Crack shielding and amplification due to multiple microcracks interacting with a macrocrack
 Stefan Loehnert,
 Ted Belytschko
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We investigate the effect of crack shielding and amplification of various arrangements of microcracks on the stress intensity factors of a macrocrack, including large numbers of arbitrarily aligned microcracks. The extended finite element method is used for these studies. In some cases the numerical XFEM simulation provides results that are more accurate than currently available analytical approximations because the assumptions are less restrictive than those made in obtaining analytical approximations. Stress intensity factors for the tip of a macrocrack under the influence of nearby microcracks are calculated under far field mode 1 boundary conditions. For a microcrack aligned with the macrocrack the numerical results agree quite well with the analytically exact stress intensity factors. The influence of the distance to the macrocrack tip and the rotation angle is investigated for unaligned microcracks, and it is shown in several examples with many randomly distributed microcracks that the influence of those microcracks which are not in close proximity to the macrocrack tip is on the order of 5%.
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 Title
 Crack shielding and amplification due to multiple microcracks interacting with a macrocrack
 Journal

International Journal of Fracture
Volume 145, Issue 1 , pp 18
 Cover Date
 20070501
 DOI
 10.1007/s1070400790941
 Print ISSN
 03769429
 Online ISSN
 15732673
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Crack shielding
 Crack amplification
 Finite elements
 Extended finite element method
 Industry Sectors
 Authors

 Stefan Loehnert ^{(1)}
 Ted Belytschko ^{(1)}
 Author Affiliations

 1. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208, USA