Scattering of Harmonic Waves by a Cavity in Cross-Anisotropic Media: Complex Functions Approach

Abstract eng:
An analytical method for calculation of dynamic response of a cylindrical cavity in infinite cross-anisotropic media using complex functions theory is presented. The basis of the method is grounded on solving the wave equations in the complex plane and frequency domain. Solution of the partial differential equations is found in series of the Hankel functions with unknown coefficients. Applying appropriate boundary conditions of the problem, a set of algebraic equations are achieved. Solving these equations, the unknown coefficients and consequently all desirable parameters such as stress, strain and displacement are calculated. Numerical results including stress and displacement fields in vicinity of the cylinder subjected to the harmonic waves are presented. Also the effects of important cross-anisotropic parameters are mentioned.

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