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Paper Citation Record · LEDGER

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates

As of 13 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2601.09160.

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pith.paper-citation-record.v1
2601.09160 v1

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measured 57 of 57 reference resolution

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measured 58 of 58 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

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Outbound references

Observation 1846d937-9d4c-4d07-8c68-9686ed2f4c45 · outbound

This paper cites Thin film materials: stress, defect formation and surface evolution.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Thin film materials: stress, defect formation and surface evolution

Reference 1

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Observation 111625d0-061a-4c08-8c63-93e4681bfcdb · outbound

This paper cites The tension of metallic films deposited by electrolysis.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates The tension of metallic films deposited by electrolysis

Reference 2

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Observation fd2b062a-f31b-489b-b793-12732738952b · outbound

This paper cites Extensions of the stoney formula for substrate curvature to configu- rations with thin substrates or large deformations.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Extensions of the stoney formula for substrate curvature to configu- rations with thin substrates or large deformations

Reference 3

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Observation d93c7c13-d513-4dc5-a3e6-517bdb85b245 · outbound

This paper cites Celebrating the 100th anniversary of the stoney equation for film stress: Developments from polycrystalline steel strips to single crystal silicon wafers.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Celebrating the 100th anniversary of the stoney equation for film stress: Developments from polycrystalline steel strips to single crystal silicon wafers

Reference 4

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Observation 0e5c0f39-ea73-4c01-a771-050fb9cc2229 · outbound

This paper cites On the stoney formula for a thin film/substrate system with nonuniform substrate thickness.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates On the stoney formula for a thin film/substrate system with nonuniform substrate thickness

Reference 5

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Observation 0c827aac-0918-41cd-ba53-19611af0110a · outbound

This paper cites Enhancing accuracy to stoney equation.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Enhancing accuracy to stoney equation

Reference 6

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Observation 600fd0a2-c0c4-46e1-bfc5-e54276783184 · outbound

This paper cites Modified stoney’s equation for evaluation of residual stresses on thin film.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Modified stoney’s equation for evaluation of residual stresses on thin film

Reference 7

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Observation 7345f9e0-8ddb-4bd6-86e3-db7990394172 · outbound

This paper cites Extending stoney’s equation to thin, elastically anisotropic substrates and bilayer films.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Extending stoney’s equation to thin, elastically anisotropic substrates and bilayer films

Reference 8

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Observation 4be6bcfb-8f11-4c86-9978-1788f3aec88f · outbound

This paper cites Extension of the stoney formula for the incremental stress of thin films.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Extension of the stoney formula for the incremental stress of thin films

Reference 9

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Observation 383561f2-f9ff-47a4-b30e-60ff87316643 · outbound

This paper cites Large deformation and geometric instability of substrates with thin-film deposits.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Large deformation and geometric instability of substrates with thin-film deposits

Reference 10

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Observation 9fbcd9fe-acd5-47f3-a044-581275b10bdb · outbound

This paper cites Modified stoney formula for determining stress within thin films on large-deformation isotropic circular plates.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Modified stoney formula for determining stress within thin films on large-deformation isotropic circular plates

Reference 11

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Observation 546b2523-60cd-49af-8e6c-c3e4346b4676 · outbound

This paper cites Geometrically nonlinear stress-deflection relations for thin film/substrate systems.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Geometrically nonlinear stress-deflection relations for thin film/substrate systems

Reference 12

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Observation 7419529f-38db-4c3e-9a2a-8bcc95bdd0f9 · outbound

This paper cites Stress-warping relation in thin film coated wafers.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Stress-warping relation in thin film coated wafers

Reference 13

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Observation 52096b66-2d1e-4ab3-9979-ccd535b0e8cd · outbound

This paper cites Modified stoney’s equation with anisotropic substrates undergoing large deformations.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Modified stoney’s equation with anisotropic substrates undergoing large deformations

Reference 14

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Observation 215bd06f-f4b3-4e55-b4f5-a405053c04d7 · outbound

