On a mixed approach to the finite element solution of large strain elastoplastic problems

DOI10.1108/02644409810200749zbMath0967.74600OpenAlexW2023219760MaRDI QIDQ4241317

Tomaž Rojc

Publication date: 20 July 1999

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409810200749

zbMATH Keywords

Jacobianlinearizationdeformation gradientNewton-Raphson methodstress tensorbilinear isoparametric interpolationnonlinear extended mixed variational equation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Cites Work

• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• A discussion of stress rates in finite deformation problems
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. II: Computational aspects
• On the implementation of inelastic constitutive equations with special reference to large deformation problems
• A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
• On numerically accurate finite element solutions in the fully plastic range
• Generalization of selective integration procedures to anisotropic and nonlinear media
• Some computational aspects of elastic-plastic large strain analysis
• Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
• A family of integration algorithms for constitutive equations in finite deformation elasto-viscoplasticity

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