2ND-ORDER EFFECTS IN THE CRITERIA FOR THE START OF CRACKS IN IDEALLY BRITTLE HYPERELASTIC ELASTOMERS

Authors
Citation
Ba. Zhukov, 2ND-ORDER EFFECTS IN THE CRITERIA FOR THE START OF CRACKS IN IDEALLY BRITTLE HYPERELASTIC ELASTOMERS, Journal of applied mathematics and mechanics, 60(5), 1996, pp. 839-843
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
60
Issue
5
Year of publication
1996
Pages
839 - 843
Database
ISI
SICI code
0021-8928(1996)60:5<839:2EITCF>2.0.ZU;2-#
Abstract
The formulation and solution of a plane problem in the theory of elast icity for a hyperelastic medium containing a crack are given. Expressi ons are obtained for the energy integral in order to investigate the c onditions for the start of a crack. Special cases in the form of cleav age and transverse shear cracks are considered. Second-order effects d o not show up in the case of cleavage cracks, but in the case of trans verse shear cracks they show up in the form of a deviation of the crac k from the initial direction, which agrees with observations. (C) 1997 Elsevier Science Ltd.