Stress-induced phase transformations in elastic solids under anti-plane deformations: Dissipative constitutive models and numerical simulation
DOI10.1016/0045-7825(96)01016-XzbMath0892.73003OpenAlexW1970939402WikidataQ126586945 ScholiaQ126586945MaRDI QIDQ1371919
Juan C. Simo, Edgar Nobuo Mamiya
Publication date: 13 November 1997
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(96)01016-x
return mapping algorithminequality constraintsstress continuitydendritic formationsgeneralized neo-Hookean elastic materialkinetics of phase transformation
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22)
Cites Work
- Unnamed Item
- Two-phase deformations of elastic solids
- On the driving traction acting on a surface of strain discontinuity in a continuum
- Consistent tangent operators for rate-independent elastoplasticity
- Fine phase mixtures as minimizers of energy
- Numerical studies of loss of ellipticity near singularities in an elastic material
- Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid
- On the dissipative response due to discontinuous strains in bars of unstable elastic material
- On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
- Co-existent phases in the one-dimensional static theory of elastic bars
- Screw dislocation in a nonlinear elastic continuum
- The elastic energy-momentum tensor
- Equilibrium of bars
- On the dissipation associated with equilibrium shocks in finite elasticity
- Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
- Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
- Fluid Dynamics / Strömungsmechanik
- A return mapping algorithm for plane stress elastoplasticity
- On the Variational Foundations of Assumed Strain Methods
- On the propagation of maximally dissipative phase boundaries in solids
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- Stability and Convergence of a Class of Enhanced Strain Methods
- A class of mixed assumed strain methods and the method of incompatible modes
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