Complex Variable Green’s Functions for Crack-Microcracks Interactions

Abstract:

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In this study, interaction between a main crack and a surrounding layer of micro cracks is considered. A stress field distribution induced during these interactions is obtained using Muskhelshvili’s complex variables formalism which relies on the Green's functions. The effect of amplification and shielding on the resulting stress field is shown, herein, through a study of mode I Stress Intensity Factor (SIF). To quantify these effects, orientations as well as positions of microcracks with respect to the main crack is taken into consideration. Obtained results are compared and agreed with those of other researchers.

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Periodical:

Edited by:

Pavel Šandera

Pages:

123-128

DOI:

10.4028/www.scientific.net/KEM.465.123

Citation:

M. Chabaat and H. Ayas, "Complex Variable Green’s Functions for Crack-Microcracks Interactions", Key Engineering Materials, Vol. 465, pp. 123-128, 2011

Online since:

January 2011

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Price:

$35.00

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