Thermo-elastic aspects of dynamic nucleation
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Publication:1612659
DOI10.1016/S0022-5096(01)00127-2zbMath1022.74034MaRDI QIDQ1612659
Shing-Chung Ngan, L. M. Truskinovskij
Publication date: 25 August 2002
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
perturbationregularizationnon-uniquenessmetastable statemartensitic phase transformationgradient elasticityhomogeneous nucleationnon-convex energy functionadiabatic thermoelasticitycubic stress-strain relationdegenerate Riemann problemone-dimensional thermo-elastic barthermo-visco-capillary model
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Cites Work
- Unnamed Item
- Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
- The propagation of phase boundaries in elastic bars
- The Riemann problem for a class of conservation laws of mixed type
- Dynamic phase transitions in a van der Waals fluid
- Equilibrium of bars
- Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity
- The dynamics of solid-solid phase transitions. I: Coherent interfaces
- Transition to detonation in dynamic phase changes
- On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
- Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction
- About the ``normal growth approximation in the dynamical theory of phase transitions
- Viscosity and strain gradient effects on the kinetics of propagating phase boundaries in solids
- Kinetic stabilization of a nonlinear sonic phase boundary
- Dynamic factor in impact, phase transition and fracture
- Unstable kinetic relations and the dynamics of solid-solid phase transitions
- Dynamics of phase transitions and hysteresis in a viscoelastic Ericksen's bar on an elastic foundation
- Rate-independent hysteresis in a bi-stable chain.
- Linear elastic chain with a hyper-pre-stress.
- Kinetic relations and the propagation of phase boundaries in solids
- Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions
- Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type
- Dynamics of non-equilibrium phase boundaries in a heat conducting nonlinearly elastic medium
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- Oscillation waves in Riemann problems inside elliptic regions for conservation laws of mixed type
- Thermal trapping and kinetics of martensitic phase boundaries
- Stability of subsonic planar phase boundaries in a van der Waals fluid
- Pulse attenuation by kinetically active phase boundary scattering during displacive phase transformations.
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
- The Dynamics of Nucleation for the Cahn–Hilliard Equation
- Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids
- On the Method of Characteristics in Rate-Type Viscoelasticity with Non-Monotone Equilibrium Curve
- On finite-difference approximations and entropy conditions for shocks
- Dynamical Stability of Phase Transitions in thep-System with Viscosity-Capillarity
- High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks
- Adiabatic Phase Boundary Propagation in a Theromoelastic Solid
- Admissibility criteria for shock wave solutions of a system of conservation laws of mixed type
- Stick-Slip Interface Motion as a Singular Limit of the Viscosity-Capillarity Model
- The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity
- A Model Numerical Scheme for the Propagation of phase Transitions in Solids
- Nonlinear Partial Differential Equations and Computing
- Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments
- Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition
- Feeding and dissipative waves in fracture and phase transition. I: Some 1D structures and a square-cell lattice. II: Phase-transition waves
- High-order entropy-conservative schemes and kinetic relations for van der Waals fluids
- Finite scale microstructures in nonlocal elasticity
