UNIFIED ORIGINAL AND ITERATION MINIMUM ENERGY BOUNDS ON LONGITUDINAL-TRANSVERSE ELASTIC CONSTANTS OF TRANSVERSELY ISOTROPIC UNIDIRECTIONAL COMPOSITES

摘要

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.