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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.

MSC:

74E30 Composite and mixture properties
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