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Paper Citation Record · LEDGER
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity
As of 20 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2411.12552.
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Observation 3f6e2906-731b-4566-b202-e3fe71b06fa8 · outbound
This paper cites Inequalities restricting the form of the stress-deformation relation for isotropic elastic solids and Reiner-Rivlin fluids.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Inequalities restricting the form of the stress-deformation relation for isotropic elastic solids and Reiner-Rivlin fluids
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This paper cites On the general theory of elastic stability.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity On the general theory of elastic stability
Reference 2
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This paper cites Constitutive inequalities for an isotropic elastic strain energy function based on Hencky’s logarithmic strain tensor.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Constitutive inequalities for an isotropic elastic strain energy function based on Hencky’s logarithmic strain tensor
Reference 3
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Observation 99fb72c6-3ff0-4292-b79f-05c1d585f6f8 · outbound
This paper cites Shear, pure and simple.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Shear, pure and simple
Reference 4
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This paper cites A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain
Reference 5
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This paper cites Nonlinear elasticity.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Nonlinear elasticity
Reference 6
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This paper cites Some implications of work hardening and ideal plasticity.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Some implications of work hardening and ideal plasticity
Reference 7
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Observation 220d9130-b8d4-4ae0-9897-13f44e34b45f · outbound
This paper cites A more fundamental approach to plastic stress-strain relations.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A more fundamental approach to plastic stress-strain relations
Reference 8
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This paper cites Deformations possible in every compressible, isotropic, perfectly elastic material.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Deformations possible in every compressible, isotropic, perfectly elastic material
Reference 9
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This paper cites Major symmetry of the induced tangent stiffness tensor for the Zaremba-Jaumann rate and Kirchhoff stress in hyperelasticity: two different approaches.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Major symmetry of the induced tangent stiffness tensor for the Zaremba-Jaumann rate and Kirchhoff stress in hyperelasticity: two different approaches
Reference 10
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Unresolved cited work
Reference 11
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Observation e0bc6696-e85c-4e34-9948-c674b61d9f92 · outbound
This paper cites An ellipticity domain for the distortional Hencky logarithmic strain energy.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity An ellipticity domain for the distortional Hencky logarithmic strain energy
Reference 12
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Observation daf6231a-d2a9-42bf-a345-a85e1f4d3220 · outbound
This paper cites On uniqueness and stability in the theory of finite elastic strain.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity On uniqueness and stability in the theory of finite elastic strain
Reference 13
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This paper cites A general theory of uniqueness and stability in elastic-plastic solids.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A general theory of uniqueness and stability in elastic-plastic solids
Reference 14
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Observation b946ea8b-b251-464b-b68b-843e8c098d16 · outbound
This paper cites Some basic principles in the mechanics of solids without a natural time.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Some basic principles in the mechanics of solids without a natural time
Reference 15
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This paper cites On constitutive inequalities for simple materials - I.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity On constitutive inequalities for simple materials - I
Reference 16
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This paper cites Constitutive inequalities for isotropic elastic solids under finite strain.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Constitutive inequalities for isotropic elastic solids under finite strain
Reference 17
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This paper cites Sur l’extension de la condition de Legendre du calcul des variations aux int´ egrales multiples a plusieurs fonctions inconnues.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Sur l’extension de la condition de Legendre du calcul des variations aux int´ egrales multiples a plusieurs fonctions inconnues
Reference 18
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This paper cites Conditions for the onset of elastic and material instabilities in hyperelastic materials.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Conditions for the onset of elastic and material instabilities in hyperelastic materials
Reference 19
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This paper cites Families of Hooke-like isotropic hyperelastic material models and their rate formulations.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Families of Hooke-like isotropic hyperelastic material models and their rate formulations
Reference 20
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This paper cites The minimization of matrix logarithms: On a fundamental property of the unitary polar factor.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity The minimization of matrix logarithms: On a fundamental property of the unitary polar factor
