Elastic Solids with Microdefects

For a “representative volume element” (RVE) consisting of an elastic (linear or nonlinear) matrix and microdefects, relations between the overall stress and strain potentials and the corresponding local quantities are developed and discussed. Results are specialized to RVE’s with a linearly elastic matrix. Illustrations are given for micro-defects consisting of cavities, cracks, and elastic inclusions, using three averaging schemes: a scheme based on noninteracting dilute distribution of defects, the self-consistent method, and the differential scheme.

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