758 · outbound

This paper cites Linear attention coupled fourier neural operator for simulation of three-dimensional turbulence.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Linear attention coupled fourier neural operator for simulation of three-dimensional turbulence

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:55.085381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.148843Z digest=sha256:983e187d0d434ca3423b132d65cf7bb5fac308cd84a1788b016f0fa4e1d82d6e

Observation 19fe5d07-3074-4184-9dfe-67dc48965f26 · outbound

This paper cites Attention-enhanced neural network models for turbulence simulation.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Attention-enhanced neural network models for turbulence simulation

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:54.766297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.260798Z digest=sha256:94afa360f998b449827395d28fe475710e552edc24e227ccc08dd3a1df87f2f5

Observation e1ac7825-6da8-4b3d-b94f-5b731aca2aa6 · outbound

This paper cites an unresolved cited work.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:33:54.424812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.397204Z digest=sha256:48701f98b637702bc58ce129019b380bde0b1d971e938cc9bc4e5928701ab05d

Observation 03e4348d-8556-4478-92c4-09ccd88fe117 · outbound

This paper cites A compar- ative study on different neural network architectures to model inelasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A compar- ative study on different neural network architectures to model inelasticity

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:54.137803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.565140Z digest=sha256:77e379cd4bc64e0e125be12037c0899d3bc88f99047831aac6b59248970d124f

Observation 28c45446-9d19-4860-b498-edc431f27254 · outbound

This paper cites Learning to simulate complex physics with graph networks, in: International conference on machine learning, PMLR.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Learning to simulate complex physics with graph networks, in: International conference on machine learning, PMLR

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:53.827251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.700484Z digest=sha256:0fbb5b9bd6c0499bb09079c08e6de1237abd1a730fca3fcd128af542f5580a72

Observation 7b7a42ac-d7e5-4597-8ddf-6d3a637d7869 · outbound

This paper cites The mechanics and thermodynamics of continuous media.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials The mechanics and thermodynamics of continuous media

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:53.468748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.828810Z digest=sha256:7f175b609dc8819b9bd9f64a6c7bc1319f2b5f13e203f2e6a8ab172a83c2614c

Observation af54d542-761a-4f8d-a7d4-71896c4a0f88 · outbound

This paper cites Computational inelasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Computational inelasticity

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:53.218916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:47.970522Z digest=sha256:f1f79a93a68d380ccf7c1199570fde912c5624979a035f36971152768b95c542

Observation f9d5900f-961b-44b0-bd8f-febfd0a47b64 · outbound

This paper cites Consistent tangent operators for rate- independent elastoplasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Consistent tangent operators for rate- independent elastoplasticity

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:52.952132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.113510Z digest=sha256:02eeb2121b4f73fc01f1b31f4c1b1b20f7b58469e7518962d9a2932a17fb2ae6

Observation ca875166-90c8-4220-a554-3cb2f8297d15 · outbound

This paper cites A novel self- adversarial training scheme for enhanced robustness of inelastic constitutive descriptions by neural networks.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A novel self- adversarial training scheme for enhanced robustness of inelastic constitutive descriptions by neural networks

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:52.686371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.271923Z digest=sha256:8282152e6f4cd6246b63226cc3cb1c21e3c86e3dda27714209cfdfca7773ffca

Observation a463563f-cccd-418b-9071-ebf958efea37 · outbound

This paper cites Nn-euclid: Deep-learning hyperelasticity without stress data.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Nn-euclid: Deep-learning hyperelasticity without stress data

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:52.406757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.392694Z digest=sha256:f7a081e86ef207ae0a1f337e9f02ea8f2c62c79d7967e474d20f21865869f782

Observation 758fccc7-31af-4918-8ad8-a3c067892378 · outbound

This paper cites Rational mechanics of materials.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Rational mechanics of materials

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:52.103614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.519805Z digest=sha256:52191967fede43a00ee07a427df79d3aa40f480aced50332b5a2373c58b7c008

Observation d64fbd47-9035-4bd7-a22d-a436871ececc · outbound

This paper cites Attention is all you need.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Attention is all you need

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:51.849675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.673037Z digest=sha256:1abc2a8aae366fb9083d4cac659ee90ed0fc7a1c3b92d51dfa4ef13ce31ae9a3

