A Locally-Exact Homogenization Approach for Periodic Heterogeneous Materials.

Elements of the homogenization theory are utilized to develop a new micromechanics approach for unit cells of periodic heterogeneous materials based on locally-exact elasticity solutions. Closed-form expressions for the homogenized moduli of unidirectionally-reinforced heterogeneous materials are obtained in terms of Hill's strain concentration matrices valid under arbitrary combined loading, which yield the homogenized Hooke's law. Results for simple unit cells with off-set fibers, which require the use of periodic boundary conditions, are compared with corresponding finite-element results demonstrating excellent correlation. [ABSTRACT FROM AUTHOR]