WIT Press


Invited Paper The Boundary Element Method With Singular Shape Functions, Revisited

Price

Free (open access)

Paper DOI

10.2495/BE930162

Volume

2

Pages

12

Published

1993

Size

556 kb

Author(s)

N.G. Zamani & W. Sun

Abstract

Invited Paper The boundary element method with singular shape functions, revisited N.G. Zamani", W. Sun^ ^Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario Canada ^Department of Mathematics and Statistics, Simon Eraser University, Vancouver, British Columbia, Canada ABSTRACT The elements used in the standard boundary element method sur- rounding the crack tip are modified to resemble the inverse square root singularity. This modification results in the introduction of the stress intensity factor associated with linear elastic fracture mechan- ics. An additional constraint equation is needed to compensate for the stress intensity factor degree of freedom. As a benchmark problem, the double edge crack under mode I loading is investigated. INTRODUCTION The requirement for accurate prediction of the stress/strain field in domains containing a crack has influenced the development of nu- merous techniques for calculation of the

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