On the mechanical dissipation of solutions to the Riemann problem for impact involving a two-phase elastic material
From MaRDI portal
Publication:1192730
DOI10.1007/BF00375158zbMath0791.73018OpenAlexW2050952510MaRDI QIDQ1192730
Publication date: 27 September 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00375158
existenceuniquenessinitial value problemsrodrarefaction wavesphase boundariesentropy rate conditionmaximum dissipation condition
Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Hyperbolic conservation laws (35L65) Impact in solid mechanics (74M20)
Related Items (max. 100)
The Riemann problem for thermoelastic materials with phase change ⋮ Wave propagation in shape memory alloy rods under impulsive loads ⋮ On the dissipation due to wave ringing in nonelliptic elastic materials ⋮ Transition to detonation in dynamic phase changes
Cites Work
- Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example
- The viscosity-capillarity criterion for shocks and phase transitions
- A limiting ``viscosity approach to the Riemann problem for materials exhibiting change of phase
- Admissible wave fans in nonlinear hyperbolic systems
- On the emergence and propagation of a phase boundary in an elastic bar with a suddenly applied end load
- Non-elliptic elastic materials and the modelling of elastic-plastic behavior for finite deformation
- Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
- The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion: Nonisothermal case
- Solution of the Riemann problem for a prototype 2\(\times 2\) system of non-strictly hyperbolic conservation laws
- The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion-isothermal case
- The propagation of phase boundaries in elastic bars
- On the encounter of an acoustic shear pulse with a phase boundary in an elastic material: Energy and dissipation
- The Riemann problem for general systems of conservation laws
- Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
- Formulation and analysis of a functional equation describing a moving one-dimensional elastic phase boundary
- The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
- The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
- Dynamic phase transitions in a van der Waals gas
This page was built for publication: On the mechanical dissipation of solutions to the Riemann problem for impact involving a two-phase elastic material