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)
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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