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Indexed by:Journal Papers

Date of Publication:2015-06-01

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:289

Page Number:44-59

ISSN No.:0045-7825

Key Words:Boundary element method; Radial integration method; Stress integral equation; Several kinds of variable coefficient

Abstract:This paper presents a set of new analytical expressions for evaluating radial integrals appearing in the stress computation of several kinds of variable coefficient elastic problems using the radial integration boundary element method (RIBEM). The strong singularity involved in the stress integral equation is explicitly removed from the derivation of the analytical expressions. This approach can improve the computational efficiency considerably and can overcome the time-consuming deficiency of RIBEM in computing involved radial integrals. In addition, because it can solve many kinds of variable coefficient elastic problems, this approach has a very wide applicability. The fourth-order spline (Radial Basis Function) RBF is employed to approximate the unknowns appearing in domain integrals caused by the variation of the shear modulus. The radial integration method is utilized to convert domain integrals to the boundary, which results in a pure boundary discretization algorithm. Numerical examples are given to demonstrate the efficiency of the presented formulations. (C) 2015 Elsevier B.V. All rights reserved.