A convergent adaptive finite element method for the primal problem of elastoplasticity

DOI10.1002/nme.1686zbMath1127.74040OpenAlexW2098249658MaRDI QIDQ5435320

Antonio Orlando, Carsten Carstensen, Jan Valdman

Publication date: 14 January 2008

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://edoc.hu-berlin.de/18452/3220

zbMATH Keywords

variational inequalitylinear kinematic hardeningmultisurface plasticity

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (10)

An optimal adaptive mixed finite element method ⋮ Variational theory and computations in stochastic plasticity ⋮ An optimal adaptive finite element method for elastoplasticity ⋮ Implicit a posteriori error estimation using patch recovery techniques ⋮ Locking-free compressible quadrilateral finite elements: Poisson's ratio-dependent vector interpolants ⋮ A duality-based path-following semismooth Newton method for elasto-plastic contact problems ⋮ Numerical solution of the two-yield elastoplastic minimization problem ⋮ Error estimates in elastoplasticity using a mixed method ⋮ Convergence of adaptive finite element methods in computational mechanics ⋮ Functional a posteriori error estimates for incremental models in elasto-plasticity

Cites Work

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• Plasticity. Mathematical theory and numerical analysis
• Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces
• Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
• The Thermomechanics of Plasticity and Fracture
• Numerical Optimization

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