Open Access

ABSTRACT

Alternating iteration method in multi-connected crack interactions

C. K. Chen¹

1 Department of Mechanical Engineering, Cheng Shiu University. E-mail: joss@csu.euu.tw

The International Conference on Computational & Experimental Engineering and Sciences 2009, 9(3), 163-178. https://doi.org/10.3970/icces.2009.009.163

Abstract

A classical alternating iteration method is applied to evaluate the stress intensity factors for a mixed oriented crack approaching semi-infinite plane or a straight crack. Conventional Gaussian-Legedre quadrature scheme is employed for the numerical integration in the crack vs. free boundary interacting problems; however, averaged image stresses along crack surfaces are invoked to simplify the alternating procedures in crack vs. crack interaction. Good correlation was achieved between the iterated solutions and the available solutions in the literature. As crack approach the free semi-infinite plane, mode I affect increases, however, maximum mode II stress intensity factors may shift to the lower angle from its original extreme with slant angle of 45°. In the interaction between cracks, the stress intensity factor of straight crack is enhanced for closely located cracks with a crack of aligned angle in the range of β = 0° ~ 20°. Nevertheless, close proximity may jeopardize the numerical convergence in the alternating iteration due to the inadequacy of conventional integration scheme in dealing with numerical singularities.

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Keywords

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