Rate variational extremum principles for finite elastoplasticity

DOI10.1007/BF02017481zbMath0752.73027OpenAlexW2093066706MaRDI QIDQ1191549

E. T. Onat, Yang Gao

Publication date: 27 September 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02017481

zbMATH Keywords

convexitygap functionupdated lagrangian rate formsupdated Lagrangian rate forms

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Optimization of other properties in solid mechanics (74P10)

Related Items (5)

Stability and extremum principles for post yield analysis of finite plasticity ⋮ A hybrid-mixed finite element formulation for the geometrically exact analysis of three-dimensional framed structures ⋮ Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization ⋮ Global extremum criteria for finite elasticity ⋮ Generalized theory of nonlinear and unsteady mechanics and applications to particle physics

Cites Work

• Inverse variational principle in finite elasticity
• On configuration-dependent loading
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Aspects of Invariance in Solid Mechanics
• On local stability of a finitely deformed solid subjected to follower type loads

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