The direct boundary integral equation method for the three-dimensional elastodynamic transmission problem

DOI10.1016/0895-7177(91)90061-BzbMath0727.73087OpenAlexW2003210707MaRDI QIDQ804388

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

Publication date: 1991

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(91)90061-b

zbMATH Keywords

forced vibrationstime-harmonic waveselastic inclusionsCHIEF formulation of acousticsfinite composite bodiesisotropic, linear elasticitynodal collocationquadratic isoparametric elementsregularized BIEssystem of coupled vector boundary integral equationsthree-dimensional elastic matrix of infinite extent

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Inhomogeneity in solid mechanics (74E05) Wave scattering in solid mechanics (74J20)

Related Items

Direct boundary integral equations for elastodynamics in 3-D half-spaces, Frank Rizzo and boundary integral equations, Nyström method for elastic wave scattering by three-dimensional obstacles, Band structure analysis of phononic crystals with imperfect interface layers by the BEM, The method of fundamental solutions for transmission and scattering of elastic waves, Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains, Boundary integral equation formulation for the generalized micro-polar thermoviscoelasticity, A weakly singular boundary integral equation in elastodynamics for heterogeneous domains mitigating fictitious eigenfrequencies, Boundary integral equation formulation for the generalized thermoviscoelasticity with two relaxation times

Cites Work

• Unnamed Item
• Unnamed Item
• Direct boundary integral equations for elastodynamics in 3-D half-spaces
• Boundary-integral equation method for elastodynamic scattering by a compact inhomogeneity
• On time-harmonic elastic-wave analysis by the boundary element method for moderate to high frequencies
• An efficient elastodynamic infinite element
• Identification of irregular frequencies in simple direct integral- equation methods for scattering by homogeneous inclusions
• A formulation and solution procedure for the general non-homogeneous elastic inclusion problem
• Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
• Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium
• An advanced boundary integral equation method for three-dimensional thermoelasticity
• Improved Integral Formulation for Acoustic Radiation Problems
• Scattering of Plane Compressional Waves by a Spherical Obstacle
• Three‐dimensional crack analysis using singular boundary elements