Elastodynamic Behavior of Axisymmetric Vibrations in Micropolar Thermoelastic Cubic Crystal Plate

摘要

The present paper is aimed at studying elastodynamic behavior of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The upper and lower surfaces of the plate are subjected to stress free thermally insulated conditions. The secular equations for symmetric and skew-symmetric wave modes are derived. The amplitudes of displacement components, microrotation and temperature distribution are also computed during the symmetric and skew-symmetric motion of the plate. Finally, in order to illustrate and verify the analytical developments, numerical solution of secular equation corresponding to stress free thermally insulated micropolar thermoelastic cubic crystal plate is carried out for magnesium crystal material.