Vers la conception des matériaux amortissants : une apporche micromécanique

Abstract : This work focuses on the micromechanical modeling of particulate viscoelastic composite materials in the quasi-static frequency domain to approximate macroscopic damping behavior. The work has two main objectives. The first objective is the development of a robust multi-scale (micro macro) model in the quasi-static domain. For this purpose, the static three phase self-consistent (SC) model introduced by Cherkaoui et al [J. Eng. Mater. Technol. 116, 274-278 (1994)] is extended to the quasi-static domain based on the elastic-viscoelastic correspondence principle and strain energy arguments. The model is then generalized by employing dilute strain concentration tensor formulation and validated by comparison with acoustic and static experimental data and established models. Notably, strong agreement is found between experimental acoustic transmission loss measurements and SC model estimates for a polymer containing coated micro-inclusions. The second objective is a study of the SC model as a tool for the design of high loss materials. This objective is met by presenting a case study of the lossy behavior of a multiscale structure in the form of a vibrating sandwich plate representing an automobile windshield. This multiscale structure is modeled with a nested hierarchy of models which is validated by comparison with finite element approximations. Parametric studies of damping behavior at structural and part length scales are performed which provide information for the design of constituent sandwich plate materials. The effects of microstructural variation on structure level damping predicted by the SC model are quantified and discussed. The work concludes by summarizing important results and contributions and giving perspectives and suggestions for future work.
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Michaël Haberman. Vers la conception des matériaux amortissants : une apporche micromécanique. Autre. Université Paul Verlaine - Metz, 2006. Français. ⟨NNT : 2006METZ023S⟩. ⟨tel-01752465⟩

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