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

Date

2001-12-01

Author

Abu-Alshaikh, I
Turhan, D
Mengi, Y

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

147
views

0
downloads

Propagation of two-dimensional transient out-of-plane shear waves in multilayered viscoelastic media is investigated. The multilayered medium consists of N different 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 fixed. 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 different locations. These curves reveal clearly the scattering effects caused by the reflections and refractions of inclined waves at the boundaries and at the interfaces of the layers. The curves also display the effects of viscous damping in the wave profiles. By suitably adjusting the material constants, the curves for the case of elastic layers are also obtained as a special case. The curves farther show that the numerical technique applied in this study is capable of predicting the sharp variations at the wave fronts.

Subject Keywords

Transient, Wave propagation, Out-of-plane shear, Viscoelastic, Layered media

URI

https://hdl.handle.net/11511/67092

Journal

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

DOI

https://doi.org/10.1016/s0020-7403(01)00063-7

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Transient waves in viscoelastic cylindrical layered media Abu Alshaikh, I; Turhan, D; Mengi, Y (2002-09-01) Propagation of two-dimensional transient waves in viscoelastic cylindrical layered media is investigated. The cylindrical multilayered medium consists of N different isotropic, homogeneous and linearly viscoelastic layers with two discrete relaxation times. A numerical technique which combines the complex Fourier series with the method of characteristics is employed to obtain the solutions. The numerical results are displayed in curves denoting the variations of the stress and displacement components with t...
Two-dimensional transient wave propagation in viscoelastic layered media Abu Alshaikh, I; Turhan, D; Mengi, Y (Elsevier BV, 2001-07-26) Propagation of two-dimensional transient waves in multilayered viscoelastic media is investigated. The multilayered medium consists of N different isotropic, homogeneous and linearly viscoelastic layers with more than one discrete relaxation time. The top surface of the layered medium is subjected to dynamic in-plane surface tractions; whereas, the lower surface is free or fixed. A numerical technique which combines the Fourier transform with the method of characteristics is employed to obtain the solutions...
LONGITUDINAL ELASTIC-WAVE PROPAGATION AND ENERGY FLUX AT A DISCONTINUITY OF 2 DISSIMILAR SEMIINFINITE CIRCULAR RODS Yıldırım, Raif Orhan (1994-10-01) Elastic wave propagation through an area discontinuity of two dissimilar, bonded, semi-infinite circular rods is investigated analytically. In particular, the variations of the coefficients of stress reflection and transmission are determined in terms of the nondimensional cross sectional area and mechanical impedance parameters. The coefficients of energy flux reflection and transmission are also included. Then, the case is generalized to include a rigid mass attached at the discontinuity.
Investigation of inviscid shear layer by linear stability theories Topbaş, Ahmet Emre; Özgen, Serkan; Department of Aerospace Engineering (2018) ThisIn this thesis, spatial and temporal instabilities of the inviscid shear layer flows are investigated using the linear stability theory. Utilizing the small and wavy disturbances, Rayleigh equation was derived from the Helmholtz vorticity equation. For the hyperbolic-tangent velocity profile, the Rayleigh equation was solved by using space and time amplification approaches by an in-house Fortran code involving RK4 and simplex method algorithm. Eigenvalues of various disturbance frequencies were calculat...
Variation of the elastic constants of tourmaline with chemical composition Tatli, Ali; Galioğlu Özkan, Yeliz (Springer Science and Business Media LLC, 1987-2) Elastic wave velocities and lattice parameters of five tourmaline specimens with different chemical compositions have been measured. The piezoelectric effects on the elastic constants have been found to be small and can be neglected. Variations of the elastic wave velocities and elastic constants of the different tourmaline specimens indicate that: (i) partial substitution of Al by Fe in the structure decreases the shear wave velocities, (ii) replacement of Na by Ca increases the resistance of the structure...

Citation Formats

I. Abu-Alshaikh, D. Turhan, and Y. Mengi, “Propagation of transient out-of-plane shear waves in viscoelastic layered media,” INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, pp. 2911–2928, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67092.