Abstract

Using the constitutive equation of rubber-like materials given by Gao (1990, Theoretical Appl. Fract. Mech.14, 219–231), this paper investigates the problem of a wedge (or notch) under the compression of a line load at its tip. The problem was treated as a plane strain case and the large deformation was taken into account. The asymptotic solution to the stress-strain field near a wedge apex (or a notch corner) is obtained. It is revealed that under compression of a line load, a notch corner will be locally closed i.e. the notch surface will contact each other. Under a similar load, the wedge tip will be shrivelled to form a locally closed notch i.e. the V-shaped wedge apex will become W-shaped.

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