Numerical simulation of linear and nonlinear waves in hypoelastic solids by the CESE method

DOI10.1016/j.wavemoti.2009.09.005zbMath1231.74249OpenAlexW1963963491MaRDI QIDQ661788

Lixiang Yang, Stephen E. Bechtel, Sheng-Tao John Yu, Robert L. Lowe

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2009.09.005

zbMATH Keywords

CESE methodfirst-order hyperbolic systemnonlinear stress wave

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear waves in solid mechanics (74J30) Impact in solid mechanics (74M20)

Related Items

Numerical solution of initial-boundary system of nonlinear hyperbolic equations, Numerical simulation of elastic-plastic solid mechanics using an Eulerian stretch tensor approach and HLLD Riemann solver, Exponential Jacobi spectral method for hyperbolic partial differential equations, Hyperbolicity of velocity-stress equations for waves in anisotropic elastic solids, Deviatoric stress waves due to rheology in incompressible thermoviscoelastic solid medium with small strain, small deformation physics, GPU accelerated CESE method for 1D shock tube problems, A spatio-temporal fully meshless method for hyperbolic PDEs, Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes, Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations, Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM)

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