Vv. Zozulya et Nv. Fenchenko, Influence of contact interaction between the sides of crack on characteristics of failure mechanics in action of P- and SV-waves, INT AP MECH, 35(2), 1999, pp. 175-180
The effect of contact between the sides of a rectilinear crack in the plane
R-2 = {x: x(3) = 0} on the characteristics of the failure mechanics is stu
died for the case in which the crack is affected by harmonic tensile-compre
ssion waves and shifts. The surfaces of the crack may assume any orientatio
n relative to the direction of propagation of the waves. The presence of fr
iction in the zone of contact of the sides of the crack is taken into accou
nt. The method of solving the problem stated is iterative in nature and is
based on the solution of a sequence of boundary integral equations for the
Fourier coefficients of the displacement discontinuity vector and the conta
ct force vector. It is also corrected at each step of the solution so as to
satisfy one-sided restrictions in the zone of contact.