A duality theorem for plastic plates

DOI10.1007/BF01175720zbMath0628.73038MaRDI QIDQ1093405

B. George

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorfinite element methodapproximate solutionsduality theoremcircular platesleast upper boundExact solutionsclampedelastic-plastic materialssimply supported boundariesgreatest lower bounduniform loadfamily of beta normsrapid mesh convergence property

Mathematics Subject Classification ID

Plates (74K20) Anelastic fracture and damage (74R20) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items

Investigation of rotating hollow cylinders of strain-hardening viscoplastic materials by sequential limit analysis ⋮ Multi‐Duality in Minimal Surface—Type Problems ⋮ Existence theorems for discontinuous solutions in optimization problems ⋮ Serrin integrals and second order problems of plasticity ⋮ A finite element formulation of Mindlin plates for limit analysis ⋮ Analytical and numerical investigation of strain-hardening viscoplastic thick-walled cylinders under internal pressure by using sequential limit analysis

Cites Work

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• Functions with generalized gradient and generalized surfaces
• Minimization approach to limit solutions of plates
• Studies in collapse analysis of rigid-plastic plates with a square yield diagram
• A quadratically convergent method for minimizing a sum of euclidean norms
• A Generalized von Mises Criterion for Yield and Fracture
• Computations in limit analysis for plastic plates
• Variational inequalities