Dual boundary element analysis of wave scattering from singularities

DOI10.1016/S0165-2125(99)00015-3zbMath1074.74644OpenAlexW2101883510MaRDI QIDQ1607994

R. Smith

Publication date: 1 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-2125(99)00015-3

zbMATH Keywords

hypersingular integral equationdynamic stress intensity factorscircular membrane

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Membranes (74K15)

Related Items (10)

Dual boundary element analysis of oblique incident wave passing a thin submerged breakwater. ⋮ Eigenanalysis for membranes with stringers using conventional BEM in conjunction with SVD technique. ⋮ A meshless method for the stable solution of singular inverse problems for two-dimensional Helmholtz-type equations ⋮ Study on the true and spurious eigensolutions of two-dimensional cavities using the dual multiple reciprocity method. ⋮ An efficient Wave Based Method for 2D acoustic problems containing corner singularities ⋮ Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2D exterior acoustics ⋮ A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks ⋮ Revisit of a degenerate scale: a semi-circular disc ⋮ Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations ⋮ On physical and numerical resonances for water wave problems using the dual boundary element method

Uses Software

• ABAQUS

Cites Work

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• A single-region time domain BEM for dynamic crack problems
• Finite element analysis of wave scattering from singularities
• Boundary element analysis and design in seepage problems using dual integral formulation
• Dual integral formulation for determining the acoustic modes of a two-dimensional cavity with a degenerate boundary.
• A New Boundary Integral Equation Formulation for Elastodynamic and Elastostatic Crack Analysis
• Two-dimensional stress intensity factor computations using the boundary element method
• The laplace transform DBEM for mixed-mode dynamic crack analysis
• Dual boundary element analysis for cracked bars under torsion
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems

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