Yu.A.Morozov, G.Ya.Popov
Analysis of wave field radiated by center of rotation in the unbounded elastic medium weakened with finite cylindrical crack

Acoustic bulletin, Vol. 2 1, (1999) p.50-59
A problem on investigation of wave field in mentioned medium by method of discontinuous solutions has been reduced to one-dimensional integro-differential equation over the finite interval. For its solution the method of orthogonal polynomials has been used, which in its turn allowed to reduce the problem to solution of the infinite system of algebraic equations. This last has been solved using the technique of reduction that is being substantiated in the paper. On base of obtained solution the directivity pattern in far field has been derived and sterss intensity factor has been evaluated.
cylindrical crack, center of rotation, sound generation, stress intensity factor