Propagation of waves of finite amplitude in a plasma with allowance for the charge separation effect

1966 ◽  
Vol 8 (1) ◽  
pp. 16-20
Author(s):  
A. D. Pataraya
Langmuir ◽  
2019 ◽  
Vol 35 (7) ◽  
pp. 2517-2526 ◽  
Author(s):  
Nelly Couzon ◽  
Mathieu Maillard ◽  
Fernand Chassagneux ◽  
Arnaud Brioude ◽  
Laurence Bois

1965 ◽  
Vol 87 (4) ◽  
pp. 523-529 ◽  
Author(s):  
J. L. Nowinski

The existing theory of propagation of waves of finite amplitude is applied to rubberlike materials using a rigorous finite deformation theory of elasticity. Mooney-Rivlin and Neo-Hookean bodies are investigated in more detail, and explicit solutions are given for the speed of propagation, the particle velocity, and the conditions at the shock front. A numerical example concerning the Neo-Hookean body is given.


2008 ◽  
Author(s):  
Masakatsu Murakami ◽  
Sergei V. Bulanov ◽  
H. Daido

Author(s):  
Edvige Pucci ◽  
Giuseppe Saccomandi ◽  
Luigi Vergori

We study the propagation of linearly polarized transverse waves in a pre-strained incompressible isotropic elastic solid. Both finite and small-but-finite amplitude waves are examined. Irrespective of the magnitude of the wave amplitude, these waves may propagate only if the (unit) normal to the plane spanned by the directions of propagation and polarization is a principal direction of the left Cauchy–Green deformation tensor associated with the pre-strained state. A rigorous asymptotic analysis of the equations governing the propagation of waves of small but finite amplitude reveals that the time scale over which the nonlinear effects become significant depends on the direction along which the wave travels. Moreover, we design theoretically an experimental procedure to determine the Landau constants of the fourth-order weakly nonlinear theory of elasticity.


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