Extended bounding theorems of limit analysis

DOI10.1007/BF01874669zbMath0525.73040OpenAlexW1996349154MaRDI QIDQ593831

Yang Gao

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01874669

zbMATH Keywords

complete solutiongeneralized variational principlebroader stress and velocity fieldclose approximationconditions of rigid- plastic interfacediscontinuity of plastic flowdiscontinuous surface of velocity fieldextended bounding theoremsrelationship between variational solution and complete solutionrigid-perfectly plastic mediumsafety factors lie between upper and lower bounds obtained by classical bounding theoremssame kinematically and statically admissible field

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Variational principles of physics (49S05)

Related Items (1)

Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality

Cites Work

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• The explicit forms of field functions in tetrahedron elements with 16 and 20 degrees of freedom
• Extended limit design theorems for continuous media

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