Transverse waves incident at the free surface of an initially stressed dissipative half-space

Abstract

In this work, an attempt is done to apply Biot`s incremental deformation theory to find out the effects of initial stresses on the reflected transverse waves (S-waves) at a free surface of dissipative half-space medium. Equations of motion and its corresponding solutions are derived in lights of Biot`s theory. The impact of initial stresses and medium`s dissipation on the reflected transverse wave are studied in detail. Numerical calculations carried out using Aswan geological crustal structure and the results are presented graphically. Numerical findings reveal that, the initial stresses and the medium dissipation effects the reflection coefficients of transverse wave considerably. In addition, it has been noted that, the phase velocity decreases considerably as the initial stress parameter increases. Since the crust of the Earth, , is dissipative and initially stressed medium, thus understanding the effects of these parameters may help seismologists to get accurate results of reflected seismic transverse wave at the surface of Earth crust.

An analysis of axisymmetric Sezawa waves in elastic solids

“…with properties[27][28][29] Then by evaluating equation(27) with different wavenumbers, the phase velocity solutions can be obtained and plotted as in figure2. This is exactly the velocity, or dispersion relation, of Sezawa waves from a textbook[20].By choosing x kh 3.3622 = = in figure 2, within the given range there are four wave modes with corresponding velocities…”

Dynamic response of the half-space subjected to a moving point load and thermal stress

“…Wave propagation in solids is an important topic for engineers and scientists in the related fields [1,2]. Particularly, dynamic response of structures under transient moving load has long been an interesting subject in the field of civil, transportation, geological and seismological engineering [3][4][5][6].…”