Influence of rigid boundary on the love wave propagation in elastic layer with void pores

2013 ◽  
Vol 26 (5) ◽  
pp. 551-558 ◽  
Author(s):  
Sumit Kumar Vishwakarma ◽  
Shishir Gupta ◽  
Dinesh Kumar Majhi
Sadhana ◽  
2004 ◽  
Vol 29 (4) ◽  
pp. 355-363 ◽  
Author(s):  
S. Dey ◽  
S. Gupta ◽  
A. K. Gupta
Keyword(s):  

1999 ◽  
Vol 66 (1) ◽  
pp. 197-203 ◽  
Author(s):  
P. J. Schall ◽  
J. P. McHugh

The linear stability of two-layer flow over an infinite elastic substraw is considered. The problem is motivated by coating flow in a printing press. The flow is assumed to be inviscid and irrotational. Surface tension between the fluid layers is included, but gravity is neglected. The results show two unstable modes: one mode associated with the interface between the elastic layer and the fluid (mode 1), and the other concentrated on the interface between the two fluids (mode 2). The behavior of the unstable modes is examined while varying the elastic parameters, and it is found that mode 1 can be made stable, but mode 2 remains unstable at small wavenumber, similar to the classic Kelvin—Helmholtz mode.


2019 ◽  
Vol 25 (8) ◽  
pp. 1470-1483 ◽  
Author(s):  
Gurwinderpal Kaur ◽  
Dilbag Singh ◽  
SK Tomar

The propagation of Love-type waves in a nonlocal elastic layer with voids resting over a nonlocal elastic solid half-space with voids has been studied. Dispersion relations are derived using appropriate boundary conditions of the model. It is found that there exist two fronts of Love-type surface waves that may travel with distinct speeds. The appearance of the second front is purely due to the presence of voids in layered media. Both fronts are found to be dispersive in nature and affected by the presence of the nonlocality parameter. The first front is found to be nonattenuating, independent of void parameters and analogous to the Love wave of classical elasticity, while the second front is attenuating and depends on the presence of void parameters. Each of the fronts is found to face a critical frequency above which it ceases to propagate. For a specific model, the variation of the phase speeds of both the fronts with frequency, nonlocality, voids and thickness parameters is shown graphically. Attenuation coefficient versus frequency for the second front has also been depicted separately. Some particular cases are deduced from the present formulation.


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