A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity

DOI10.4208/cicp.OA-2017-0018zbMath1488.74140OpenAlexW2767007973MaRDI QIDQ5158997

Thomas Milcent, Angelo Iollo, Alexia de Brauer

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2017-0018

zbMATH Keywords

plasticitycompressible multimaterialEulerian elasticity

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Hyperbolic conservation laws (35L65) Numerical and other methods in solid mechanics (74S99) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (10)

Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure ⋮ A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics ⋮ A multi-physics methodology for four states of matter ⋮ A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model ⋮ Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials ⋮ An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension ⋮ Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity ⋮ A unified Eulerian framework for multimaterial continuum mechanics ⋮ On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows ⋮ A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach

Cites Work

• Numerical simulation of elastic-plastic solid mechanics using an Eulerian stretch tensor approach and HLLD Riemann solver
• A simple Cartesian scheme for compressible multimaterials
• Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation
• Diffuse interface model for compressible fluid -- compressible elastic-plastic solid interaction
• An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids
• Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
• A critical review of the state of finite plasticity
• Solid-fluid diffuse interface model in cases of extreme deformations
• Exact and approximate solutions of Riemann problems in nonlinear elasticity
• A conservative Eulerian formulation of the equations for elastic flow
• Restoration of the contact surface in the HLL-Riemann solver
• An Eulerian multi-material scheme for elastic-plastic impact and penetration problems involving large material deformations
• A conservative formulation for plasticity
• A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing.
• Efficient implementation of weighted ENO schemes
• A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
• A Cartesian scheme for compressible multimaterial models in 3D
• Modelling wave dynamics of compressible elastic materials
• Dynamics of shock waves in elastic-plastic solids
• A Sharp Contact Discontinuity Scheme for Multimaterial Models
• Eulerian formulation and level set models for incompressible fluid-structure interaction
• Simplified Second-Order Godunov-Type Methods
• A high-order Eulerian Godunov method for elastic-plastic flow in solids

This page was built for publication: A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity