STUDY ON THE NATURAL PERIOD OF A RECTANGULAR PLATE INCLUDING AN INTERFACE CRACK WITH PROCESS ZONES

Abstract

In this paper, an analytical method for obtaining natural period of a rectangular plate with an interface crack between two dissimilar elastic half planes is proposed. A process zone is formed along the interface between the physical crack and the continuous part. Then, the support type of right-angled two edges in the interface is simple support, and parallel two edges in it are support type of three modes (simple support, fix support and free). Features of the obtained theoretical solution for a plate are that only the deflection has a gap of the finite term Fourier series shape along a crack line, and the deflection continues along the other line. From some numerical calculation examples, an estimated formula that can convert the length of the process zone under the natural period constancy condition to the equivalent crack length is presented.