Optimal Shape of Fibers in Transmission Problem

In classical theories of homogenization and localization of composites the effect of shape of inclusions is not taken into account. This is probably done because of very small fibers in classical composites based on epoxy matrix. Applying more precise theoretical and numerical tools appears that the...

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Bibliographic Details
Published in:Computer modeling in engineering & sciences 2012, Vol.87 (3), p.207-223
Main Authors: Prochazka, P P, Valek, M J
Format: Article
Language:English
Subjects:
Composite materials
Computer simulation
Cross sections
Fibers
Homogenizing
Inclusions
Localization
Material properties
Mathematical models
Optimization
Shape effects
Shape optimization
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Summary:In classical theories of homogenization and localization of composites the effect of shape of inclusions is not taken into account. This is probably done because of very small fibers in classical composites based on epoxy matrix. Applying more precise theoretical and numerical tools appears that the classical theories desire corrections in this direction. Today many types of materials their fiber are much bigger and with various material properties are used and behave as typical composites. They enable producers to create the fiber cross-sections and model them in various shapes, so that it is meaningful to carry out the optimization. In the paper optimal shape of fibers is sought to admit as small amount of heat energy to pass through a composite as the constituents allow.
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2012.087.207