Solution Of Stress Intensity Factors For 2-D
Multiple Crack Problems By The Fast Multipole
Boundary Element Method
Author(s)
Zhao Guo, Yijun Liu & Hang Ma
Abstract
The fast multipole boundary element method (BEM) based on both singular and
hypersingular boundary integral equations (BIEs) for 2-D elasticity is applied to
study 2-D multiple crack problems in this work. For multiple crack problems, the
degrees of freedom (DOFs) and the size of the matrices can increase quickly as
the number of cracks increases, which prohibits the use of the conventional
BEM. In this study, constant line elements are used to discretize the crack
surfaces and other boundaries. There is no use of the special quarter-point
elements at crack tips in the present approach. To account for the need for
accuracy, a relatively larger number of constant elements is required on the
surfaces of cracks. By applying the fast multipole BEM, the increased
computational work can be dealt with readily on desktop PCs. Results of the
computed stress intensity factors using crack opening displacements (CODs)
near the crack tips are presented in this paper. It is found that the fast multipole
BEM with constant elements can predict the stress intensity factors of cracks in
2-D plates with sufficient accuracy and efficiency.
Keywords: fast multipole boundary element method, 2-D crack problems,
constant boundary elements, stress intensity factors.
Keywords
fast multipole boundary element method, 2-D crack problems,
constant boundary elements, stress intensity factors
Related Book
Other papers in this volume
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