Re-examination of crack opening model of interface fracture

Boniface, V and Simha, KRY (1999) Re-examination of crack opening model of interface fracture. In: Engineering Fracture Mechanics, 64 (6). pp. 677-691.

PDF Re-examination_of_crack_o.pdf - Published Version Restricted to Registered users only Download (437kB) | Request a copy

Abstract

The complex singularity associated with a crack at the interface between two dissimilar, isotropic and homogeneous materials leads to mathematical artefacts, such as stress oscillations and crack face interpenetrations in the vicinity of the crack tip. To avoid these unrealistic features, Sinclair (Sinclair GB. On the stress singularity at an interface crack. International Journal of Fracture 1980;16(2):111-9) assumed a finite crack opening angle (COA) such that the singularity lambda became real equal to 1/2. This paper extends the COA model by considering real singularities not necessarily equal to 1/2. When COA is 0 degrees: the interface crack singularity is complex with a real part equal to 1/2. On increasing COA, the imaginary part of the singularity decreases and becomes zero at a threshold value of COA; at this point, the singularity is a real, repeated value. A further increase in COA results in a pair of real singularities. Different crack opening configurations and material combinations are studied, and results presented for threshold COAs and associated values of singularity. Stress analyses for these three regimes: (a) complex, (b) real pair and (c) real repeated singularities, are reported. It is seen that additional complexities are present in the last case. Typical results for stress fields are also included for comparing with standard fields. (C) 1999 Elsevier Science Ltd. All rights reserved.

Item Type:	Journal Article
Publication:	Engineering Fracture Mechanics
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	Asymptotic analyses;Crack tip opening angle;Interface fracture
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	29 Jun 2011 04:53
Last Modified:	29 Jun 2011 04:53
URI:	http://eprints.iisc.ac.in/id/eprint/38744

Actions (login required)

View Item