Modeling and simulations of two dimensional propagation of shear shock waves in relaxing soft solids

DOI10.1016/j.jcp.2019.06.014zbMath1452.74059OpenAlexW2953181237MaRDI QIDQ2222339

David Espíndola, Gianmarco F. Pinton, Bharat B. Tripathi

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.06.014

zbMATH Keywords

piecewise parabolic methodtraumatic brain injuryrelaxation mechanismsshear shock waves

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Nonlinear waves in solid mechanics (74J30) Biomechanics (92C10) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (2)

Shear shock formation in incompressible viscoelastic solids ⋮ A hyperbolic generalized Zener model for nonlinear viscoelastic waves

Uses Software

• CASTRO

Cites Work

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• Numerical modeling of transient two-dimensional viscoelastic waves
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Multidimensional upwind methods for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• An unsplit 3D upwind method for hyperbolic conservation laws
• Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics
• Finite element implementation of incompressible, transversely isotropic hyperelasticity
• A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing.
• Convergence tests for the piecewise parabolic method and Navier-Stokes solutions for homogeneous compressible turbulence
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Biomechanics of traumatic brain injury
• Engineering Viscoelasticity
• Hyperbolic systems of conservation laws II
• Finite Volume Methods for Hyperbolic Problems
• The Finite-Difference Modelling of Earthquake Motions
• The Riemann problem for fluid flow of real materials
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
• A high-order Eulerian Godunov method for elastic-plastic flow in solids

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