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The boundary element method for elasticity problems with concentrated loads based on displacement singular elements

Wei Zhou, Qiang Yue, Qiao Wang, Y.T. Feng, Xiaolin Chang, Yuntian Feng Orcid Logo

Engineering Analysis with Boundary Elements, Volume: 99, Pages: 195 - 205

Swansea University Author: Yuntian Feng Orcid Logo

Abstract

The boundary element method (BEM) has been implemented in elasticity problems very successfully because of its high accuracy. However, there are very few investigations about BEM with concentrated loads. The displacement at the concentrated load point is infinite and traditional elements will lead i...

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Published in: Engineering Analysis with Boundary Elements
ISSN: 0955-7997
Published: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa47950
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Abstract: The boundary element method (BEM) has been implemented in elasticity problems very successfully because of its high accuracy. However, there are very few investigations about BEM with concentrated loads. The displacement at the concentrated load point is infinite and traditional elements will lead inaccurate results near the concentrated load point. This paper proposes two types of displacement singular elements to approximate the displacement near concentrated load point, and high accuracy can be obtained without refinement. The second type of displacement singular element is a general element type, which can work well for both problems with or without boundary concentrated loads. Numerical examples have been studied and compared with results obtained by traditional BEM and finite element method (FEM) to show the necessary of the proposed methods.
Keywords: Boundary element method, Elasticity problem, Concentrated loads, Displacement singular element
College: College of Engineering
Start Page: 195
End Page: 205