This paper cites Methods for determining piezoelectric properties of thin epitaxial films: Theoretical foundations.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Methods for determining piezoelectric properties of thin epitaxial films: Theoretical foundations

Reference 15

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Observation af06a112-54b1-4e25-9f6e-385e1c53dd68 · outbound

This paper cites Stoney formula for piezo- electric film/elastic substrate system.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Stoney formula for piezo- electric film/elastic substrate system

Reference 16

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Observation bc13f4e8-7fce-40a9-a88e-1dc073fbc60e · outbound

This paper cites Fundamentals of flexoelectricity in solids.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Fundamentals of flexoelectricity in solids

Reference 17

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Observation 672a71ae-2b0e-4d2b-b183-7d61540f6aa1 · outbound

This paper cites Comprehensive review on flexoelectric energy harvesting technology: Mechanisms, device configurations, and potential applications.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Comprehensive review on flexoelectric energy harvesting technology: Mechanisms, device configurations, and potential applications

Reference 18

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Observation b9f35d2d-2e47-4a39-98fb-de1dd3af80c5 · outbound

This paper cites Nanoscale flexoelectricity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Nanoscale flexoelectricity

Reference 20

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Observation e3323dd8-9844-4249-9666-8cfbc720827c · outbound

This paper cites Electroactive polymers for sensing.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Electroactive polymers for sensing

Reference 21

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Observation 68bc97e2-afdf-4c17-8754-97c919e1a7b9 · outbound

This paper cites On the possibility of piezoelectric nanocompos- ites without using piezoelectric materials.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates On the possibility of piezoelectric nanocompos- ites without using piezoelectric materials

Reference 22

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Observation 65fd93cc-d32a-4710-a86e-e95ba030e8ef · outbound

This paper cites Computational evaluation of the flexoelectric effect in dielectric solids.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Computational evaluation of the flexoelectric effect in dielectric solids

Reference 23

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Observation 297b128c-f784-4a91-a7bb-71bacf67f4b6 · outbound

This paper cites Flexoelectricity in atomic monolayers from first principles.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Flexoelectricity in atomic monolayers from first principles

Reference 24

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Observation 25fb8f5a-6b07-4fab-8fb6-064977ef3105 · outbound

This paper cites Ab initio study of flexoelectricity in mxene monolayers.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Ab initio study of flexoelectricity in mxene monolayers

Reference 25

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Observation eb2ac4c5-dd91-4499-831b-76dd9b36b2b2 · outbound

This paper cites Transversal flexoelectric coefficient for nanostruc- tures at finite deformations from first principles.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Transversal flexoelectric coefficient for nanostruc- tures at finite deformations from first principles

Reference 26

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Observation 636981b2-7016-4d9b-b47e-d750cb328aa9 · outbound

This paper cites Critical curvature localization in graphene.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Critical curvature localization in graphene

Reference 27

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Observation 37be2edb-8796-478d-a2d3-7cfaf7de1e09 · outbound

This paper cites Critical curvature localiza- tion in graphene.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Critical curvature localiza- tion in graphene

Reference 28

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Observation b69d641b-e306-41a9-b983-da5e7aa58df0 · outbound

This paper cites Flexoelectricity in soft materials and biological membranes.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Flexoelectricity in soft materials and biological membranes

Reference 29

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Observation f228450e-72f7-4c74-8487-9df11ab69856 · outbound

This paper cites Flexoelectricity in soft elastomers and the molecular mechanisms underpinning the design and emergence of giant flexoelectricity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Flexoelectricity in soft elastomers and the molecular mechanisms underpinning the design and emergence of giant flexoelectricity

Reference 30

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Observation ec956543-c8af-4c45-a710-fbdf4fd71127 · outbound

This paper cites Modeling flexoelectricity in soft dielectrics at finite deformation.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Modeling flexoelectricity in soft dielectrics at finite deformation

Reference 31

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Observation b562f9b4-261e-4761-af5f-41c1c1951dbe · outbound

