Implicit nonlinear elastic bodies with density dependent material moduli and its linearization

2022 ◽  
Vol 234-235 ◽  
pp. 111255
Author(s):  
Kumbakonam R. Rajagopal ◽  
Giuseppe Saccomandi
Keyword(s):  
Density Dependent ◽  
Elastic Bodies ◽  
Nonlinear Elastic

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

Simulation of complex nonlinear elastic bodies using lattice deformers

2012 ◽  
Vol 31 (6) ◽  
pp. 1-10 ◽  
Author(s):  
Taylor Patterson ◽  
Nathan Mitchell ◽  
Eftychios Sifakis
Keyword(s):  
Elastic Bodies ◽  
Nonlinear Elastic

Circular Contact of Incompressible, Nonlinear-Elastic Bodies

2009 ◽  
Author(s):  
Emanuel Diaconescu ◽  
Marilena Glovnea ◽  
Filip Ciutac
Keyword(s):  
Nonlinear Elasticity ◽  
Simple Approach ◽  
Experimental Results ◽  
Contact Modeling ◽  
Elastic Bodies ◽  
Nonlinear Elastic ◽  
Theory And Experiments ◽  
Circular Contact ◽  
Good Agreement

Contact modeling of rubber bodies is based either on viscoelasticity, nonlinear elasticity or adhesion. This paper advances a simple approach to the analysis of the contacts involving incompressible, nonlinear elastic bodies and reports experimental results on rubber to justify this approach. A good agreement is found between theory and experiments.

scholarly journals A new type of constitutive equation for nonlinear elastic bodies. Fitting with experimental data for rubber-like materials

2021 ◽  
Vol 477 (2252) ◽  
pp. 20210330
Author(s):  
Roger Bustamante ◽  
Kumbakonam R. Rajagopal
Keyword(s):  
Experimental Data ◽  
Constitutive Equation ◽  
Constitutive Relation ◽  
Cauchy Stress ◽  
Gibbs Potential ◽  
Hencky Strain ◽  
Biaxial Stretching ◽  
Elastic Bodies ◽  
New Type ◽  
Nonlinear Elastic

In this article, we develop a new implicit constitutive relation, which is based on a thermodynamic foundation that relates the Hencky strain to the Cauchy stress, by assuming a structure for the Gibbs potential based on the Cauchy stress. We study the tension/compression of a cylinder, biaxial stretching of a thin plate and simple shear within the context of our constitutive relation. We then compare the predictions of the constitutive relation that we develop and that of Ogden’s constitutive relation with the experiments of Treloar concerning tension/compression of a cylinder, and we show that the predictions of our constitutive relation provide a better description than Ogden’s model, with fewer material moduli.

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