Abstract: A material with an arbitrary initial crack is submitted
to an on-boundary vibrating force of density in a non resonant situation. New
singular modes of the type appear at the crack tip and the
displacement field is a superposition of the classical regular and singular
modes encountered in studies by Leguillon and Sanchez-Palencia [6, 7] and these
new singular modes, generated by the surface vibratory force, lead to
microcracks generation at the initial crack tip forced by a damaging process due
to the vibrating solicitation. In this paper, we focus on the analytic
resolution and the modelisation of the matrix mode and the form of the analytical
solution about the radial function and the angular ones and
Keywords and phrases: displacement, crack, propagation, singularities, stress intensity factors.
