Thermodynamic influences on the growth of one-dimensional shock waves in materials with memory

1972 ◽  
Vol 23 (1) ◽  
pp. 69-79 ◽  
Author(s):  
Peter J. Chen ◽  
Morton E. Gurtin
Keyword(s):  
Shock Waves ◽  
Materials With Memory ◽  
One Dimensional ◽  
With Memory

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.

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

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

Shock waves in a mixture of chemically reacting materials with memory

1975 ◽  
Vol 21 (1-2) ◽  
pp. 1-11 ◽  
Author(s):  
Ray M. Bowen ◽  
Peter J. Chen ◽  
Jace W. Nunziato
Keyword(s):  
Shock Waves ◽  
Materials With Memory ◽  
Chemically Reacting ◽  
With Memory
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