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Determination of elastic T-stress along three-dimensional crack fronts using an interaction integral

Determination of elastic T-stress along three-dimensional crack fronts using an interaction integral

Authors :
David M. Parks
Nakamura Toshio
Source :
International Journal of Solids and Structures. 29:1597-1611
Publication Year :
1992
Publisher :
Elsevier BV, 1992.

Abstract

We introduce an effective computational method, based on an interaction integral, to evaluate elastic T -stress along three-dimensional crack fronts. Using this technique, T -stress distributions of various three-dimensional geometries are determined from finite element calculations. The computed results show that the through-thickness variation of T -stress along the crack front of edge-cracked plates is relatively small under both tension and bending load conditions. The deviation from the corresponding two-dimensional results increases with increasing relative crack length and with decreasing relative plate thickness. The increase in T -stress with decreasing thickness results from the inherent positive biaxiality of thin elastic plates. Furthermore, the value of three-dimensionally computed T -stress in these through-crack geometries increases with increasing Poisson's ratio. The T -stress distribution is also calculated along the curved crack front of a surface-flawed plate. For the particular geometry considered, the maximum T -stress along the crack front is located at the mid-point of the crack front, and there is a greater variation of T -stress along the crack front under bending loads than in tension.

Details

ISSN :
00207683
Volume :
29
Database :
OpenAIRE
Journal :
International Journal of Solids and Structures
Accession number :
edsair.doi...........8862a3d3066e05cfb82793f3a9f0dbd7
Full Text :
https://doi.org/10.1016/0020-7683(92)90011-h