Uniform materials and the multiplicative decomposition of the deformation gradient in finite elasto-plasticity

DOI10.1515/JNETDY.2008.009zbMath1158.74009arXiv0801.0317MaRDI QIDQ1007061

Vincenzo Ciancio, Marina Dolfin, Mauro Francaviglia, S. Prishepionok

Publication date: 26 March 2009

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0317

zbMATH Keywords

strain tensorsinternal energyanisotropic yield criteriadissipative potential

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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Cites Work

• Remarks on uniformity in hyperelastic materials
• On the rotated stress tensor and the material version of the Doyle- Ericksen formula
• Geometric characterization of hyperelastic uniformity
• The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
• Geometrical material structure of elastoplasticity
• On the geometrical material structure of anelasticity
• Materially uniform simple bodies with inhomogeneities
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Another Look at the Evolution of Material Structures

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