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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
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.

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