This paper cites A static and dynamic theory for photo-flexoelectric liquid crystal elastomers and the coupling of light, deformation and electricity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates A static and dynamic theory for photo-flexoelectric liquid crystal elastomers and the coupling of light, deformation and electricity

Reference 32

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Observation 8578346d-70a2-4831-9b57-ac673d44f667 · outbound

This paper cites The collusion of flexoelec- tricity and hopf bifurcation in the hearing mechanism.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates The collusion of flexoelec- tricity and hopf bifurcation in the hearing mechanism

Reference 33

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Observation e40409d8-d9ca-4818-a275-d355b9b71e2d · outbound

This paper cites An electromechanical liquid crystal model of vesicles.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates An electromechanical liquid crystal model of vesicles

Reference 34

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Observation c9117383-34a0-4ace-9da2-11dd345507db · outbound

This paper cites Modelling and numerical simulation of remodelling processes in cortical bone: An iga approach to flexoelectricity-induced osteocyte apoptosis and subsequent bone cell diffusion.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Modelling and numerical simulation of remodelling processes in cortical bone: An iga approach to flexoelectricity-induced osteocyte apoptosis and subsequent bone cell diffusion

Reference 35

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Observation 609eb2fb-c072-44ed-a172-6d69698e0048 · outbound

This paper cites The number and types of all possible rotational symmetries for flexoelectric tensors.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates The number and types of all possible rotational symmetries for flexoelectric tensors

Reference 36

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Observation e4ceb16d-3aad-4535-b86c-3c105733ddfe · outbound

This paper cites Second gradient of strain and surface-tension in linear elasticity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Second gradient of strain and surface-tension in linear elasticity

Reference 37

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Observation 69f27e4a-dad3-439a-9781-e7cea6d64690 · outbound

This paper cites Insights into flexoelectric solids from strain-gradient elasticity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Insights into flexoelectric solids from strain-gradient elasticity

Reference 38

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Observation 851f2e97-d0be-4654-a35b-cf499036b2a8 · outbound

This paper cites A theory of flexoelectricity with surface effect for elastic dielectrics.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates A theory of flexoelectricity with surface effect for elastic dielectrics

Reference 39

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source=pdf_text observed=2026-08-04T06:37:38.587644Z digest=sha256:f4fbcfd33efba2c5bfaf07028efc598e4e86f1a56c2f11166a67247aec377c7a

Observation 46bd347f-0b07-473e-8865-54cfa0cf48e7 · outbound

This paper cites Flexoelectric effect on the electroelastic responses of bending piezoelectric nanobeams.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Flexoelectric effect on the electroelastic responses of bending piezoelectric nanobeams

Reference 40

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source=pdf_text observed=2026-08-04T06:37:38.591193Z digest=sha256:3dfe3c94e9816db12244c33c82fc57b6e0d9b524f7914d01953b8f2202414a12

Observation fcbae1f6-3bed-40a3-bb11-fa5f7764958c · outbound

This paper cites Defects in flexoelectric solids.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Defects in flexoelectric solids

Reference 41

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source=pdf_text observed=2026-08-04T06:37:38.594587Z digest=sha256:29d28f50bc84fae8bf09feedb1c2839d5378e07ee450a44536bc600b353dc36c

Observation f2f0f580-df09-4283-bc46-b3db61de5b38 · outbound

This paper cites Asymmetric mechanical properties in ferroelectrics driven by flexo-deformation effect.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Asymmetric mechanical properties in ferroelectrics driven by flexo-deformation effect

Reference 42

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source=pdf_text observed=2026-08-04T06:37:38.597974Z digest=sha256:8c26daf427ff27085b63ec1108b2a2dec30654d1bc2c11cbab64f968801cc92c

Observation c5e5511b-adef-45ff-9931-922eb9508b37 · outbound

This paper cites Constructive and destructive interplay between piezoelectricity and flexoelectricity in flexural sensors and actuators.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Constructive and destructive interplay between piezoelectricity and flexoelectricity in flexural sensors and actuators

