More on anti-plane shear

DOI10.1007/s10957-018-1358-6zbMath1431.74026arXiv1803.00265OpenAlexW2885361378MaRDI QIDQ2302738

Patrizio Neff, Robert J. Martin, Jendrik Voss, Herbert Baaser

Publication date: 26 February 2020

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00265

zbMATH Keywords

convexityellipticityconstitutive lawconstitutive inequalitiesanti-plane shear deformationsempirical inequalitiesisotropic nonlinear elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stress (74A10) Theory of constitutive functions in solid mechanics (74A20) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics ⋮ Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture ⋮ A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear ⋮ Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model ⋮ A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations ⋮ Broadening Global Families of Anti-Plane Shear Equilibria ⋮ Global bifurcation of anti-plane shear fronts

Uses Software

• ABAQUS/Standard

Cites Work

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