A variational principle and an algorithm for limit analysis of beams and plates

DOI10.1016/0045-7825(82)90123-2zbMath0478.73022OpenAlexW2101869559MaRDI QIDQ1161327

S. Singh

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/23884

zbMATH Keywords

pair of maximization and minimization problemsyield function based on Frobenius matrix norm

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Anelastic fracture and damage (74R20) Existence of solutions for minimax problems (49J35) Duality theory (optimization) (49N15) Variational principles of physics (49S05)

Related Items (4)

Investigation of rotating hollow cylinders of strain-hardening viscoplastic materials by sequential limit analysis ⋮ Existence theorems for discontinuous solutions in optimization problems ⋮ Serrin integrals and second order problems of plasticity ⋮ 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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• On discrete Dirichlet and Plateau problems
• Minimization approach to limit solutions of plates
• Studies in collapse analysis of rigid-plastic plates with a square yield diagram
• Pipe Flow of Plastic Materials
• Numerical Solution of Plateau's Problem by a Finite Element Method
• Variational inequalities
• Numerical Solution of the Minimal Surface Equation

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