Application of higher-order theories on the propagation of bulk waves in bio-composite plates lying on Kerr substrate

Because of the critical usage of biomedical applications, their constitutive materials must possess specific properties to satisfy the environmental conditions. Consequently, the selection of the best materials is one of the most important subjects in the manufacturing industry. Bio-composites are outstanding alternatives to customary biomaterials in biomedical applications owing to their supreme material properties. On the other hand, mechanical analyses including static and dynamic analyses of bio-systems should be carried out to optimize the designed biomedical applications like medical implants. Thus, wave dispersion analysis of functionally graded (FG) bio-composite plate could serve for design goals of biomedical structures. In this investigation, the influence of various higher-order shear deformation theories of the plate on the dispersion of bulk waves in FG bio-composite plate lying on Kerr foundation has been explored for the first time. The constituent materials of FG structure are gold alloy as metal phase and hydroxyapatite as ceramic phase. In order to compute the effective properties of the studied structure, the upper Hashin-Shtrikman homogenization scheme has been implemented. Higher-order theories and Hamilton’s principle have been applied to derive the governing equations and the obtained equations are analytically solved via a harmonic function. Eventually, the sensitivity of various important parameters has been surveyed and discussed comprehensively. The obtained outcomes have been indicated in detail.