Phase changes induced by deformation in isothermal elastic crystals
From MaRDI portal
Publication:1823064
DOI10.1016/0022-5096(89)90001-XzbMath0679.73060MaRDI QIDQ1823064
Publication date: 1989
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
twinningequilibrium configurationsmartensitic transformationmultiple local minimaequilibrium boundary value problemsfinite-difference computer programMetastable phasespermanent elastic deformationsrelative stability of the phasesstrain energy density functions
Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Thermodynamics in solid mechanics (74A15)
Related Items
Analysis of partly wrinkled membranes by the method of dynamic relaxation, On dissipation induced by phase transformations, Equilibrium analysis of finitely deformed elastic networks, Nonconvex energy minimization and dislocation structures in ductile single crystals, Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case, Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain, Numerical analysis of oscillations in nonconvex problems, On the driving traction acting on a surface of strain discontinuity in a continuum, Kinetic relations and the propagation of phase boundaries in solids, On the modeling of thermo-mechanical phase transformations in solids, On the dissipation due to wave ringing in nonelliptic elastic materials, On the dynamics of fine structure
Uses Software
Cites Work
- Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example
- Two-phase deformations of elastic solids
- Finite deformation by mechanical twinning
- Quasiconvexity at the boundary, positivity of the second variation and elastic stability
- Displacive phase transformations in solids
- Stable equilibrium configurations of elastic crystals
- Non-elliptic elastic materials and the modelling of elastic-plastic behavior for finite deformation
- Variational methods for elastic crystals
- 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 failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
- On stability and uniqueness in finite elasticity
- Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example
- On the symmetry of deformable crystals
- On phase transitions involving internal strain
- Discontinuous deformation gradients away from the tip of a crack in anti- plane shear
- Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics
- On the ellipticity of the equations of nonlinear elastostatics for a special material
- Equilibrium of bars
- On the failure of ellipticity of the equations for finite elastostatic plane strain
- Convexity conditions and existence theorems in nonlinear elasticity
- On diatomic crystals
- On the dissipation associated with equilibrium shocks in finite elasticity
- Phases of elastic materials
- Strict convexity, strong ellipticity, and regularity in the calculus of variations