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Crack Edge Element of Three-Dimensional Displacement Discontinuity Method with Boundary Division into Triangular Leaf Elements

H. Li
Organization: Yamaguchi University, Ube, Japan
C. Liu
Organization: College of Science, Yangzhou University
Department: Department of Mathematics
Y. Mizuta
Organization: Yamaguchi University, Ube, Japan
M. A. Kayupov
Organization: General Motors Corporation, Warren, Michigan, U.S.A.
Journal / Anthology

Communications in Numerical Methods in Engineering
Year: 2001
Volume: 17
Page range: 365-378

In this paper, the existing diplacement discontinuity method (DDM) for three-dimesnsional elastic analysis with boundary discretized into triangular elements, which is purely based on analytical integrals, is extended from the constant element to the square-root crack edge element. In order to evaluate the singular integral when the receiver point falls into the remitter element, i.e., the observed point (x,y) \in Delta, a part-analytical and part-numerical integration procedure is adopted effectively. The newly developed codes prve vaid in estimating the stress intensity factor (SIF) K_1. Furthermore, for the sake of keeping the advantages of high speed and high accuracy in developing the numerical system, a novel method to realize ure analutical integration of the influence function is found by the aid of the symbolic computation technology of Mathematica.

*Applied Mathematics > Numerical Methods
*Engineering > Finite Element Methods

crack edge element, #D displacement discontinuity method, triangular leaf element, anlytical integration