Dual extremum principles in finite deformation elastoplastic analysis

DOI10.1007/BF00047073zbMath0732.73026OpenAlexW2094614658MaRDI QIDQ808761

Gilbert Strang, Yang Gao

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047073

zbMATH Keywords

upper and lower boundsconvex analysisgap functioncomplementary-dual extremum principlesconjugate functionalcriteria for existence and uniqueness of solutionsnonlinear limit analysisnonlinear variational boundary-value problemspair of dual bounding theorems for the safety factortotal complementary energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anelastic fracture and damage (74R20) 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) Duality theory (optimization) (49N15) Variational principles of physics (49S05)

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Cites Work

• Dual spaces of stresses and strains, with applications to Hencky plasticity
• Nearly circular shear mode cracks
• Functions of bounded deformation
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Panpenalty finite element programming for plastic limit analysis
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