Reference 43

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source=pdf_text observed=2026-08-04T06:37:38.601304Z digest=sha256:ede399a3c8deb25f1b4f0541eb20911d40a822e1589008da524b5de473f0764c

Observation 6fbb2ba1-277e-4156-b0d1-a3978604b76f · outbound

This paper cites Inhomogeneous electron gas.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Inhomogeneous electron gas

Reference 44

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source=pdf_text observed=2026-08-04T06:37:38.604580Z digest=sha256:814fbae82b6b7d9bb59d59910d6317d519f8a44ac418a9e7b74c9d4721074ef2

Observation 2368081b-973b-41f8-8670-6bf3fd7cea1a · outbound

This paper cites Self-consistent equations including exchange and correlation effects.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Self-consistent equations including exchange and correlation effects

Reference 45

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no resolver link, observed 2026-08-04T06:37:38.608177Z

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source=pdf_text observed=2026-08-04T06:37:38.608177Z digest=sha256:e3223f00ef31a7322ff92e09a644bc265658c97fde76e693ccc32b723004b478

Observation 1b6bbbe9-4d30-4709-9f5c-60dc0e87ff5e · outbound

This paper cites Cyclic density functional theory: A route to the first principles simulation of bending in nanostructures.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Cyclic density functional theory: A route to the first principles simulation of bending in nanostructures

Reference 46

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source=pdf_text observed=2026-08-04T06:37:38.611537Z digest=sha256:e047c1469dc39ed9f2c5ffc82da39923a499250ca0a10902d36f4b4818ab4946

Observation a0c25de9-46f9-4641-a060-37169a823ff2 · outbound

This paper cites Symmetry-adapted real-space density functional theory for cylindrical geometries: Application to large group-iv nanotubes.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Symmetry-adapted real-space density functional theory for cylindrical geometries: Application to large group-iv nanotubes

Reference 47

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source=pdf_text observed=2026-08-04T06:37:38.614803Z digest=sha256:78357dc6d044a4b74d59e17739804939a56b569e01e8ab7fe04ceab849efc3ef

Observation 7c2e7ef3-e611-49d3-8e8b-df2cfe0264b9 · outbound

This paper cites Sparc: Accurate and efficient finite-difference formulation and parallel implementation of density functional theory: Isolated clusters.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Sparc: Accurate and efficient finite-difference formulation and parallel implementation of density functional theory: Isolated clusters

Reference 48

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no resolver link, observed 2026-08-04T06:37:38.618094Z

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source=pdf_text observed=2026-08-04T06:37:38.618094Z digest=sha256:76b6f6cb0138feb18c02e8b018444448c678839806f151f292e3bee0c891f57f

Observation 3d62c6c4-273f-45f4-b6cc-991355001d25 · outbound

This paper cites Sparc: Accurate and efficient finite-difference formulation and parallel implementation of density functional theory: Extended systems.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Sparc: Accurate and efficient finite-difference formulation and parallel implementation of density functional theory: Extended systems

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-04T06:37:38.621261Z

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source=pdf_text observed=2026-08-04T06:37:38.621261Z digest=sha256:273c95ae4a48deb40417ff33808d4e559744fb11724735d51fed854c6eabd464

Observation 4662ea4f-3068-4b06-8ce8-81e58e1ec790 · outbound

This paper cites Modeling direct and converse flexoelectricity in soft dielectric rods with application to the follower load.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Modeling direct and converse flexoelectricity in soft dielectric rods with application to the follower load

Reference 50

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source=pdf_text observed=2026-08-04T06:37:38.624547Z digest=sha256:b1092e34067793487b817e3d57db8fb4ab4f65c158bc44c6125523dc2c2ff048

Observation 9dfef958-3a1c-48df-9da6-e32df76c12e0 · outbound

This paper cites Giant flexoelectric effect through interfacial strain relaxation.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Giant flexoelectric effect through interfacial strain relaxation

