Variational principles for incremental finite element methods

DOI10.1016/0016-0032(76)90037-5zbMath0356.73060OpenAlexW2008566246MaRDI QIDQ1237608

Theodore Hsueh-huang Pian

Publication date: 1976

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(76)90037-5

Mathematics Subject Classification ID

Related Items (8)

A hybrid mimetic spectral element method for three-dimensional linear elasticity problems ⋮ Discontinuous Galerkin method based on peridynamic theory for linear elasticity ⋮ On some new variational formulations and finite element models in classical elastoplasticity ⋮ Finite element analysis of two-dimensional shear flexible frame structures: Nonlinear analysis ⋮ The incremental hybrid natural element method for elastoplasticity problems ⋮ Space–time discontinuous Galerkin method for dynamics of solids ⋮ A 12‐node hybrid stress brick element for beam/column analysis ⋮ On the convergence of the semi-discrete incremental method in nonlinear, three-dimensional elasticity

Cites Work

• Incremental variational principles and finite element models for nonlinear problems
• A variational principle and the convergence of a finite-element method based on assumed stress distribution
• On the hybrid stress finite element model for incremental analysis of large deflection problems
• Large deflection analysis of thin elastic structures by the assumed stress hybrid finite element method
• Basis of finite element methods for solid continua
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