Mathematics Subject Classification
Composite materials: 74A40
Homogenization: 35B27; 74Qxx; 76M50; 78M40; 80M40
Synonyms
Composite materials: composites; Homogenization: mathematical, asymptotic, or two-scale homogenization; G-convergence
Short Definition
A composite material is an effectively solid, heterogeneous mixture of two or more distinct, spatially separate, and fine-grained constituent materials with significantly different physical or chemical properties. In mathematical terms, homogenization of a composite material is the process of replacing a model of the mixture by a model of a homogeneous material that preserves approximately one or more physical properties of the composite.
Description
The constituent materials of a composite do not dissolve or merge completely into each other. Instead, they can be physically identified and exhibit an interface between them. Naturally occurring composites include most consolidated porous materials, such as permeable rocks, wood, bones,...
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Arbogast, T. (2015). Composite Materials and Homogenization. In: Engquist, B. (eds) Encyclopedia of Applied and Computational Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70529-1_491
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DOI: https://doi.org/10.1007/978-3-540-70529-1_491
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