Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
790615 | Journal of Applied Mathematics and Mechanics | 2006 | 10 Pages |
Abstract
An asymptotic approach to solving problems of the identification of a rectilinear crack of small relative size is presented. The solution of the direct problem is reduced to solving a boundary integral equation. Using the proposed approach, its kernel is investigated, and the main part of the asymptotic form is singled out. The inverse problem of determining the crack parameters from prescribed information on the amplitudes of the displacement on the boundary of a layer is solved. Transcendental equations are obtained, from which the characteristics of a crack are determined in stages. Numerical results of the solution of the inverse problem are presented.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
A.O. Vatul'yan, O.V. Yavruyan,