Elastoplastic materials with martensitic phase transition and twinning at finite strains: Numerical solution with the finite element method

DOI10.1016/S0045-7825(98)00258-8zbMath0961.74060OpenAlexW2081243941MaRDI QIDQ1971283

Alexander V. Idesman, Erwin Stein, Valerij I. Levitas

Publication date: 1 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00258-8

zbMATH Keywords

twinningiterative algorithmlarge strainsfinite element algorithmmartensitic phase transitionelastoplastic materialsradial return algorithmappearance of single martensitic plate and single twinconsistent elastoplastic modulinucleation at shear-band intersectionquasistatic formulationthermomechanical approach

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) Crystals in solids (74N05)

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Cites Work

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• Nonequilibrium thermodynamics of pseudoelasticity
• Consistent tangent operators for rate-independent elastoplasticity
• Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• Computational inelasticity
• Finite element simulation of martensitic phase transitions in elastoplastic materials
• Thermomechanical theory of martensitic phase transformations in inelastic materials
• Error indicators and mesh refinements for finite element computations of elastoplastic deformations
• The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. II
• Finite element procedure for solving contact thermoelastoplastic problems at large strains, normal and high pressures.
• Proposed experimental tests of a theory of fine microstructure and the two-well problem

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