Indeterminacy of first order stress functions and the stress- and rotation-based formulation of linear elasticity

DOI10.1007/BF00370076zbMath0809.73018OpenAlexW50705602MaRDI QIDQ1338241

E. Bertóti

Publication date: 4 April 1995

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00370076

zbMATH Keywords

Euler equationsnonsymmetric tensorFraeijs de Veubeke's complementary energy- based mixed variational principlelinear three-dimensional translational equilibrium equations

Mathematics Subject Classification ID

Related Items (6)

Dual-mixed hp finite element model for elastic cylindrical shells ⋮ On the stress function approach in three-dimensional elasticity ⋮ Derivation of a dual-mixed \(hp\)-finite element model for axisymmetrically loaded cylindrical shells ⋮ Dual‐mixed p and hp finite elements for elastic membrane problems ⋮ Curvature- and displacement-based finite element analyses of flexible slider crank mechanisms ⋮ Curvature- and displacement-based finite element analyses of flexible four-bar mechanisms

Cites Work

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• Finite element analysis of plane couple-stress problems using first order stress functions
• A note on variational theorems in non-linear elastostatics
• Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle
• Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle—Part 2: Incompressible Materials
• Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors

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