Thermodynamics and one dimensional shock waves in materials with memory

1966 ◽  
Vol 292 (1431) ◽  
pp. 562-574 ◽  
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Long Range ◽  
Materials With Memory ◽  
One Dimensional ◽  
Small Intensity ◽  
Linear Viscoelastic ◽  
Hugoniot Curves ◽  
With Memory ◽  
Arbitrary Intensity

We consider one dimensional shock waves in materials which do not conduct heat. We show that most of the classical theory of Hugoniot curves can be broadly generalized to substances having long range, non-linear, viscoelastic memory. For example, the presence of memory does not destroy the conclusion that the jump in entropy across a shock wave of small intensity is of order three or higher in the jump in the strain. The theorems of Bethe and Weyl on shocks of arbitrary intensity also can be generalized to materials with memory.

Gas-ionizing shock and combustion waves in magnetogasdynamics

1962 ◽  
Vol 14 (3) ◽  
pp. 405-419 ◽  
Author(s):  
J. B. Helliwell
Keyword(s):  
Shock Wave ◽  
Electromagnetic Field ◽  
Shock Waves ◽  
Combustion Wave ◽  
Density Ratio ◽  
Combustion Waves ◽  
One Dimensional ◽  
Inviscid Gas ◽  
Density Ratios ◽  
Hugoniot Curves

Some general properties of one-dimensional deflagration waves in a non-conducting inviscid gas at rest are discussed when ionization of the gas takes place across a shock wave which precedes the flame front, and electromagnetic fields are present. The direction of wave propagation, the electric field and magnetic field are taken as a mutually orthogonal triad of vectors. The jump relationships across the gas-ionizing shock wave and magnetogasdynamic combustion wave are investigated and the two Hugoniot curves analysed in detail in the pressure-specific volume plane. The possible types of wave are indicated for arbitrary magnitudes of the upstream electromagnetic field. It is shown that weak gasionizing shock waves cannot exist. For suitably chosen electromagnetic field strenghts the density ratio across the shock wave may be greater than the ordinary gasdynamic limit and, in such cases, the pressure and density ratios are related in an inverse manner, in contrast to the behaviour for ordinary gasdynamic or magnetogasdynamic shock waves. The magnetogasdynamic combustion wave has similar properties to that in ordinary gasdynamics.

One-dimensional failure of materials with memory

1973 ◽  
Vol 18 (3-4) ◽  
pp. 193-200 ◽  
Author(s):  
T. Tokuoka
Keyword(s):  
Materials With Memory ◽  
One Dimensional ◽  
With Memory

scholarly journals Normal Reflection Characteristics of One-Dimensional Unsteady Flow Shock Waves on Rigid Walls from Pulse Discharge in Water

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Dong Yan ◽  
Jinchang Zhao ◽  
Shaoqing Niu
Keyword(s):  
Shock Wave ◽  
Hydrostatic Pressure ◽  
Shock Waves ◽  
Pulse Discharge ◽  
Weak Shock ◽  
Rigid Wall ◽  
Wave Source ◽  
One Dimensional ◽  
Normal Reflection ◽  
Rigid Walls

Strong shock waves can be generated by pulse discharge in water, and the characteristics due to the shock wave normal reflection from rigid walls have important significance to many fields, such as industrial production and defense construction. This paper investigates the effects of hydrostatic pressures and perturbation of wave source (i.e., charging voltage) on normal reflection of one-dimensional unsteady flow shock waves. Basic properties of the incidence and reflection waves were analyzed theoretically and experimentally to identify the reflection mechanisms and hence the influencing factors and characteristics. The results indicated that increased perturbation (i.e., charging voltage) leads to increased peak pressure and velocity of the reflected shock wave, whereas increased hydrostatic pressure obviously inhibited superposition of the reflection waves close to the rigid wall. The perturbation of wave source influence on the reflected wave was much lower than that on the incident wave, while the hydrostatic pressure obviously affected both incident and reflection waves. The reflection wave from the rigid wall in water exhibited the characteristics of a weak shock wave, and with increased hydrostatic pressure, these weak shock wave characteristics became more obvious.

scholarly journals Approaching the “cold curve” in laser-driven shock wave experiment of a matter precompressed by a partially perforated diamond anvil

2012 ◽  
Vol 31 (1) ◽  
pp. 73-79 ◽  
Author(s):  
N. Nissim ◽  
S. Eliezer ◽  
M. Werdiger ◽  
L. Perelmutter
Keyword(s):  
Shock Wave ◽  
Diamond Anvil Cell ◽  
Compression Curve ◽  
One Dimensional ◽  
Cold Compression ◽  
Relative Contribution ◽  
Order Of Magnitude ◽  
Diamond Anvil ◽  
Hugoniot Curves ◽  
Shock Wave Experiment

AbstractThis paper suggests a novel route to approach the cold compression curve in laser-plasma induced shock waves. This effect is achieved with a precompression in a diamond anvil cell (DAC). In order to keep the necessary structure of one dimensional shock wave it is required to use a diamond anvil cell with a partially perforated diamond anvil. Precompression pressures of about 50 GPa, that are an order of magnitude higher than the currently reported pressures, are possible to obtain with presentley existing diamond anvil cell technology. The precompressed Hugoniot of Al was calculated for different precompression pressures and it was found that at precompression pressure of 50 GPa the Hugoniot follows the “cold curve” up to about 2 Mbar and 5.2 g/cc. Furthermore, the thermal relative contribution on the Hugoniot curves is calculated.

On shock waves in materials with memory

Wave Motion ◽  
1997 ◽  
Vol 25 (1) ◽  
pp. 73-81 ◽  
Author(s):  
S. Hazanov
Keyword(s):  
Shock Waves ◽  
Materials With Memory ◽  
With Memory
Sign in / Sign up

Export Citation Format

Share Document