Analysis of plane wave reflection phenomenon from the surface of a micro-mechanically modeled piezomagnetic fiber-reinforced composite half-space
Abhishek Kumar Singh, Shruti Mahto, Sayantan Guha
Abstract
In the present article, firstly, the micro-mechanical model of piezomagnetic fiber-reinforced composite (PMFRC), composed of CoFe2O4 fiber-epoxy matrix combination, is presented employing the Strength of Materials (SM) and Rule of Mixtures (RM) techniques. Secondly, the impacts of varying fiber-volume fractions (Ωf) on the energies carried by different reflected waves in the PMFRC are analytically studied. Due to the incidence of a quasi-longitudinal wave, three reflected waves viz. quasi-longitudinal (qP), quasi-transverse (qSV), and magneto-acoustic (MA) waves are generated in the PMFRC half-space. Propagation angles of all reflected waves are analyzed considering incident qP and qSV waves, and the existence of critical angles is established for the latter case. The closed-form expressions of amplitude ratios of all reflected waves are derived by employing appropriate magneto-mechanical boundary conditions and using Cramer's rule. In order to validate the numerical results, the expressions of energy ratios of all reflected waves and interaction energy are derived, which exhibit the influence of existing parameters. In doing so, the Law of Conservation of Energy is also established. The existence of a critical value of Ωf is discovered in the range (0.6,0.8), beyond which the magnitudes of energies carried by the reflected waves change drastically.