Reference 51

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source=pdf_text observed=2026-08-04T06:37:38.627724Z digest=sha256:d6973eb75d3ab7e42f9658cf3cb2e84f9eb83c3cca28984051cdbfe7ecc612cb

Observation 867b5499-67c0-4ebb-b9f2-32b5df8a5e07 · outbound

This paper cites Piezoelectric thin-film superlattices without using piezo- electric materials.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Piezoelectric thin-film superlattices without using piezo- electric materials

Reference 52

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no resolver link, observed 2026-08-04T06:37:38.630942Z

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source=pdf_text observed=2026-08-04T06:37:38.630942Z digest=sha256:74dffe8923b14fa40083d3480d83e527ac833121e9b5e8f9f248d1a74aa8aa12

Observation c06790b0-07d4-482d-a87c-1e425d4851b9 · outbound

This paper cites Mechanical switching of ferroelectric domains beyond flexoelectricity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Mechanical switching of ferroelectric domains beyond flexoelectricity

Reference 53

Resolution
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source=pdf_text observed=2026-08-04T06:37:38.634331Z digest=sha256:341761e603cedd5251f5ded6d144a37efeb0cc68a4a1e92d81b67fa65c9dc212

Observation af6eba0a-2c8d-4f3a-a919-004c3992a95d · outbound

This paper cites Utilizing mechanical loads and flexoelectricity to induce and control complicated evolution of domain patterns in ferroelectric nanofilms.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Utilizing mechanical loads and flexoelectricity to induce and control complicated evolution of domain patterns in ferroelectric nanofilms

Reference 54

Resolution
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source=pdf_text observed=2026-08-04T06:37:38.637750Z digest=sha256:4fe0b69aa9e57dbd1c60da396d83bb056a0107993ab037943022957a79fd2885

Observation 79873bf9-427e-4a46-8fc0-2db3b571cc9b · outbound

This paper cites Analyzing flexoelectric polarization of suspended membrane by nonlinear bending theory of plate.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Analyzing flexoelectric polarization of suspended membrane by nonlinear bending theory of plate

Reference 55

Resolution
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source=pdf_text observed=2026-08-04T06:37:38.641014Z digest=sha256:202899f560c79d7369f9a62c4bd4db510902cb6c4b708550d1cd8e00de8e3236

Observation d1b50e48-1bf2-4c20-aba5-155aecece595 · outbound

This paper cites Mathematical and computational modeling of flexoelectricity.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Mathematical and computational modeling of flexoelectricity

Reference 56

Resolution
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source=pdf_text observed=2026-08-04T06:37:38.644200Z digest=sha256:de49cf0cdb7e3f3f9e8899de485007a14408970e149a4336838959fb3ea447d9

Observation d733567f-5d3f-4ec2-b04c-c5e06bf26f9a · outbound

This paper cites Continuum mechanics of solids.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Continuum mechanics of solids

Reference 57

Resolution
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source=pdf_text observed=2026-08-04T06:37:38.647464Z digest=sha256:1a804e5b7ab0114a60d43440d7d804179c621a04c46f1173461863c14c4d3d66

Observation 6bfb4064-85bc-44e5-a17e-fc6cc79c319c · outbound

This paper cites Stability and post-bifurcation of film-substrate systems.

Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Stability and post-bifurcation of film-substrate systems

Reference 58

Resolution
unresolved
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source=pdf_text observed=2026-08-04T06:37:38.650623Z digest=sha256:d071c372f4ff94787ce58b4af7f5cb9af595e066599ba8c30ead8484ab933eca

Pith citing papers

Observation dedc0301-b025-454c-b936-2345fe3d471f · inbound

Propagation of elastic waves in a flexomagnetic solid cites this paper.

Propagation of elastic waves in a flexomagnetic solid Generalization of Stoney's equation for flexoelectric thin films on elastic substrates

Reference 2004

Resolution
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source=pdf_text observed=2026-08-04T06:07:28.458940Z digest=sha256:bfe12e64895671e2996011dad7f2abf8fb9b9eee4d09367ad2eccb0de1b3a3f7