Degenerate scale problem arising from curved rigid line inclusion

Abstract

SUMMARYThis paper investigates the degenerate scale problem arising from the curved rigid line inclusion. The problem is modeled by a continuous distribution of the body force along the prospective site of the curve. In the first step, the problem is formulated on the configuration of the degenerate scale, and an integral equation is suggested. Later, after using a modification for the coordinates, the problem is solved in a modified scale or in the normal scale. From the solution of the integral equation in the normal scale, the degenerate scale will be obtained immediately. Finally, several numerical examples are given. From computed results it is proved that the degenerate scale depends only on the configuration of the curve and does not depend on the initial normal scale used.