Reference 21
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This paper cites A constitutive inequality for hyperelastic materials in finite strain.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A constitutive inequality for hyperelastic materials in finite strain
Reference 22
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This paper cites Conditions de stabilit´ e et postulat de Drucker.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Conditions de stabilit´ e et postulat de Drucker
Reference 23
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Unresolved cited work
Reference 24
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Observation fe8c68ef-c407-4e11-8406-f5a9a47a2681 · outbound
This paper cites The corotational stability postulate is equivalent to the true stress-true strain monotonicity condition.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity The corotational stability postulate is equivalent to the true stress-true strain monotonicity condition
Reference 25
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Observation 61e60426-3425-425e-9568-998e7adeefea · outbound
This paper cites Monotonicity of isotropic tensor functions on the set of symmetric matrices: Hill’s generalization of the Davis-Lewis convexity theorem revised.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Monotonicity of isotropic tensor functions on the set of symmetric matrices: Hill’s generalization of the Davis-Lewis convexity theorem revised
Reference 26
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This paper cites A non-ellipticity result, or the impossible taming of the logarithmic strain measure.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A non-ellipticity result, or the impossible taming of the logarithmic strain measure
Reference 27
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This paper cites How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity
Reference 28
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This paper cites A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
Reference 29
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Observation cd17d33f-0e17-45d0-9b11-fa86c93f4748 · outbound
This paper cites Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
Reference 30
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Observation 4c2f5366-9cfd-4a76-8a33-42dbd9570e34 · outbound
This paper cites A natural requirement for objective corotational rates -- on structure preserving corotational rates.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A natural requirement for objective corotational rates -- on structure preserving corotational rates
Reference 31
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Observation 713a16a9-b5a0-49e7-b367-fbdb3892aee5 · outbound
This paper cites An essay on constitutive stability in idealized isotropic nonlinear elasticity for universal deformations, positive incremental moduli and the onset of necking.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity An essay on constitutive stability in idealized isotropic nonlinear elasticity for universal deformations, positive incremental moduli and the onset of necking
Reference 32
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Observation c71dd0c7-cd40-40b9-883b-590c93300cd1 · outbound
This paper cites The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
Reference 33
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Observation 27fe23cf-5f04-4846-982d-b9e6e3d8c693 · outbound
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Geometry of logarithmic strain measures in solid mechanics
Reference 34
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Observation c3670edd-2061-4ed2-9221-9b7df4eac721 · outbound
This paper cites The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
Reference 35
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Observation 15d88617-5b49-4c1b-b2d8-2963ee56d321 · outbound
This paper cites The exponentiated Hencky-logarithmic strain energy. Part II: coercivity, planar polyconvexity and existence of minimizers.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity The exponentiated Hencky-logarithmic strain energy. Part II: coercivity, planar polyconvexity and existence of minimizers
Reference 36
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Observation 85ee0f51-fd1f-467c-8095-46b32b8a5b12 · outbound
This paper cites On Grioli’s minimum property and its relation to Cauchy’s polar decomposition.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity On Grioli’s minimum property and its relation to Cauchy’s polar decomposition
Reference 37
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms
Reference 38
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity On the second-order work in plasticity
Reference 39
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This paper cites Das isotrope Elastizit¨ atsgesetz.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Das isotrope Elastizit¨ atsgesetz
Reference 40
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This paper cites Verzerrungstensor, Verzerrungsdeviator und Spannungstensor bei endlichen Form¨ anderungen.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Verzerrungstensor, Verzerrungsdeviator und Spannungstensor bei endlichen Form¨ anderungen
Reference 41
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Constitutive modeling of brain tissue: current perspective
Reference 42
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity The incremental bulk modulus, Young’s modulus and Poisson’s ratio in nonlinear isotropic elasticity: physically reasonable response
Reference 43
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This paper cites Sur les restrictions ` a imposer ` a l’´ energie de d´ eformation d’un mat´ eriau hyper´ elastique.
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Sur les restrictions ` a imposer ` a l’´ energie de d´ eformation d’un mat´ eriau hyper´ elastique
Reference 44
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity Universal Deformations and Inhomogeneities in Isotropic Cauchy Elasticity
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