Nonlinear constitutive equations for directed viscoelastic materials with memory

1968 ◽  
Vol 19 (1) ◽  
pp. 128-139 ◽  
Author(s):  
Carl N. DeSilva ◽  
Kenneth A. Kline
Keyword(s):  
Constitutive Equations ◽  
Viscoelastic Materials ◽  
Materials With Memory ◽  
With Memory

On the use of symmetry to simplify the constitutive equations of isotropic materials with memory

1968 ◽  
Vol 306 (1487) ◽  
pp. 449-476 ◽  
Keyword(s):  
Constitutive Equations ◽  
Material Symmetry ◽  
Materials With Memory ◽  
Material Response ◽  
Isotropic Materials ◽  
Frame Indifference ◽  
History Of ◽  
With Memory

This paper is concerned with general, compressible, isotropic materials, solid or fluid, characterized by functionals which give the stress when the history of the strain is specified. It is shown that for certain broad classes of motions the requirements of material symmetry and frame-indifference greatly simplify the form of constitutive equations. These simplifica­tions are derived without invoking integral expansions or other special hypotheses of smoothness for material response. Among the motions considered in detail are those which are locally equivalent to pure extensions and sheared extensions.

Thermodynamic constitutive equations for materials with memory on a material time scale

1996 ◽  
Vol 40 (1) ◽  
pp. 69-106 ◽  
Author(s):  
Steven R. Lustig ◽  
Robert M. Shay ◽  
James M. Caruthers
Keyword(s):  
Constitutive Equations ◽  
Time Scale ◽  
Materials With Memory ◽  
With Memory

Thermoelectric viscoelastic materials with memory-dependent derivative

2017 ◽  
Vol 19 (5) ◽  
pp. 539-551 ◽  
Author(s):  
Magdy A. Ezzat ◽  
Ahmed S. El Karamany ◽  
A.A. El-Bary
Keyword(s):  
Viscoelastic Materials ◽  
Materials With Memory ◽  
With Memory
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