Cohesive solutions of intersonic moving dislocations

A class of cohesive solutions of moving glide dislocations with intersonic speeds was derived on the basis of the fundamental equation of a moving dislocation introduced by Weertman in conjunction with a proposed generalized Bilby-Cottrell-Swinden-Dugdale model. A straight weak path within an infinite elastic plate was assumed in the model. The involved Cauchy integral and corresponding eigenvalue problem were solved using the algorithms introduced by Muskhelishvili and by Weertman. The solutions demonstrated that the intersonic speed region can be divided into two subdomains and steady-state propagation occurs within the subdomain.