Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem

DOI10.1007/BF01401024zbMath0618.73034MaRDI QIDQ1089159

T. B. Griffin, Reddy, B. Daya

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133227

zbMATH Keywords

boundary-value problemholonomic elastic-plastic constitutive lawinequality of the second kindregularised problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

A family of predictor-corrector schemes for a class of variational inequalities, The obstacle problem for an elastoplastic body, A study of regularization techniques of nondifferentiable optimization in view of application to hemivariational inequalities, Algorithms for the solution of internal variable problems in plasticity, Mixed variational inequalities arising in elastoplasticity, An overlapping domain decomposition method for the simulation of elastoplastic incremental forming processes, Finite element analysis of a holonomic elastic-plastic problem

Cites Work

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• On an elastic-plastic problem
• Error estimates of finite element approximations for problems in linear elasticity. I: Problems in elastostatics
• Theory of variational inequalities with applications to problems of flow through porous media
• Analysis of some finite element methods for a class of problems in elasto-plasticity
• A numerical analysis of a class of contact problems with friction in elastostatics
• Complementary plastic work theorems in piecewise-linear elastoplasticity
• Extension to continua of some minimum theorems in elastoplastic theory
• Quadratic programming and theory of elastic-perfectly plastic structures
• On dual energy theorems for a class of elastic-plastic problems due to G. Maier
• Extremal paths and holonomic constitutive laws in elastoplasticity
• A numerical study of holonomic approximations to problems in plasticity