The propagation of waves along circumferential direction in homogeneous isotropic micropolar cylindrical curved plate has been investigated. Helmholtz decomposition technique has been used to simplify the model and using separation of variable method, the resulting equations have been solved. Mathematical modeling of the problem to obtain dispersion curves for curved isotropic plate leads to coupled differential equations and solutions are obtained by using Bessel functions. The frequency equations connecting the frequency with circumferential wave number and other physical parameters are derived for stress free cylindrical plate. This kind of study is significant for ultrasonic non-destructive inspection of large diameter pipes, which aids in the health monitoring of ailing infrastructure. Inducing circumferential waves make detection of longitudinal stress-corrosion cracks more efficiently; hence the study of micropolar wave propagation in the circumferential direction in a pipe wall is essential. Numerical solutions are obtained and presented graphically for a magnesium crystal in order to illustrate theoretical development.
Micropolar, Frequency equations, Phase velocity, Circumferential wave number
