A Simple Implementation Of The Dual Boundary
Element Method Using The Tangential
Differential Operator For Plane Problems
Author(s)
L. Palermo, P. C. Gonçalves & L. G. Figueiredo
Abstract
Plane problems of linear fracture mechanics were solved with the dual boundary
element method (DBEM) using the tangential differential operator (TDO) in
traction boundary integral equation (BIE). The numerical implementation
employed same shape functions for conformal and non-conformal interpolations
with nodal parameters fixed at the ends of elements. Different collocation point
positions were used in crack surfaces according to continuity requirements
related to each BIE type employed. The aim of this paper is presenting a simple
implementation for fracture analysis. Results obtained in the literature for stress
intensity factors were included to show the accuracy of the formulation.
Keywords: tangential differential operator, dual boundary element method,
stress intensity factor.
1 Introduction
This study began when the implementation presented in [1] was revisited in [2]
with purpose to apply conformal interpolations along crack surfaces. Nonconformal
interpolations along crack surfaces were used in [1] with quadratic
elements and collocation points positioned at element nodes. The problems
solved in [1] could be analyzed in [2] using conformal interpolations along crack
surfaces with collocations points shifted to the interior of elements. The obtained
results in [2] with quadratic or linear elements had a good agreement with those
presented in [1] for internal positions (ξ') of collocation points equal ±0.67 in the
range (-1, 1). Furthermore, results were not significantly changed if conformal or
Keywords
tangential differential operator, dual boundary element method,
stress intensity factor
Related Book
Other papers in this volume
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