Extremal paths of plastic work and deformation

DOI10.1016/0022-5096(86)90015-3zbMath0589.73043OpenAlexW2014463200MaRDI QIDQ1074375

Rodney Hill

Publication date: 1986

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(86)90015-3

zbMATH Keywords

minimum principleconvex yield surfaceclass of functionals of the strain historyclassically rigid/plastic, isotropicextremal deformation theoremextremal work theoremhomogeneous states of finite strainkinematic datanonhardeningOptimal paths of deformationparametric representations of the competing pathsPlane isochoric deformations

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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Cites Work

• Stability of rigid-plastic solids
• Aspects of Invariance in Solid Mechanics
• Theoretical plasticity of textured aggregates