Direct boundary integral equations for elastodynamics in 3-D half-spaces

DOI10.1007/BF00370108zbMath0696.73046OpenAlexW2012583440MaRDI QIDQ911352

I. R. Gonsalves, Davdi J. Shippy, Frank J. Rizzo

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00370108

zbMATH Keywords

radiationscatteringtime-harmonic elastic wavesfundamental tensorsfictitious eigenfrequenciesLamb's tensorsnonuniqueness of the integral equation solutionSomigliana's integral formulaStokes'-tensorthree-dimensional homogeneous, isotropic, linear-elastic half-spaceVector boundary integral equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Wave scattering in solid mechanics (74J20)

Related Items (10)

An indirect boundary element method to model the 3-D scattering of elastic waves in a fluid-saturated poroelastic half-space ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ Direct boundary integral equations for elastodynamics in 3-D half-spaces ⋮ Frank Rizzo and boundary integral equations ⋮ Some efficient boundary integral strategies for time-harmonic wave problems in an elastic halfspace ⋮ Nyström method for elastic wave scattering by three-dimensional obstacles ⋮ Band structure analysis of phononic crystals with imperfect interface layers by the BEM ⋮ Scattering of elastic waves by a 3-D inclusion in a poroelastic half space ⋮ A choice of interpolation schemes for the boundary-element method in elastodynamics ⋮ The direct boundary integral equation method for the three-dimensional elastodynamic transmission problem

Uses Software

• LINPACK

Cites Work

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• The direct boundary integral equation method for the three-dimensional elastodynamic transmission problem
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• An efficient elastodynamic infinite element
• Dynamic response of embedded foundations: A hybrid approach
• Off-boundary approach to the boundary element method
• Elastic wave scattering by a three-dimensional inhomogeneity in an elastic half space
• A boundary integral equation method for radiation and scattering of elastic waves in three dimensions
• A quadratic variation indirect boundary element method for traction boundary-value problems of two-dimensional elastostatics
• Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves
• An advanced boundary integral equation method for three-dimensional thermoelasticity
• Improved Integral Formulation for Acoustic Radiation Problems

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