Plane-stress asymptotic fields for interface crack between elastic and pressure-sensitive dilatant materials

Abstract

In this paper, the plane-stress interface crack-tip fields between pressure-sensitive dilatant material and linear elastic material are investigated. Applying the stress–strain relation for the pressure-sensitive dilatant material, we have obtained an exact asymptotic solution of plane-stress tip fields for two types of cracks, one of which is along the interface and another is perpendicular to the interface between the linear elastic material and pressure-sensitive dilatant material. The obtained fields satisfy the condition of the continuity of tractions at the interface and the traction-free conditions on the crack faces. For the first type of crack, the eigenvalue s is irrelevant to the pressure sensitivity parameter μ and is equal to −1/( n+1), which is the eigenvalue of the HRR fields for homogeneous media without pressure sensitivity. While in the second type of crack, both s and μ increase simultaneously when n is fixed, but s tends to zero if μ is approaching to μ lim.