In this paper, we discuss the application of different stress–optic laws for rubbers to predict the birefringence evolution and the stress–stretch relationship. The main focus of this work is to propose a new formulation for the stress–birefringence relationship using the Gent theory for rubber elasticity. The Gent constitutive model for the stress–stretch response has been shown to provide a nearly equivalent rubber elastic behavior as that of the widely used eight-chain model. By combining the simpler stress–stretch relationship from the Gent model with a Gaussian network theory for birefringence, we propose a simplified stress–optic relationship. We show that our obtained results are in accord with the existing experimental results at large strains. Our proposed simplified formulation and results allow us to conclude that the Gent theory can be extended to predict optical anisotropy evolution under large strains and that these predictions are nearly equivalent to the more complex formulation based on the eight-chain model.
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July 2011
Multi-Physics Approaches For The Behavior Of Polymer-Based Materials
Modeling of the Stress–Birefringence–Stretch Behavior in Rubbers Using the Gent Model
A. K. Mossi Idrissa,
A. K. Mossi Idrissa
University of Strasbourg
, IMFS, CNRS, 2 Rue Boussingault, 67000 Strasbourg, France
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S. Ahzi,
S. Ahzi
University of Strasbourg
, IMFS, CNRS, 2 Rue Boussingault, 67000 Strasbourg, France
; University of Aveiro
, TEMA, 3810-193 Aveiro, Portugal e-mail:
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Y. Rémond,
Y. Rémond
University of Strasbourg
, IMFS, CNRS, 2 Rue Boussingault, 67000 Strasbourg, France
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J. Gracio
J. Gracio
University of Aveiro
, TEMA, 3810-193 Aveiro, Portugal
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A. K. Mossi Idrissa
University of Strasbourg
, IMFS, CNRS, 2 Rue Boussingault, 67000 Strasbourg, France
S. Ahzi
University of Strasbourg
, IMFS, CNRS, 2 Rue Boussingault, 67000 Strasbourg, France
; University of Aveiro
, TEMA, 3810-193 Aveiro, Portugal e-mail:
Y. Rémond
University of Strasbourg
, IMFS, CNRS, 2 Rue Boussingault, 67000 Strasbourg, France
J. Gracio
University of Aveiro
, TEMA, 3810-193 Aveiro, Portugal
J. Eng. Mater. Technol. Jul 2011, 133(3): 030905 (8 pages)
Published Online: July 1, 2011
Article history
Received:
July 16, 2010
Revised:
April 1, 2011
Published:
July 1, 2011
Citation
Idrissa, A. K. M., Ahzi, S., Rémond, Y., and Gracio, J. (July 1, 2011). "Modeling of the Stress–Birefringence–Stretch Behavior in Rubbers Using the Gent Model." ASME. J. Eng. Mater. Technol. July 2011; 133(3): 030905. https://doi.org/10.1115/1.4004053
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