Fundamental solutions related to the stress intensity factors of modes I, II and III. The asymmetric problem

The Green's functions are defined as a solution to the problem of an elastic, transversely isotropic body with a penny-shaped or an external crack subjected to asymmetric vertical and in-plane lateral concentrated forces distributed along a circumference. Exact solutions are presented in a closed form for the stress intensity factors under each type of ring forces being assumed as fundamental solutions.