Homogenization methods for multiscale mechanics

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 avera...

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Bibliographic Details
Main Authors: Mei, Chiang C, Vernescu, Bogdan
Format: eBook
Language:English
Published: Singapore World Scientific Publishing Co. Pte. Ltd 2010
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Edition:1
Subjects:
Applied Mathematics
Applied Physics
Homogenization (Differential equations)
Mathematical physics
Mechanics, Applied
Pure Mathematics
Composites
Inhomogeneous Media
Multiple Scale Physics
Homogenization, Multiscale Analysis, Asymptotic Analysis
ISBN:9814282448, 9789814282444
Online Access:Get full text
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Summary: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.
ISBN:9814282448
9789814282444
DOI:10.1142/7427