Propagation of transient out-of-plane shear waves in viscoelastic layered media

✍ Scribed by I. Abu-Alshaikh; D. Turhan; Y. Mengi

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 302 KB
• Volume: 43
• Category: Article
• ISSN: 0020-7403
• DOI: 10.1016/s0020-7403(01)00063-7

✦ Synopsis

Propagation of two-dimensional transient out-of-plane shear waves in multilayered viscoelastic media is investigated. The multilayered medium consists of N di erent isotropic, homogeneous and linearly viscoelastic layers with more than one discrete relaxation time. The top surface of the layered medium is subjected to dynamic out-of-plane shear tractions; whereas, the lower surface is free or ÿxed. A numerical technique is employed to obtain the solution, which combines the Fourier transform with the method of characteristics. The numerical results are displayed in curves denoting the variations of the shear stresses with time at di erent locations. These curves reveal clearly the scattering e ects caused by the re ections and refractions of inclined waves at the boundaries and at the interfaces of the layers. The curves also display the e ects of viscous damping in the wave proÿles. By suitably adjusting the material constants, the curves for the case of elastic layers are also obtained as a special case. The curves further show that the numerical technique applied in this study is capable of predicting the sharp variations at the wave fronts.