A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows

DOI10.4208/cicp.OA-2016-0173zbMath1488.74139OpenAlexW2766342508MaRDI QIDQ5158991

Ming Yu, Jun Bo Cheng, Song Jiang, Yueling Jia, Eleuterio F. Toro

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-2016-0173

zbMATH Keywords

high-order schemecell-centered Lagrangian schemehypo-elastic constitutive modelfour-rarefaction Riemann solver with elastic waves

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Hyperbolic conservation laws (35L65) Impact in solid mechanics (74M20) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs in connection with mechanics of deformable solids (35Q74) Numerical and other methods in solid mechanics (74S99)

Related Items (11)

A friction interface model for multi-material interactions in a Eulerian framework ⋮ An HLLC-type approximate Riemann solver for two-dimensional elastic-perfectly plastic model ⋮ A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes ⋮ A 3D cell-centered ADER MOOD finite volume method for solving updated Lagrangian hyperelasticity on unstructured grids ⋮ The discontinuous Galerkin material point method for variational hyperelastic-plastic solids ⋮ A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow ⋮ HLLEPJ and HLLCEPJ Riemann solvers for the wilkins model of elastoplasticity ⋮ Harten-Lax-van Leer-discontinuities with elastic waves (HLLD-e) approximate Riemann solver for two-dimensional elastic-plastic flows with slip/no-slip interface boundary conditions ⋮ A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics ⋮ The complete exact Riemann solution for one-dimensional elastic-perfectly plastic Riemann problem ⋮ A second-order cell-centered Lagrangian scheme with a HLLC Riemann solver of elastic and plastic waves for two-dimensional elastic-plastic flows

Uses Software

• UNCMND
• pchip

Cites Work

• Unnamed Item
• An Eulerian hybrid WENO centered-difference solver for elastic-plastic solids
• Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
• Exact and approximate solutions of Riemann problems in nonlinear elasticity
• A high-order cell-centered Lagrangian scheme for one-dimensional elastic-plastic problems
• A cell-centered Lagrangian Godunov-like method for solid dynamics
• A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
• A geometrical approach to nonconservative shocks and elastoplastic shocks
• Modelling wave dynamics of compressible elastic materials
• A higher-order Godunov method for modeling finite deformation in elastic-plastic solids
• MUSTA-type upwind fluxes for non-linear elasticity
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A high-order Eulerian Godunov method for elastic-plastic flow in solids
• A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids.

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