A numerical scheme for axisymmetric elastic waves in solids

DOI10.1016/0165-2125(94)00046-8zbMath0968.74601OpenAlexW1970849332MaRDI QIDQ1297107

Xiao Lin, Josef Ballmann

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1016/0165-2125(94)00046-8

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (8)

High-order simulation of the elastic --- plastic wave equation in two space dimensions ⋮ On the position of a vortex in a two-dimensional model of atmosphere ⋮ Numerical methods for solid mechanics on overlapping grids: linear elasticity ⋮ Nonstationary distributed axisymmetric load on an elastic half-space ⋮ A novel pressure-velocity formulation and solution method for fluid-structure interaction problems ⋮ A high-resolution residual splitting scheme for the elastic-plastic wave equation ⋮ Piecewise oblique boundary treatment for the elastic-plastic wave equation on a Cartesian grid ⋮ A genuinely multidimensional high-resolution scheme for the elastic-plastic wave equation

Cites Work

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• A generalized Riemann problem for quasi-one-dimensional gas flows
• The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow
• Numerical method for elastic-plastic waves in cracked solids. I: Anti- plane shear problem
• Numerical method for elastic-plastic waves in cracked solids. II: Plane strain problem
• Transient stress intensity factors for a finite crack in an elastic solid caused by a dilatational wave
• Numerical stabilizers and computing time for second-order accurate schemes
• Dynamic stress intensity factors studied by boundary integro-differential equations
• Time-domain boundary element analysis of elastic wave interaction with a crack
• Improved bicharacteristic schemes for two-dimensional elastodynamic equations
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