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...

Celý popis

Uložené v:
Podrobná bibliografia
Hlavní autori: Mei, Chiang C, Vernescu, Bogdan
Médium: E-kniha
Jazyk:English
Vydavateľské údaje: Singapore World Scientific Publishing Co. Pte. Ltd 2010
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Vydanie:1
Predmet:
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
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí: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