The solution to an elliptic partial differential equation for facilitating exact volume integral transformation in the 3D BEM analysis

DOI10.1016/j.enganabound.2014.12.011zbMath1403.74225OpenAlexW1993584251WikidataQ115353846 ScholiaQ115353846MaRDI QIDQ1799674

Meng-Rong Li, Y. C. Shiah

Publication date: 19 October 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.12.011

zbMATH Keywords

boundary element analysispartial differential equation3D anisotropic elasticitybody-force effectexact volume integral transformation

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• A general exact transformation of body-force volume integral in BEM for 2D anisotropic elasticity
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• 3D BEM for general anisotropic elasticity
• Efficient computation of the Green's function and its derivatives for three-dimensional anisotropic elasticity in BEM analysis
• Stress Analysis of 3D Generally Anisotropic Elastic Solids Using the Boundary Element Method
• Evaluation of Explicit-form Fundamental Solutions for Displacements and Stresses in 3D Anisotropic Elastic Solids
• BEM for general anisotropic 2D elasticity using particular integrals
• Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis
• An advanced boundary integral equation method for three-dimensional thermoelasticity
• Evaluation of the anisotropic Green's function and its derivatives
• The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids
• On the residue calculus evaluation of the 3-D anisotropic elastic green's function

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