The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I

DOI10.1016/0020-7225(94)00117-3zbMath0899.73132OpenAlexW2029073379MaRDI QIDQ1385618

Valerij I. Levitas

Publication date: 13 October 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(94)00117-3

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (10)

Quasistatic delamination problem ⋮ Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi ⋮ Quasistatic delamination of sandwich-like Kirchhoff-Love plates ⋮ The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. II ⋮ Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model ⋮ Anisotropic compositional expansion in elastoplastic materials and corresponding chemical potential: Large-strain formulation and application to amorphous lithiated silicon ⋮ Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions ⋮ Micromechanical modeling of stress-induced phase transformations. I: Thermodynamics and kinetics of coupled interface propagation and reorientation ⋮ Numerical approaches to rate-independent processes and applications in inelasticity ⋮ Quasistatic delamination models for Kirchhoff-Love plates

Cites Work

• Nonequilibrium thermodynamics of pseudoelasticity
• A general theory of uniqueness and stability in elastic-plastic solids
• Plastic bifurcation and postbifurcation analysis for generalized standard continua
• On discretized plasticity problems with bifurcations
• Continuum mechanical aspects of phase transformations in solids
• Imperfection-sensitivity in the plastic range
• Post-bifurcation behavior in the plastic range
• Elastic-Plastic Deformation at Finite Strains
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