Effect of membrane content on the acoustical properties of three-dimensional monodisperse foams: Experimental, numerical and semi-analytical approaches

Abstract : This work is mainly concerned with the determination of the acoustic properties of foams. This is a project carried out as part of a collaboration between a team of physicochemistry of foams in charge of the development of model materials (Navier laboratory UMR 8205 CNRS) and a team of acousticians responsible for the study of their acoustic properties (MSME laboratory UMR 8208 CNRS). This thesis is structured around three main parts, the content of which is summarized below. 1) The first part deals with the generation of response surfaces by polynomial approximations, in order to have an intermediate model between the micro-macro fInite element model and the macroscopic response. Instead of calling the fInite element model systematically in an optimization work, we use the response surface that contains the information associated with finite element calculation points and the corresponding interpolations. This manuscript was published in the AAuA journal as a fast track publication. 2) The second part deals with a finite element calculation in which a large number of realizations are carried out in order to take into account all the possible combinations when one has fine experimental characterization at the microstructure scale and that one seek to determine the properties of the foam with precision. The manuscript is in preparation and a possible journal for the publication of this manuscript is the journal Materials and Design. 3) The third part focuses on the development of a semi-analytical model defined from an available formula to predict the permeability of a circular orifice in a thin plate. This model, used in an appropriate way, makes it possible to calculate the permeability of foams with a constant bubble size but a tuned membrane content. Numerical validations by finite element computations are proposed. The article has been accepted for publication in the journal Physical Review E. A general introduction (statement of the problem, theoretical and methodological framework, continuity and complementarity of the papers) and a general conclusion complete these three parts, and make it possible to discuss these contributions.
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Van Hai Trinh. Effect of membrane content on the acoustical properties of three-dimensional monodisperse foams: Experimental, numerical and semi-analytical approaches. Acoustics [physics.class-ph]. Université Paris-Est, 2018. English. ⟨tel-01853287⟩

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