Free Vibration of Cracked MEE FG Plates Resting on Elastic Foundations Using Phase-Field Simulation

Abstract

In this study, free oscillation of a cracked smart plate made of magneto-electro-elastic functionally graded materials (MEE-FGMs) lying on a Pasternak elastic foundation is investigated according to high-order shear deformation theory (HSDT). The MEE properties of the functionally graded plate are assumed to vary through the thickness direction and are estimated with the power-law rule. The cracks are in the center of the sheet with variable length and angle of inclination. Phase-field theory is used to simulate the crack state of smart plates. A detailed parametric analysis was performed to evaluate the effects of electric and magnetic fields, thickness ratio, power-law index, elastic foundation, and crack geometry on the free vibrational properties of magneto-electro-elastic functionally graded plates.