AN INTEGRAL-EQUATION METHOD FOR ELASTOSTATICS OF PERIODIC COMPOSITES

An interface integral equation is presented for the elastostatic probl em in a two-dimensional isotropic composite. The displacement is repre sented by a single layer force density on the component interfaces. In a simple numerical example involving hexagonal arrays of disks the fo rce density is expanded in a Fourier series. This leads to an algorith m with superalgebraic convergence. The integral equation is solved to double precision accuracy with a modest computational effort. Effectiv e mod;li are extracted both for dilute arrays where previously three d igit accurate results were available, and for dense arrays where previ ously no results were available.