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Two-dimensional linear elasticity by the boundary node method

✍ Scribed by Vasanth S. Kothnur; Subrata Mukherjee; Yu Xie Mukherjee

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
663 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis

This paper presents a further development of the Boundary Node Method "BNM# for 1!D linear elasticity[ In this work\ the Boundary Integral Equations "BIE# for linear elasticity have been coupled with Moving Least Square "MLS# interpolants^this procedure exploits the mesh!less attributes of the MLS and the dimensionality advantages of the BIE[ As a result\ the BNM requires only a nodal data structure on the bounding surface of a body[ A cell structure is employed only on the boundary in order to carry out numerical integration[ In addition\ the MLS interpolants have been suitably truncated at corners in order to avoid some of the oscillations observed while solving potential problems by the BNM "Mukherjee and Mukherjee\ 0886a#[ Numerical results presented in this paper\ including those for the solution of the Lame and Kirsch problems\ show good agreement with analytical solutions[

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