Abstract

Abstract : During the period covered by this report, significant advances in several diverse areas have been achieved as outlined below under separate headings: (1) Damage Mechanics, (2) Functionally gradient Materials with Defects, (3) Problems in Heterogenization and (4) Eshelby's Energy Momentum Tensor. It is experimentally observed that brittle materials and structural elements fabricated with them, undergo development of damage (growing microcracks, microvoids, grain boundary sliding, etc.) as the severity of environment (e.g. loads) increases, and before gross fracture sets in. The heterogenization technique is a procedure, recently developed with partial support of AFOSR, of expressing the solution to heterogeneous problem in terms of the solution to the corresponding homogeneous problem.

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