Green's function for torsional waves in a cylindrically monoclinic material

Two exact Green's functions for impulsive and time-harmonic torsional waves in a monoclinic material are presented. The impulsive Green's function is expressed in the closed form of simple algebraic functions and its wave front shape is a torus with inclined elliptic cross section. The time-harmonic Green's function is also obtained exactly, but in the form of definite integral. Time development of the wave front for the impulsive wave and amplitude contours for the time-harmonic wave are illustrated.