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Macroscopic behavior of a reinforced elastomer: micromechanical modelling and validation

Published online by Cambridge University Press:  17 August 2007

Vanessa Bouchart ,
Mathias Brieu ,
Djimedo Kondo  and
Moussa Naït Abdelaziz
Vanessa Bouchart
Affiliation:
Laboratoire de Mécanique de Lille, Boulevard Paul Langevin, 59655 Villeneuve d'Ascq, France
Mathias Brieu
Affiliation:
Laboratoire de Mécanique de Lille, Boulevard Paul Langevin, 59655 Villeneuve d'Ascq, France
Djimedo Kondo
Affiliation:
Laboratoire de Mécanique de Lille, Boulevard Paul Langevin, 59655 Villeneuve d'Ascq, France
Moussa Naït Abdelaziz
Affiliation:
Laboratoire de Mécanique de Lille, Boulevard Paul Langevin, 59655 Villeneuve d'Ascq, France
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Abstract

In the present study, we propose an evaluation of a non-linear homogenization model applied to hyperelastic composites having random microstructure. This modelling approach consists in a 3D implementation of the second order method introduced by Ponte Castañeda & Tiberio [1]. We first recall the basic principles of this method. Then, we investigate a composite made up of an hyperelastic matrix reinforced by spherical deformable or rigid particles. Computational issues of the micromechanical model are discussed and some obtained results allow to demonstrate the reinforcement effect of the particles. In order to provide a rigorous evaluation of the methodology, finite elements computations, on an unit cell, are performed and compared to the predictions of the model. Finally, a confrontation with experimental results is provided.

Keywords

Non-linear homogenizationhyperelasticitysecond order methodelastomersfinite deformationsHomogénéisation non-linéairehyperélasticitéméthode du second ordreélastomèresgrandes déformations
Type
Research Article
Information
Mechanics & Industry , Volume 8 , Issue 3: Congrès Mécanique de Grenoble , May 2007 , pp. 199 - 205
Copyright
© AFM, EDP Sciences, 2007

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References

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