Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements; elasticity formulation

DOI10.1016/0045-7825(94)90081-7zbMath0851.73073OpenAlexW2026329855MaRDI QIDQ1913134

C. Balakrishna, J. H. Kane, Leonard J. Gray

Publication date: 24 June 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)90081-7

zbMATH Keywords

regularization proceduresymbolic manipulationboundary definitionhybrid analytical/numerical integration schemesingular and hypersingular double integrationssingular Galerkin integrands

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15)

Related Items (7)

Symmetric Galerkin boundary integral formulation for interface and multi-zone problems ⋮ A Galerkin symmetric and direct BIE method for Kirchhoff elastic plates: formulation and implementation ⋮ Implementation of a symmetric boundary element method in transient heat conduction with semi-analytical integrations ⋮ Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM. ⋮ Dynamic elastic-plastic analysis by a symmetric Galerkin boundary element method with time-independent kernels ⋮ Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity ⋮ A symmetric Galerkin formulation and dual reciprocity for 2D elastostatics

Uses Software

• Maple

Cites Work

• Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements: Thermal conduction formulation
• Evaluation of hypersingular integrals in the boundary element method
• How to deal with hypersingular integrals in the symmetric BEM
• Reusable intrinsic sample point (RISP) algorithm for the efficient numerical integration of three dimensional curved boundary elements
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Symmetric Galerkin boundary formulations employing curved elements
• Hypersingular integrals in boundary element fracture analysis

This page was built for publication: Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements; elasticity formulation