Cracking and Debonding on Bimaterial Interface under Uniform Loading
Publication: Journal of Engineering Mechanics
Volume 118, Issue 6
Abstract
A problem is solved for a bimaterial plane that consists of partially bonded dissimilar half‐planes subject to uniform traction parallel to the interface at infinity. Fracture conditions at a debonded tip are investigated, i.e., a crack initiation into a material and/or the debonding propagation along the interface. A crack initiation is specified by the following three conditions: (1) Stress distribution before a crack initiation; (2) stress‐intensity factor for opening mode immediately after the crack initiation; and (3) energy release rate for the crack. The debonding propagation is specified by the following two conditions: (1) Stress distribution before the crack initiation; and (2) energy release rate for the debonding. There are chances at the same time that both the crack and the debonding may occur and/or that two cracks may initiate into both two materials. However, one phenomenon of the failure must occur in general at the debonded tip. In these cases, the fracture phenomenon is evaluated and specified by their energy release rates in comparison with their critical ones for the crack and the debonding. Stress distribution after the crack initiation is evaluated by the solution for the symmetrical shape with the same crack lengths at an end of the bonded interface in each material.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cook, T. S., and Erdogan, F. (1972). “Stress in bonded materials with a crack perpendicular to the interface.” Int. J. Engrg. Sci., 10, 677–697.
2.
Dundurs, J. (1969). “Discussion: ‘Edge‐bonded dissimilar orthogonal elastic wedges under normal and shear loading’ by D. B. Bogy.” J. of Appl. Mech., 36, 650–652.
3.
England, A. H. (1965). “A crack between dissimilar media.” J. of Appl. Mech., 32, 400–402.
4.
Hasebe, N. (1979). “Uniform tension of a semi‐infinite plate with a crack at an end of a stiffened edge.” Ingenieur‐Archiv, Germany, 48, 129–141.
5.
Hasebe, N., and Inohara, S. (1980). “Stress analysis of a semi‐infinite plate with an oblique edge crack.” Ingenieur‐Archiv, Germany, 49, 51–62.
6.
Hasebe, N., Okumura, M., and Nakamura, T. (1987a). “Stress analysis of a debonding and a crack around a circular rigid inclusion.” Int. J. Fracture, 32, 169–183.
7.
Hasebe, N., Okumura, M., and Nakamura, T. (1987b). “A debonding and a crack on a circular rigid inclusion subjected to rotation.” Int. J. Fracture, 33, 195–208.
8.
Hasebe, N., Okumura, M., and Nakamura, T. (1988). “Mixed boundary value problem of simple support type in plane elasticity,” Acta Mechanics, 73, 199–212.
9.
Hasebe, N., Okumura, M., and Nakamura, T. (1989). “Frictional punch and crack in plane elasticity.” J. Engrg. Mech., ASCE, 115(6), 1137–1149.
10.
Hasebe, N., Okumura, M., and Nakamura, T. (1990). “Partially bonded bi‐material plane under tension.” J. Engrg. Mech., ASCE, 116(9), 2017–2034.
11.
Muskhelishvili, N. I. (1963). Some basic problems of the mathematical theory of elasticity, 4th Ed., Noordhoff, Groningen, the Netherlands.
12.
Okumura, M., Hasebe, N., and Nakamura, T. (1988). “A crack and a debonding at an end of a simple support in plane elasticity.” Acta Mechanica, 74, 139–153.
13.
Okumura, M., Hasebe, N., and Nakamura, T. (1990). “Crack due to wedge‐shaped punch with friction.” J. Engrg. Mech., ASCE, 116(10), 2173–2185.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Jun 1, 1992
Published in print: Jun 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.