Piecewise oblique boundary treatment for the elastic-plastic wave equation on a Cartesian grid

DOI10.1007/S00466-009-0406-3zbMath1259.74016OpenAlexW2050857726MaRDI QIDQ1034766

Guido Giese

Publication date: 6 November 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-009-0406-3

zbMATH Keywords

elasticityboundary conditionsplasticityelastic-plastic waveswave propagation in solids

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Linear waves in solid mechanics (74J05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Cites Work

• Multidimensional upwind methods for hyperbolic conservation laws
• A higher-order boundary treatment for Cartesian-grid methods
• 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
• An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
• A genuinely multidimensional high-resolution scheme for the elastic-plastic wave equation
• An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
• Euler calculations for multielement airfoils using Cartesian grids
• 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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