We consider the n-component transversely isotropic unidirectional elastic composites, the longitudinal axis of which is parallel to those of the transversely isotropic components as well as the generators of the cylindrical phase boundaries between them. From the minimum energy and complementary energy principles, with appropriate constant strain and piece-wise constant stress trial fields, optimization and iteration techniques, a set of bounds for the macroscopic (effective) longitudinal elastic constants of the composites (including the simple lower arithmetic average estimate for longitudinal Young modulus E^eff ≥ E_V) are constructed. Numerical examples are provided to illustrate the obtained results.

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This Issue

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences cover image

July 2020

Volume 476Issue 2239

Article Information

DOI:https://doi.org/10.1098/rspa.2019.0752
PubMed:32831600
Published by:Royal Society
Print ISSN:1364-5021
Online ISSN:1471-2946

History:

Manuscript received02/11/2019
Manuscript accepted25/06/2020
Published online29/07/2020
Published in print29/07/2020

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