Continuously dislocated elastic bodies with a neo-Hookean like energy subjected to anti-plane shear

DOI10.1007/S10659-008-9176-YzbMath1159.74326OpenAlexW2019056993MaRDI QIDQ1013579

Dimitris Sfyris, Nicolas Ch. Charalambakis, Vassilios K. Kalpakides

Publication date: 20 April 2009

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-008-9176-y

zbMATH Keywords

inhomogeneous bodiesanti-pane shearmaterially uniform

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Kinematics of deformation (74A05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (7)

A proposal for defining continuous distribution of dislocations for objective structures ⋮ Aspects of the phenomenological theory of elastic-plastic deformation ⋮ Propagation of a plane wave to a materially uniform but inhomogeneous body ⋮ The role of the symmetry group in the non-uniqueness of a uniform reference. Case study: An isotropic solid body ⋮ Comparing the condition of strong ellipticity and the solvability for a purely elastic problem and the corresponding dislocated problem ⋮ Autoparallel curves and Riemannian geodesics for materially uniform but inhomogeneous bodies ⋮ A finite element formulation for stressed bodies with continuous distribution of edge dislocations

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