Circular crested waves in a microstretch elastic plate

The propagation of circularly crested waves in a homogeneous isotropic microstretch elastic plate subjected to stress free conditions is investigated. The secular equations for circular homogeneous isotropic microstretch elastic plate in closed form for symmetric and skew symmetric wave modes propagation are derived. The amplitudes of displacement components, microrotation and microstretch are also obtained analytically. The results for micropolar elastic and elastic materials have been obtained as particular cases. The special cases such as short wavelength, thin plate waves of secular equations are deduced. and discussed. The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components, microrotation and microstretch in case of fundamental symmetric and skew symmetric modes are presented graphically. The analytical and numerical results are found to be in close agreement.