A high-resolution residual splitting scheme for the elastic-plastic wave equation

DOI10.1016/J.WAVEMOTI.2004.04.004zbMath1189.74102OpenAlexW1977936263MaRDI QIDQ981530

Guido Giese, Michael Fey

Publication date: 1 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2004.04.004

zbMATH Keywords

wave equationelasticityplasticity

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite volume methods applied to problems in solid mechanics (74S10)

Cites Work

• Multidimensional upwind methods for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Multidimensional upwinding. I: The method of transport for solving the Euler equations
• Multidimensional upwinding. II: Decomposition of the Euler equations into advection equations
• A numerical scheme for axisymmetric elastic waves in solids
• A genuinely multidimensional high-resolution scheme for the elastic-plastic wave equation
• High-order simulation of the elastic --- plastic wave equation in two space dimensions
• Improved bicharacteristic schemes for two-dimensional elastodynamic equations
• Plane Waves Due to Combined Compressive and Shear Stresses in a Half Space
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