The effect of inextensibility on elastic surface waves |
| |
Authors: | AM Whitworth P Chadwick |
| |
Institution: | School of Mathematics and Physics, University of East Anglia, Norwich, U.K. |
| |
Abstract: | It is shown that when the complications associated with material anisotropy are absent a simple exact analysis can be given of the effect of unidirectional inextensibility on the propagation of surface waves in a semi-infinite elastic body. Provided that the direction of inextensibility e is not orthogonal to either m or m Λ n (m being the outward unit normal to the traction-free boundary of the body and n the wave normal), a unique surface wave exists with displacement everywhere orthogonal to e. The surface-wave solution is assembled from inhomogeneous plane waves in the usual manner, but a novel feature is the presence of a degenerate wave producing no displacement yet perturbing sinusoidally the tension in the inextensible fibres. When the aforementioned provisos are not met the surface wave either degenerates continuously into a shear wave (when , ceases to exist (when , or merges smoothly into a Rayleigh wave (when , the inextensibility constraint then being inoperative). |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|