Novel Formulations of Microscopic Boundary-Value Problems in Continuous Multiscale Finite Element Methods

نویسندگان

  • Brian S. MERCER
  • Kranthi K. MANDADAPU
  • Panayiotis PAPADOPOULOS
چکیده

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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تاریخ انتشار 2014