An iterative Riemann solver for systems of hyperbolic conservation laws, with application to hyperelastic solid mechanics.
From MaRDI portal
Publication:1418693
DOI10.1016/j.jcp.2003.08.005zbMath1047.65069OpenAlexW2149416699MaRDI QIDQ1418693
Publication date: 14 January 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc776948/
Nonlinear elasticity (74B20) Shocks and related discontinuities in solid mechanics (74J40) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35)
Related Items
A friction interface model for multi-material interactions in a Eulerian framework, An upwind vertex centred finite volume solver for Lagrangian solid dynamics, A Cartesian scheme for compressible multimaterial models in 3D, Exact and approximate solutions of Riemann problems in nonlinear elasticity, An Eulerian algorithm for coupled simulations of elastoplastic-solids and condensed-phase explosives, A high-order accurate five-equations compressible multiphase approach for viscoelastic fluids and solids with relaxation and elasticity, A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity, A multi-physics methodology for four states of matter, An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids, Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme, A multi-physics methodology for the simulation of reactive flow and elastoplastic structural response, A complete list of exact solutions for one-dimensional elastic-perfectly plastic solid Riemann problem without vacuum, A unified Eulerian framework for multimaterial continuum mechanics, 1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application, An Approximate Riemann Solver for Fluid-Solid InteractionProblemswithMie-GrüneisenEquations of State, An Eulerian method for multi-component problems in non-linear elasticity with sliding interfaces, Perfect plasticity and hyperelastic models for isotropic materials, A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wave curves for the Riemann problem of plane waves in isotropic elastic solids
- Solution of a Riemann problem for elasticity
- A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing.
- The Riemann Problem for Longitudinal Motion in an Elastic-Plastic Bar
- Hyperbolic systems of conservation laws II
- A Conservative Eulerian Numerical Scheme for Elastoplasticity and Application to Plate Impact Problems
- Precise critical exponents for the basic contact process
- The Riemann problem for fluid flow of real materials
- Systems of conservation laws
- A high-order Eulerian Godunov method for elastic-plastic flow in solids