A physically nonlinear dual mixed finite element formulation

DOI10.1016/S0045-7825(96)01169-3zbMath0892.73071MaRDI QIDQ1370738

Erwin Stein, Jörg Schröder, Ottmar Klaas, Christian Miehe

Publication date: 26 October 1997

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

zbMATH Keywords

Euler-Lagrange equationslinearizationplane stresssmall strainsNewton procedureextended Prange-Hellinger-Reissner functionalvon Mises plasticity with linear hardening

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (4)

Derivation of a dual-mixed \(hp\)-finite element model for axisymmetrically loaded cylindrical shells ⋮ A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity ⋮ A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity ⋮ A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity

Cites Work

• Unnamed Item
• Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity
• Two families of mixed finite elements for second order elliptic problems
• A family of mixed finite elements for the elasticity problem
• Complementary mixed finite element formulations for elastoplasticity
• A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element
• Error indicators for mixed finite elements in 2-dimensional linear elasticity
• Rational approach for assumed stress finite elements

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