THE INTERFACE ANTICRACK AND GREENS-FUNCTIONS FOR INTERACTING ANTICRACKS AND CRACKS ANTICRACKS

Citation
X. Markenscoff et al., THE INTERFACE ANTICRACK AND GREENS-FUNCTIONS FOR INTERACTING ANTICRACKS AND CRACKS ANTICRACKS, Journal of applied mechanics, 61(4), 1994, pp. 797-802
Citations number
13
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
61
Issue
4
Year of publication
1994
Pages
797 - 802
Database
ISI
SICI code
0021-8936(1994)61:4<797:TIAAGF>2.0.ZU;2-B
Abstract
Solution is obtained for an anticrack-a bonded rigid lamella inclusion -at the interface between two isotropic elastic solids. The problem is formulated in terms of distributed line-loads at the anticrack which constitute the Green's functions and the system of the governing coupl ed integral equations is solved analytically in closed form for the ca ses of uniform biaxial tension and of anticracks loaded by concentrate d forces or moment. Solutions are also obtained by the interaction of an interface anticrack with a first-order singularity (concentrated fo rce and dislocation) and second-order singularity (doublet of forces) at the interface. In the latter case the limit as the second-order sin gularity approaches the tip of the anticrack does not exist, but neith er can a finite limit be obtained by rescaling as in the homogeneous m aterial. The solution of the interface anticrack exhibits the oscillat ory singularities that appear at interface cracks which indicates that the overlapping fo the displacement on the crack faces is not the rea son for this anomalous behavior. Moreover, it should be pointed out th at the material condition that the stress does not exhibit oscillatory behavior is not the same as for interface cracks: for anticracks it i s kappa(1) (1 - beta) = kappa(2) (1 + beta) while for cracks it is bet a = 0.