An integral equation method for elastostatics of periodic composites. (English) Zbl 0870.73042

Summary: An interface integral equation is presented for the elastostatic problem in a two-dimensional isotropic composite. The displacement is represented by a single layer force density on the component interfaces. In a simple numerical example involving hexagonal arrays of disks, the force density is expanded in a Fourier series. This leads to an algorithm with superalgebraic convergence. The integral equation is solved with double precision accuracy and with a modest computational effort. Effective moduli are extracted both for dilute arrays where previously three digit accurate results were available, and for dense arrays where previously no results were available.


74E30 Composite and mixture properties
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