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

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.

A class of materials with memory

Meccanica ◽  
1972 ◽  
Vol 7 (1) ◽  
pp. 21-21
Author(s):  
G. Capriz
Keyword(s):  
Materials With Memory ◽  
With Memory

scholarly journals Asymptotic Periodicity for a Class of Partial Integrodifferential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Alejandro Caicedo ◽  
Claudio Cuevas ◽  
Hernán R. Henríquez
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Integral Equations ◽  
Integrodifferential Equations ◽  
Materials With Memory ◽  
Asymptotic Periodicity ◽  
With Memory ◽  
Equations With Delay

We study the existence of S-asymptotically ω-periodic solutions for a class of abstract partial integro-differential equations and for a class of abstract partial integrodifferential equations with delay. Applications to integral equations arising in the study of heat conduction in materials with memory are shown.

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