Upscaling Heterogeneous Media by Asymptotic Expansions
Publication: Journal of Engineering Mechanics
Volume 128, Issue 8
Abstract
Upscaling methods aim at representing the evolution of a given physical process in a given heterogeneous medium by an equivalent macroscopic continuous behavior. In this paper, we recall the main features of the method of homogenization by multiscale asymptotic expansions. To illustrate the method, a few illustrative examples are revisited concerning heat transfer in composite materials (memory effects due to highly different conductivities of the components and the effect of contact thermal resistance in between the components) and fluid flow through rigid porous media (transient flow and flow in noninertial porous media).
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Published In
Journal of Engineering Mechanics
Volume 128 • Issue 8 • August 2002
Pages: 817 - 822
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Mar 25, 2002
Accepted: Apr 1, 2002
Published online: Jul 15, 2002
Published in print: Aug 2002
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