Applications Of SGBEM For Analysis Of
3D Cracks In General Anisotropic Linear
Elastic Multi-regions
Author(s)
J. Rungamornrat & M. E. Mear
Abstract
In this paper, we present a computation procedure based upon the weakly-singular,
symmetric Galerkin boundary element method (SGBEM) for analysis of three
dimensional cracks in anisotropic multi-regions consisting of sub-domains made
from different materials. The symmetric weak-form, governing the integral equation
of the boundary value problem is obtained by employing a suitable combination
of the weakly-singular, weak-form displacement and traction integral equations
for each sub-domain. This set of integral equations is applicable for modeling
cracks in both isotropic and general anisotropic media. The final governing integral
equation possesses important features including that it is in a symmetric form,
it contains only weakly-singular kernels of order 1/r, it is applicable for modeling
both embedded and surface breaking cracks subjected to arbitrary mixed-mode
loading and it can be used to treat cracks in a domain consisting of several subregions
with different material properties. In the numerical implementation, special
crack tip elements are utilized along the crack front and this allows the fracture
information (viz. stress intensity factors) to be determined directly and accurately
in terms of special DOFs associated with nodes along the crack front. Two numerical
examples are presented to illustrate convergence, accuracy and robustness of
the technique.
Keywords: boundary elements, integral equations, fracture, crack front,
anisotropy, stress intensity factors, weakly-singular, mixed-mode loading.
Keywords
boundary elements, integral equations, fracture, crack front,
anisotropy, stress intensity factors, weakly-singular, mixed-mode loading
Related Book
Other papers in this volume
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