The refraction of a pure shear shock wave into an elastic-plastic half-space

1989 ◽  
Vol 53 (2) ◽  
pp. 242-249
Author(s):  
A.G. Bykovtsev
Keyword(s):  
Shock Wave ◽  
Half Space ◽  
Pure Shear ◽  
Elastic Plastic

The reflexion of sound waves of finite amplitude by a rigid wall

1954 ◽  
Vol 222 (1149) ◽  
pp. 254-261 ◽  
Keyword(s):  
Shock Wave ◽  
Numerical Integration ◽  
Half Space ◽  
Continuous Solution ◽  
Rigid Wall ◽  
Finite Amplitude ◽  
Adiabatic Exponent ◽  
Sound Waves ◽  
Infinite Extent ◽  
Rigid Plane

A polytropic gas of adiabatic exponent 5/3 fills the half-space on one side of a rigid plane wall of infinite extent. Initially the gas is at rest and its density is proportional to x 3/2 , where x is the distance from the wall. The gas starts moving towards the wall. It is shown that, although the data are continuous, the problem has no continuous solution, that reflexion at the wall generates a shock wave. The problem is solved completely without recourse to numerical integration.

Reflection and Transmission of Elastic-Plastic Spherical Waves at a Spherical Interface

1975 ◽  
Vol 42 (4) ◽  
pp. 837-841 ◽  
Author(s):  
M. G. Srinivasan
Keyword(s):  
Shock Wave ◽  
Spherical Wave ◽  
Acceleration Wave ◽  
Wave Fronts ◽  
Reflection And Transmission ◽  
Elastic Plastic ◽  
Spherical Waves ◽  
The Many ◽  
Discontinuity Conditions ◽  
Spherical Interface

When a spherical wave is incident on a spherical interface of two different elastic-plastic, rate-independent materials, which of the many different admissible cases of reflection and transmission will actually occur must be determined in order to extend any numerical solution for subsequent times. An analytical method for this determination in terms of the known solution for times just prior to the incidence of the wave is outlined. The wave considered may be either an acceleration wave or a shock wave. The discontinuity conditions across the wave fronts and the continuity of displacement at the interface form the basis of this method and examples are given for illustration.

Deforming of Elastic-Plastic Medium with Self-Similar Restriction

2016 ◽  
Vol 685 ◽  
pp. 305-309 ◽  
Author(s):  
Alexandr A. Mantsybora ◽  
Maxim M. Rusanov
Keyword(s):  
Boundary Value Problem ◽  
Numerical Solution ◽  
Large Deformation ◽  
Half Space ◽  
Elastic Waves ◽  
Plastic Medium ◽  
Elastic Plastic ◽  
Deformation State ◽  
Similar Restriction ◽  
Self Similar

The problem of shock deforming of elastic-plastic half-space with large deformation was examined. We have obtained that the deformation state can be changed in two types of simple plastic waves and two types of shock elastic waves in the case of self-similar medium motion. The speeds and characteristics of plastic waves were examined. The numerical solution of boundary value problem was found.

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