Incremental variational principles and finite element models for nonlinear problems

DOI10.1016/0045-7825(76)90013-XzbMath0323.73060OpenAlexW2090134688MaRDI QIDQ1224453

G. Horrigmoe, Pål G. Bergan

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0045-7825(76)90013-x

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Variational principles of physics (49S05)

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Cites Work

• Derivation of geometric stiffness and mass matrices for finite element hybrid models
• Large natural strains and some special difficulties due to non-linearity and incompressibility in finite elements
• The convergence of finite element method in solving linear elastic problems
• A variational principle and the convergence of a finite-element method based on assumed stress distribution
• A new variational principle for finite elastic displacements
• On the hybrid stress finite element model for incremental analysis of large deflection problems
• Elastic Potentials and the Structure of Inelastic Constitutive Laws
• On the Principle of Stationary Complementary Energy in the Nonlinear Theory of Elasticity
• Basis of finite element methods for solid continua
• Zur Berechnung von Platten nach der Theorie II. Ordnung mit Hilfe eines hybriden Deformationsmodells
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