Spatial patterns and size effects in shear zones: A hyperelastic model with higher-order gradients

DOI10.1016/0022-5096(93)90021-7zbMath0783.73017OpenAlexW1997212529MaRDI QIDQ1261032

Yves M. Leroy, Alain Molinari

Publication date: 29 August 1993

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(93)90021-7

zbMATH Keywords

energy densitybifurcation analysismicro-structural effectsonset of localizationloss of uniqueness

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Micromechanics of solids (74M25) Micromechanical theories (74A60)

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Uses Software

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Cites Work

• A general theory of uniqueness and stability in elastic-plastic solids
• On the nonlocal aspects of the propagation of Love waves
• A gradient approach to localization of deformation. I. Hyperelastic materials
• Onset of shear localization in viscoplastic solids
• Acceleration waves in solids
• The emergence of shear bands in plane strain
• Thermoplastic instability in simple shear
• The time development of Eulerian/Lagrangian perturbations to simple shear and its applications to shear banding
• Bifurcation phenomena in the plane tension test
• Analytical Characterization of Shear Localization in Thermoviscoplastic Materials
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