Long wavelength propagation of elastic waves in three-dimensional periodic solid-solid media

2007 ◽  
Vol 101 (7) ◽  
pp. 073515 ◽  
Author(s):  
Qing Ni ◽  
Jianchun Cheng
2021 ◽  
Vol 91 (11) ◽  
pp. 1655
Author(s):  
М.И. Гуревич ◽  
Е.Д. Казаков ◽  
Ю.Г. Калинин ◽  
А.А. Курило ◽  
О.В. Тельковская ◽  
...  

An explanation for a feature found in several experiments in the general picture of the destruction of non-brittle polymers under the influence of a shock wave initiated by a powerful electron beam is proposed. The distance of the cracking region from the surface of the material affected by the beam to a finite length in depth is associated with the three-dimensional nature of the propagation of elastic waves. The universality of the effect is demonstrated by the simplest isotropic model, which shows that large tensile stresses are effectively generated inside the target at its sufficiently large transverse and longitudinal size, even without taking into account nonlinear and shear processes.


2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Inder Singh ◽  
Dinesh Kumar Madan ◽  
Manish Gupta

3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numerically and represented graphically.


2018 ◽  
Vol 54 (1) ◽  
pp. 130-137 ◽  
Author(s):  
V. V. Mykhas’kiv ◽  
Ya. І. Kunets’ ◽  
V. V. Маtus ◽  
О. V. Burchak ◽  
О. К. Balalaev

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