Anti-plane Shear in Hyperelasticity
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Publication:5050974
DOI10.1007/978-3-030-90051-9_10zbMath1505.74015OpenAlexW4210831390MaRDI QIDQ5050974
Jendrik Voss, Patrizio Neff, Robert J. Martin, Herbert Baaser
Publication date: 18 November 2022
Published in: Advances in Mechanics and Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-90051-9_10
finite element methodpolyconvexityrank-one convexityanti-plane shear deformation existencetension-compression symmetry
Uses Software
Cites Work
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- Analytical solutions to general anti-plane shear problems in finite elasticity
- Geometry of logarithmic strain measures in solid mechanics
- The anti-plane shear problem in nonlinear elasticity revisited
- Reformulation of strain invariants at incompressibility
- On finite anti-plane shear for compressible elastic circular tube
- The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity
- Interpretation of adscititious inequalities through the effects pure shear stress produces upon an isotropic elastic solid
- Convexity conditions and existence theorems in nonlinear elasticity
- Transverse deformations associated with rectilinear shear in elastic solids
- A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
- On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the \textit{not so simple} case of anti-plane shear
- Remarks on analytic solutions and ellipticity in anti-plane shear problems of nonlinear elasticity
- Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid
- Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition
- D. Y. Gao: ``Analytical solutions to general anti-plane shear problems in finite elasticity
- A note on anti-plane shear for compressible materials in finite elastostatics
- On finite anti-plane shear for imcompressible elastic materials
- Generalized shear deformations for isotropic incompressible hyperelastic materials
- Antiplane Shear Deformations for Homogeneous and Inhomogeneous Anisotropic Linearly Elastic Solids
- Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
- Rectilinear steady flow of simple fluids
- Nonlinear problems of elasticity
- An exact solution for the three-phase piezoelectric cylinder model under antiplane shear and its applications to piezoelectric composites
