NOVEL FORMULATIONS OF MICROSCOPIC BOUNDARY-VALUE PROBLEMS IN CONTINUOUS MULTISCALE FINITE ELEMENT METHODS
B. Mercer, K.K. Mandadapu and P. Papadopoulos Comp. Meth. Appl. Mech. Engrg., 268, pp. 268-292, (2015)

Abstract
This article explores the use of a homogenization method inspired by the classical Irving-Kirkwood procedure in the continuous multiscale modeling of elastic solids within the context of the finite element method. This homogenization method gives rise to a broad range of allowable boundary conditions for the RVE, which, in turn, yield a rich spectrum of estimates of the macroscopic stress response for two representative problems involving heterogeneous elastic bodies.


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