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Homogenization methods for multiscale mechanics
by
Mei, Chiang C
, Vernescu, Bogdan
in
Applied Mathematics
/ Applied Physics
/ Homogenization (Differential equations)
/ Mathematical physics
/ Mechanics, Applied
/ Pure Mathematics
2010
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Do you wish to request the book?
Homogenization methods for multiscale mechanics
by
Mei, Chiang C
, Vernescu, Bogdan
in
Applied Mathematics
/ Applied Physics
/ Homogenization (Differential equations)
/ Mathematical physics
/ Mechanics, Applied
/ Pure Mathematics
2010
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eBook
Homogenization methods for multiscale mechanics
2010
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Overview
In many physical problems several scales are present in space or time, caused by inhomogeneity of the medium or complexity of the mechanical process. A fundamental approach is to first construct micro-scale models, and then deduce the macro-scale laws and the constitutive relations by properly averaging over the micro-scale. The perturbation method of multiple scales can be used to derive averaged equations for a much larger scale from considerations of the small scales. In the mechanics of multiscale media, the analytical scheme of upscaling is known as the Theory of Homogenization.
Publisher
World Scientific Publishing Co. Pte. Ltd,World Scientific Publishing Company,WORLD SCIENTIFIC,WSPC
Subject
ISBN
9814282448, 9789814282444
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