Anti-plane Shear in Hyperelasticity (Q5050974)

scientific article; zbMATH DE number 7619868

Language	Label	Description	Also known as
English	Anti-plane Shear in Hyperelasticity	scientific article; zbMATH DE number 7619868

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instance of

scholarly article

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title

Anti-plane Shear in Hyperelasticity (English)

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Advances in Mechanics and Mathematics

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publication date

18 November 2022

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zbMATH Keywords

anti-plane shear deformation existence

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polyconvexity

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rank-one convexity

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tension-compression symmetry

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finite element method

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describes a project that uses

ABAQUS/Standard

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-90051-9_10

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cites work

On finite anti-plane shear for compressible elastic circular tube

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Nonlinear problems of elasticity

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Reformulation of strain invariants at incompressibility

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Convexity conditions and existence theorems in nonlinear elasticity

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Q4547361

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Q4039741

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Transverse deformations associated with rectilinear shear in elastic solids

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Rectilinear steady flow of simple fluids

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Analytical solutions to general anti-plane shear problems in finite elasticity

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Remarks on analytic solutions and ellipticity in anti-plane shear problems of nonlinear elasticity

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Generalized shear deformations for isotropic incompressible hyperelastic materials

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Q2726732

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Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics

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Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid

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Antiplane Shear Deformations for Homogeneous and Inhomogeneous Anisotropic Linearly Elastic Solids

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An exact solution for the three-phase piezoelectric cylinder model under antiplane shear and its applications to piezoelectric composites

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On finite anti-plane shear for imcompressible elastic materials

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A note on anti-plane shear for compressible materials in finite elastostatics

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Interpretation of adscititious inequalities through the effects pure shear stress produces upon an isotropic elastic solid

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A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes

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Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition

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The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity

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Geometry of logarithmic strain measures in solid mechanics

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The anti-plane shear problem in nonlinear elasticity revisited

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On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the \textit{not so simple} case of anti-plane shear

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D. Y. Gao: ``Analytical solutions to general anti-plane shear problems in finite elasticity''

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Q5809668

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Identifiers

zbMATH Open document ID

1505.74015

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DOI

10.1007/978-3-030-90051-9_10

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5050974