On the inelastic shock profile in alumina

2002 ◽  
Vol 92 (10) ◽  
pp. 5886-5891 ◽  
Author(s):  
H. Marom ◽  
D. Sherman ◽  
Z. Rosenberg ◽  
N. Murray
Keyword(s):  
Shock Profile

scholarly journals Second Summary-Introduction: Steady One-Dimensional Fluid-Magnetic Collisionless Shock Theory

1960 ◽  
Vol 12 ◽  
pp. 459-467
Author(s):  
A. A. Blank ◽  
H. Grad
Keyword(s):  
Wave Front ◽  
Mean Free Path ◽  
Finite Amplitude ◽  
Wave Profile ◽  
The State ◽  
Compressive Wave ◽  
Dissipative Effects ◽  
Dissipative Mechanism ◽  
Weak Shocks ◽  
Shock Profile

Shock-waves represent one of the most important mechanisms for creating and heating a plasma. In classical non-dissipative gas dynamics, the formation of a shock is indicated by the progressive steepening of a finite-amplitude compressive wave front to the point where it becomes multivalued and consequently without physical meaning. This difficulty is avoided by the inclusion of dissipative effects, usually in the form of heat flow and viscosity. The dissipative mechanisms become more effective as the wave front steepens, and the result is a steady wave profile for which the non-linear and dissipative effects are counterbalanced. The scale length for the dissipative transition zone or wave profile is the mean-free-path; the actual thickness may range from one to several mean-free-paths, or even more for very weak shocks. Given the strength of the shock, the state on one side of the shock may be computed from the state on the other side directly from the laws of conservation of mass, momentum and energy (Hugoniot relations). Accordingly, the nature of the particular dissipative mechanism affects only the shape of the shock profile but not the end states.

The velocity distribution function within a shock wave

1967 ◽  
Vol 30 (3) ◽  
pp. 479-487 ◽  
Author(s):  
G. A. Bird
Keyword(s):  
Shock Wave ◽  
Distribution Function ◽  
Velocity Distribution ◽  
Numerical Experiments ◽  
Equilibrium Distribution ◽  
Velocity Distribution Function ◽  
Distribution Functions ◽  
Rigid Sphere ◽  
Lateral Velocity ◽  
Shock Profile

The structure of normal shock waves in a gas composed of rigid sphere molecules is investigated by numerical experiments with a simulated gas on a digital computer. The non-equilibrium between the temperatures based on the longitudinal and lateral velocity components is studied and the results compared with the theory of Yen (1966). Details of the velocity distribution function are presented for a shock of Mach number 10. The distribution functions for both the longitudinal and lateral velocity components are plotted for a number of locations in the shock profile and are compared with the equilibrium distribution.

Steady shock profile in solids

1973 ◽  
Vol 44 (9) ◽  
pp. 4013-4016 ◽  
Author(s):  
F. E. Prieto ◽  
C. Renero
Keyword(s):  
Shock Profile ◽  
Steady Shock

Microstructures in 0.1 to 1 Mbar shock-loaded 200 nickel: A TEM study

1983 ◽  
Vol 41 ◽  
pp. 272-273 ◽  
Author(s):  
K. P. Staudhammer ◽  
K. A. Johnson ◽  
B. W. Olinger
Keyword(s):  
Grain Size ◽  
Strain Rate ◽  
Optical Microscopy ◽  
Magnetic Permeability ◽  
Significant Variation ◽  
Flyer Plate ◽  
Annealed Material ◽  
Minimum Deformation ◽  
Post Shock ◽  
Shock Profile

Flyer plate techniques have been used to obtain tensile compression shocks. In the present work 200 nickel was subjected to a radial shock profile which varied in pressure from 0.1 to 1 Mbar along the axis of a cylinder. This unique shock profile produced tensile strains of up to 30% elongation at a strain rate of 106/sec.The nickel cylinder had an initial grain size of 60 μm. Post shock optical microscopy revealed minimum deformation in the bulk of the assembly. However, at the shock convergence axis of the cylinder fracture/spalation was observed, particularly at the higher pressures. Our TEM observations were taken away from these areas. The hardness measurements revealed a significant increase in hardness over that of the annealed material, 240 vs 100 dph. The uniformly high value of microhardness indicated a saturation of defects and magnetic permeability indicated much the same, with no significant variation throughout the bar.

scholarly journals Gamow vectors explain the shock profile

2016 ◽  
Vol 24 (19) ◽  
pp. 21963 ◽  
Author(s):  
Maria Chiara Braidotti ◽  
Silvia Gentilini ◽  
Claudio Conti
Keyword(s):  
Gamow Vectors ◽  
Shock Profile

Nonlinear dispersive waves in a Hall plasma with a finite conductivity

1981 ◽  
Vol 109 ◽  
pp. 301-309 ◽  
Author(s):  
A. T. Granik
Keyword(s):  
Magnetic Field ◽  
Electrical Conductivity ◽  
Nonlinear Equation ◽  
Hall Effect ◽  
Oscillatory Solution ◽  
Turbulent Plasma ◽  
Finite Conductivity ◽  
Dispersive Waves ◽  
Hall Plasma ◽  
Shock Profile

The study of nonlinear magnetosonic waves in a turbulent plasma is extended to include the effects of the Hall term. The turbulence and Hall effect are characterized by an effective electrical conductivity and an ion gyrofrequency respectively. It is shown that the magnetosonic waves are governed by a nonlinear equation which can be considered as the generalization of a Korteweg & de Vries (1895) equation with dispersion. For a stationary solution two cases are considered in detail: (a) an unperturbed magnetic field is almost parallel to a wave vector, and (b) they are almost perpendicular. In the case (a) it is shown that the presence of the Hall term can lead to an oscillatory solution which decays due to the finite conductivity. In the second case the Hall effect does not affect the monotonous character of a decaying Taylor-shock profile.

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