TY - JOUR
T1 - Energy release rate and crack kinking
AU - Hayashi, K.
AU - Nemat-Nasser, S.
N1 - Funding Information:
Acknowledgements-This work was supported by National Science Foundation Grant No. ENG77-22155 to Northwestern University. We also wish to thank Prof. C. H. Wu of University of Illinois at Chicago Circle, who read the manuscript and made a number of helpful comments. He also called our attention to a very recent work of his[18] which, while using a completely different method, provides results in agreement with those presented here.
PY - 1981
Y1 - 1981
N2 - A closed form solution is presented for the energy release rate at the onset of kinking of a straight crack in an infinite elastic medium subjected to a predominantly Mode I loading. The solution is accurate to the second order of kink angle and is carried out by the method which models the kink as a continuous distribution of infinitesimal edge dislocations. On the basis of the maximum energy release rate criterion, simple expressions are obtained for the critical kink angle and the critical applied stress. The examination of the results shows that the second order solutions are in very good agreement, up to fairly large kink angles, with numerical results reported by others. It is also analytically established that the Irwin formula for the energy release rate remains valid under the predominantly Mode I loading, provided that the stress intensity factors in the formula are appropriately interpreted.
AB - A closed form solution is presented for the energy release rate at the onset of kinking of a straight crack in an infinite elastic medium subjected to a predominantly Mode I loading. The solution is accurate to the second order of kink angle and is carried out by the method which models the kink as a continuous distribution of infinitesimal edge dislocations. On the basis of the maximum energy release rate criterion, simple expressions are obtained for the critical kink angle and the critical applied stress. The examination of the results shows that the second order solutions are in very good agreement, up to fairly large kink angles, with numerical results reported by others. It is also analytically established that the Irwin formula for the energy release rate remains valid under the predominantly Mode I loading, provided that the stress intensity factors in the formula are appropriately interpreted.
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U2 - 10.1016/0020-7683(81)90050-0
DO - 10.1016/0020-7683(81)90050-0
M3 - Article
AN - SCOPUS:0019437118
VL - 17
SP - 107
EP - 114
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 1
ER -