1. Laminated uniformity and homogeneity.
- Author
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Epstein, Marcelo
- Subjects
- *
HOMOGENEITY , *LAMINATED materials , *EUCLIDEAN metric , *ISOMORPHISM (Crystallography) , *COMPOSITE materials , *RIEMANNIAN geometry - Abstract
Highlights • Laminates and bundles are important cases of functionally graded materials. • Classical inhomogeneity theory is not able to treat defects in these materials. • A novel definition of inhomogeneity in laminates and bundles is introduced. Abstract Laminates and bundles are common particular cases of functionally graded materials (FGMs). Within this class of non-uniform media, laminates and bundles are distinguished by a property of partial uniformity along surfaces or lines. The question addressed in this paper is whether this property can be exploited to define rigorously a notion of homogeneity eventually leading to a quantitative measure of a density of continuous defects. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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