Journal article
Consistent application of path-independent interaction integrals to arbitrary curved crack faces
Publication Details
Authors: | Judt, P.; Ricoeur, A. |
Publisher: | Springer Science Business Media |
Publication year: | 2015 |
Journal: | Archive of Applied Mechanics |
Pages range : | 13-27 |
Volume number: | 85 |
Issue number: | 1 |
Start page: | 13 |
End page: | 27 |
Number of pages: | 15 |
ISSN: | 0939-1533 |
DOI-Link der Erstveröffentlichung: |
Abstract
The interaction integral (I-integral) method is a numerical technique based on the theory of path-independent energy conservation integrals, efficiently and accurately yielding stress intensity factors (SIF) for crack loading analyses. The drawback of the method, however, is that the requirement of auxiliary fields, which are commonly taken from asymptotic crack tip solutions, impedes a straightforward application to curved crack paths unless the integration contour is contracted to the crack tip. Thus, in hitherto available literature, fracture mechanical analyses based on the I-integral have been restricted to straight cracks under mixed-mode loading. This paper presents consistent approaches for the calculation of the I-integral in homogeneous, plane structures with arbitrary curved cracks based on finite integration contours. Relations between both coordinates I (k) of the interaction integral and SIF are derived. If crack face integrals are necessary to maintain path independence, special numerical treatment is required. Results are presented and verified by comparing the loading quantities from the I-integral to values calculated by conventional methods.
The interaction integral (I-integral) method is a numerical technique based on the theory of path-independent energy conservation integrals, efficiently and accurately yielding stress intensity factors (SIF) for crack loading analyses. The drawback of the method, however, is that the requirement of auxiliary fields, which are commonly taken from asymptotic crack tip solutions, impedes a straightforward application to curved crack paths unless the integration contour is contracted to the crack tip. Thus, in hitherto available literature, fracture mechanical analyses based on the I-integral have been restricted to straight cracks under mixed-mode loading. This paper presents consistent approaches for the calculation of the I-integral in homogeneous, plane structures with arbitrary curved cracks based on finite integration contours. Relations between both coordinates I (k) of the interaction integral and SIF are derived. If crack face integrals are necessary to maintain path independence, special numerical treatment is required. Results are presented and verified by comparing the loading quantities from the I-integral to values calculated by conventional methods.
Keywords
Auxiliary crack faces, Crack deflection, Curved crack faces, I-integral, Interaction integral
