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
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.