scholarly journals On the Flows of Fluids Defined through Implicit Constitutive Relations between the Stress and the Symmetric Part of the Velocity Gradient

Fluids ◽  
2016 ◽  
Vol 1 (2) ◽  
pp. 5
Author(s):  
Kumbakonam Rajagopal
Keyword(s):  
Velocity Gradient ◽  
Constitutive Relations ◽  
Symmetric Part ◽  
Implicit Constitutive Relations

Implicit constitutive relations for visco-elastic solids: Part II. Non-homogeneous deformations

2020 ◽  
Vol 126 ◽  
pp. 103560
Author(s):  
R. Bustamante ◽  
K.R. Rajagopal ◽  
O. Orellana ◽  
R. Meneses
Keyword(s):  
Constitutive Relations ◽  
Elastic Solids ◽  
Implicit Constitutive Relations

On the treatment of non-solvable implicit constitutive relations in solid mechanics

2014 ◽  
Vol 66 (3) ◽  
pp. 1165-1174
Author(s):  
D. Sfyris ◽  
R. Bustamante
Keyword(s):  
Solid Mechanics ◽  
Constitutive Relations ◽  
Implicit Constitutive Relations

scholarly journals On a new class of electroelastic bodies. I

2013 ◽  
Vol 469 (2149) ◽  
pp. 20120521 ◽  
Author(s):  
R. Bustamante ◽  
K. R. Rajagopal
Keyword(s):  
Large Deformations ◽  
Constitutive Relations ◽  
Small Displacement ◽  
Electrical Field ◽  
New Class ◽  
Constitutive Relationships ◽  
Elastic Bodies ◽  
Biological Matter ◽  
Implicit Constitutive Relations

Implicit constitutive relations are proposed for large deformations of electroelastic bodies, and approximations to these are developed within the context of small displacement gradients. The resultant theories lead to the interesting situation wherein the constitutive relationships are nonlinear though the strain is ‘linearized’. In the absence of the effects due to the electrical field, the models reduce to a class of constitutive relations that have been studied recently, which have applications in the fracture of, and propagation of cracks in, brittle elastic bodies. The current class of electroelastic bodies have applications in a variety of important areas such as the response of piezoelectric bodies, electro-sensitive elastomers and biological matter.

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