On the solution of the dynamic fracture mechanics problem for a viscoelastic medium. I. Maxwell's environment
The problem of a dynamically loaded body with a crack is considered. The material is assumed to be viscoelastic, subject to the Maxwell constitutional relations. A crack is considered immobile. An algorithm for solving the problem based on the methods of lines and finite elements is constructed. The main result of the solution is the dependence of the specific released energy from time.