Minimization approach to limit solutions of plates

DOI10.1016/0045-7825(81)90001-3zbMath0466.73123OpenAlexW2141357525MaRDI QIDQ1155436

S. H. Smith

Publication date: 1981

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

Full work available at URL: http://hdl.handle.net/2027.42/24269

zbMATH Keywords

dual problem solved by minimization procedure for circular, triangular and square platesmaximization of lower bound formulationminimization of upper bound formulationthree types of boundary conditionstwo types of loadings

Mathematics Subject Classification ID

Plates (74K20) Anelastic fracture and damage (74R20) Optimization problems in solid mechanics (74P99)

Related Items (6)

A duality theorem for plastic plates ⋮ Investigation of rotating hollow cylinders of strain-hardening viscoplastic materials by sequential limit analysis ⋮ A variational principle and an algorithm for limit analysis of beams and plates ⋮ 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

• Extensions to the elastoplastic analysis with the Aska program system
• A practical method for limit torsion problems
• An approach to nonlinear programming
• Studies in collapse analysis of rigid-plastic plates with a square yield diagram
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