Unified original and iteration minimum energy bounds on longitudinal-transverse elastic constants of transversely isotropic unidirectional composites

Pham, Duc-Chinh

doi:10.2140/jomms.2022.17.421

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Unified original and iteration minimum energy bounds on longitudinal-transverse elastic constants of transversely isotropic unidirectional composites

Duc-Chinh Pham

Vol. 17 (2022), No. 5, 421–440

DOI: 10.2140/jomms.2022.17.421

Abstract

We study the macroscopic (effective) longitudinal-transverse elastic constants appearing in the mixed longitudinal transverse-bulk stress-strain modes of the unidirectional multicomponent materials that are microscopically and macroscopically isotropic in the transverse plane. Unified systems of original minimum energy and iteration bounds on all 6 effective longitudinal-transverse elastic constants are derived. Illustrating numerical examples involving the two- and three-component cases are given.

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Keywords

$n$-component transversely isotropic unidirectional composites, effective longitudinal-transverse elastic constants, minimum energy bounds, iteration bounds

Milestones

Received: 3 February 2022

Revised: 27 June 2022

Accepted: 9 July 2022

Published: 22 February 2023

Authors

Duc-Chinh Pham
Institute of Mechanics VAST Hanoi Vietnam

Vol. 17, No. 5, 2022