A note on incremental equations for a new class of constitutive relations for elastic bodies

Wave Motion ◽  
2016 ◽  
Vol 65 ◽  
pp. 44-54 ◽  
Author(s):  
P. Arrue ◽  
R. Bustamante ◽  
D. Sfyris
Keyword(s):  
Constitutive Relations ◽  
New Class ◽  
Elastic Bodies ◽  
Incremental Equations

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.

The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies

2019 ◽  
Vol 135 (1-2) ◽  
pp. 375-397 ◽  
Author(s):  
Vojtěch Kulvait ◽  
Josef Málek ◽  
K. R. Rajagopal
Keyword(s):  
The State ◽  
Stress And Strain ◽  
New Class ◽  
Elastic Bodies ◽  
State Of Stress ◽  
Nonlinear Elastic

On the inhomogeneous shearing of a new class of elastic bodies

2012 ◽  
Vol 17 (7) ◽  
pp. 762-778 ◽  
Author(s):  
R Bustamante ◽  
KR Rajagopal
Keyword(s):  
New Class ◽  
Elastic Bodies

Universal relations for a new class of elastic bodies

2013 ◽  
Vol 19 (4) ◽  
pp. 440-448 ◽  
Author(s):  
KR Rajagopal ◽  
Alan S Wineman
Keyword(s):  
New Class ◽  
Elastic Bodies

Large deformations of a new class of incompressible elastic bodies

2016 ◽  
Vol 67 (3) ◽  
Author(s):  
R. Bustamante ◽  
O. Orellana ◽  
R. Meneses ◽  
K. R. Rajagopal
Keyword(s):  
Large Deformations ◽  
New Class ◽  
Elastic Bodies

Numerical technique for solving truss and plane problems for a new class of elastic bodies

2016 ◽  
Vol 227 (11) ◽  
pp. 3147-3176 ◽  
Author(s):  
L. S. Shankar ◽  
S. Rajthilak ◽  
U. Saravanan
Keyword(s):  
Numerical Technique ◽  
New Class ◽  
Elastic Bodies
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