Variational Principles for Rate Boundary-Value Problems in Non-Associated Plasticity

DOI10.1002/ZAMM.19800600203zbMath0454.73024OpenAlexW2164756914MaRDI QIDQ3902610

Józef Joachim Telega

Publication date: 1980

Published in: ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19800600203

zbMATH Keywords

non-associated flow rulesofteningvirtual workwork hardeningcounterparts of variational principles of Hu-Washizu and Hellinger-Reissner can be derivedcoupling between elastic and plastic deformationmethod of adding the adjoint operatorprinciples of stationary value of potential energyprinciples of virtual velocitiesrate boundary-value problems of nonassociated plasticitystationary value of complementary energytwo reciprocal theoremsvirtual changes of rate of stresses

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Variational principles of physics (49S05)

Related Items (5)

A quasi-extremal energy principle for non-potential problems in rate-independent plasticity ⋮ Variational formulations in the non-associated flow theory of plasticity ⋮ A variational principle of elastoplasticity and its application to the modeling of frictional materials ⋮ Dual extremum principles in rate boundary value problems of non- associated plasticity ⋮ Derivation of variational principles for rigid-plastic solids obeying non-associated flow laws. I. Further development of the nonlinear method of adding the adjoint operator, prescribed jumps

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Derivation of variational principles for rigid-plastic solids obeying non-associated flow laws. II. Unprescribed jumps
• Dual extremum principles for the heat equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variational Principles for Rate Boundary-Value Problems in Non-Associated Plasticity