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Nonlinear viscoelastic composite materials mechanical behaviour prediction by a homogenisation approach

Martin Lévesque 
Abstract : The main objective of this thesis is to develop a model, based on homogenisation, for predicting the mechanical response of nonlinear viscoelastic composites. The model is applied to a glass beads reinforced polypropylene in which the beads are randomly distributed. The initial part of the thesis is concerned with the development of a three dimensional nonlinear viscoelastic constitutive law that can be applied to this polypropylene composite. The second stage of the thesis deals with the development and identification of the homogenisation model while this theoretical model is presented in Chapter Three. This approach allows material models, for which the response does not depend on the load history, to be applied to nonlinear viscoelastic materials. The approach involves transforming the initial nonlinear viscoelastic problem into one which is linear viscoelastic with a history of stress-free deformations. This problem is solved with the linear viscoelastic correspondence principle and Laplace-Carson transforms. Chapter Four deals with the numerical implementation of such a model. The implementation is achieved in such a way that the comparison materials, which represent the new linear viscoelastic problem, satisfy all thermodynamic requirements. Moreover, a new algorithm has been developed to numerically invert the Laplace-Carson transforms with good accuracy. The final part of the thesis validates the theoretical model through means of finite element models of typical microstructures and the numerical implementation of the nonlinear viscoelastic constitutive law. Comparisons are also presented between the predictions of the homogenisation model, the finite element simulations and results of experimental tensile tests
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Submitted on : Monday, May 16, 2005 - 8:00:00 AM
Last modification on : Monday, May 16, 2005 - 8:00:00 AM
Long-term archiving on: : Thursday, September 30, 2010 - 6:26:17 PM


  • HAL Id : pastel-00001237, version 1



Martin Lévesque. Nonlinear viscoelastic composite materials mechanical behaviour prediction by a homogenisation approach. Engineering Sciences [physics]. Arts et Métiers ParisTech, 2004. English. ⟨NNT : 2004ENAM0043⟩. ⟨pastel-00001237⟩



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