SH wave in a cylindrically anisotropic elastic solid A general solution for a point source

✍ Scribed by Kazumi Watanabe; Robert G. Payton

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 768 KB
• Volume: 25
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(96)00041-8

✦ Synopsis

Propagation of a transient SH wave in a cylindrically anisotropic solid is considered and an exact solution is obtained as a general solution for an arbitrary cylindrical anisotropy. In the special case, where the ratio of radial and circumferential velocity is an integer or one half, the solution is reduced to a closed form involving simple algebraic functions. When the velocity ratio is not an integer, a circular wavefront appears as if the wave were scattered by a wedge. This is because the wavefront, when it first hits the origin, forms a wedge-like angle there. This new wave phenomenon was originally found by Bostrom et al. [6]. But, the present paper gives its analytical base and the general feature of wave phenomena in the cylindrical anisotropy.