Observation 6042b0a5-7920-430d-83a7-bf54b67e2d28 · outbound

This paper cites Geometric learning for computational me- chanics part ii: Graph embedding for interpretable multiscale plasticity.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Geometric learning for computational me- chanics part ii: Graph embedding for interpretable multiscale plasticity

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:51.582988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.805351Z digest=sha256:af1fc7651763b647a2e73f3c5a8ba839e7f52446ffec0cb2eca974c2b265c915

Observation c48c4cdc-a1d3-46ed-bfc7-231439148487 · outbound

This paper cites A deep learning framework for constitutive modeling based on temporal convolutional network.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A deep learning framework for constitutive modeling based on temporal convolutional network

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:51.271913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:48.952303Z digest=sha256:1755492c0822e17fec9161c581c0f609e97f778e6aea1a999ebeff8c4a78f536

Observation c70d4f7f-c566-41d1-82a0-91b438a23599 · outbound

This paper cites U-fno—an enhanced fourier neural operator-based deep-learning model for multiphase flow.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials U-fno—an enhanced fourier neural operator-based deep-learning model for multiphase flow

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:50.985832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:49.101245Z digest=sha256:6f3179f8f6530dcbfd28bef5c0961cd8c4061aa82c25bb56c78a1ce5c85d32b3

Observation 50a9ae64-efe2-49ab-b1f0-36a786721ea5 · outbound

This paper cites A recurrent neural network- accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials A recurrent neural network- accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:50.727852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:49.216712Z digest=sha256:51289c1daad19aaf665a2613774f8e2d6fa464b1d44f2ed02e5f89dab956faf3

Observation cf538e89-a3a1-46b4-8263-7454bf577f91 · outbound

This paper cites Jax-fem: A differentiable gpu-accelerated 3d finite element solver for au- tomatic inverse design and mechanistic data science.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Jax-fem: A differentiable gpu-accelerated 3d finite element solver for au- tomatic inverse design and mechanistic data science

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:50.413694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:49.327729Z digest=sha256:2c09c81b57cbcae659f357d7598d11256e63b2ebfb9aac51c045bebd77606480

Observation 0d538a6e-17e7-4e34-b71f-1897e1cf0709 · outbound

This paper cites Learning deep implicit fourier neural operators (ifnos) with applications to heterogeneous material modeling.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Learning deep implicit fourier neural operators (ifnos) with applications to heterogeneous material modeling

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:50.133411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:49.457572Z digest=sha256:9b53994b6b66b15a88062743058bc0137c8f9d3a142be9847a5fc1376379fb02

Observation 4872b14a-34f2-45c4-9ffe-2cac4eef3ce6 · outbound

This paper cites Operator learning for homogenizing hypere- lastic materials, without pde data.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Operator learning for homogenizing hypere- lastic materials, without pde data

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-07T04:33:49.569153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:49.569153Z digest=sha256:a3f842ba2c41afb9134c17d57d36890847f3965aa7197a03250ad3e58776fe47

Observation e952a1f7-3e95-4ab5-94b0-747753bd8087 · outbound

This paper cites Proceedings of the National Academy of Sciences 116, 26414–26420.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Proceedings of the National Academy of Sciences 116, 26414–26420

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:55.699814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:46.901307Z digest=sha256:1cbef44a2fcd367f8c949d796632fcbb350468eee30c4def6e74cdda25d0579b

Observation 9fa2a547-9797-42c6-83d8-022b26f8d924 · outbound

This paper cites Journal of the Mechanics and Physics of Solids 178, 105329.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Journal of the Mechanics and Physics of Solids 178, 105329

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:57.851675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T04:33:45.825452Z digest=sha256:941ddadc1d173a7ee9f639f2da5c0770f052b2913764971ab4c867fbe0cb8620

Pith citing papers

Observation ad73a7a9-e2df-41f6-98f6-929e5ae9ab95 · inbound

Inelastic Constitutive Kolmogorov-Arnold Networks: A generalized framework for automated discovery of interpretable inelastic material models cites this paper.

Inelastic Constitutive Kolmogorov-Arnold Networks: A generalized framework for automated discovery of interpretable inelastic material models History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials

Reference 1983

Resolution
unresolved
no resolver link, observed 2026-08-02T22:19:22.194204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:19:22.194204Z digest=sha256:bf8117f5e2aa95ebdd7b3ffef49692ed138164d57c3e0f2a578950850aeab105