Convergence of an equilibrium finite element model for plane elastostatics

DOI10.21136/am.1979.103826zbMath0441.73101OpenAlexW2608594390MaRDI QIDQ3883713

Ivan Hlaváček

Publication date: 1979

Full work available at URL: https://eudml.org/doc/15121

zbMATH Keywords

convergenceequilibriumplane elastostaticsprinciple of minimum complementary energyweak version of Castigliano principle

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for second-order elliptic equations (35J20) Variational principles of physics (49S05)

Related Items (6)

Shape optimization in two-dimensional elasticity by the dual finite element method ⋮ Divergence-free finite element spaces for stress tensors ⋮ Unnamed Item ⋮ Contact between elastic bodies. III. Dual finite element analysis ⋮ Parameters identification and optimal control in pharmacokinetics ⋮ Dual finite element analysis for some elliptic variational equations and inequalities

Cites Work

• Some equilibrium finite element methods for two-dimensional elasticity problems
• An equilibrium stress field model for finite element solutions of two- dimensional elastostatic problems
• Variational principles in the linear theory of elasticity for general boundary conditions
• Dual analysis for heat conduction problems by finite elements
• Unnamed Item
• Unnamed Item

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