Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T06:37:38.650623Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T06:37:38.650623Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T06:07:28.458940Z
A source-named dated measurement, never combined with another source.
Source: cited_works
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1846d937-9d4c-4d07-8c68-9686ed2f4c45 · outbound
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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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Observation 46bd347f-0b07-473e-8865-54cfa0cf48e7 · outbound
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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Observation fcbae1f6-3bed-40a3-bb11-fa5f7764958c · outbound
Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Defects in flexoelectric solids
Reference 41
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Observation f2f0f580-df09-4283-bc46-b3db61de5b38 · outbound
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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Observation c5e5511b-adef-45ff-9931-922eb9508b37 · outbound
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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Observation 6fbb2ba1-277e-4156-b0d1-a3978604b76f · outbound
Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Inhomogeneous electron gas
Reference 44
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Observation 2368081b-973b-41f8-8670-6bf3fd7cea1a · outbound
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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Observation 1b6bbbe9-4d30-4709-9f5c-60dc0e87ff5e · outbound
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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Observation a0c25de9-46f9-4641-a060-37169a823ff2 · outbound
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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Observation 7c2e7ef3-e611-49d3-8e8b-df2cfe0264b9 · outbound
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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Observation 3d62c6c4-273f-45f4-b6cc-991355001d25 · outbound
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
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Observation 4662ea4f-3068-4b06-8ce8-81e58e1ec790 · outbound
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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Observation 9dfef958-3a1c-48df-9da6-e32df76c12e0 · outbound
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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Observation 867b5499-67c0-4ebb-b9f2-32b5df8a5e07 · outbound
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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Observation c06790b0-07d4-482d-a87c-1e425d4851b9 · outbound
Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Mechanical switching of ferroelectric domains beyond flexoelectricity
Reference 53
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Observation af6eba0a-2c8d-4f3a-a919-004c3992a95d · outbound
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
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Observation 79873bf9-427e-4a46-8fc0-2db3b571cc9b · outbound
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
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Observation d1b50e48-1bf2-4c20-aba5-155aecece595 · outbound
Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Mathematical and computational modeling of flexoelectricity
Reference 56
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Observation d733567f-5d3f-4ec2-b04c-c5e06bf26f9a · outbound
Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Continuum mechanics of solids
Reference 57
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Observation 6bfb4064-85bc-44e5-a17e-fc6cc79c319c · outbound
Generalization of Stoney's equation for flexoelectric thin films on elastic substrates Stability and post-bifurcation of film-substrate systems
Reference 58
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Observation dedc0301-b025-454c-b936-2345fe3d471f · inbound
Propagation of elastic waves in a flexomagnetic solid Generalization of Stoney's equation for flexoelectric thin films on elastic substrates
Reference 2004
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