Croissance, compaction et adhésion de plaques minces

Abstract : From a general point of view, my thesis deals with the links between the geometry and the shape of an object. It is composed of three main chapters. In the first one, we use "electro-active polymers", systems that undergo planar expansion when submitted to an electric field, to mimic a kind of biological growth. We looked at how an inhomogeneous growth can trigger buckling instability in this electro-active plate. We then tried to control locally this growth, hoping to create objects that can change shape on command. In the second chapter, we studied the opposite problem: instead of giving it a new natural shape, we force the object in adopting a non natural shape. We squashed hemispherical elastic caps. Changing a sphere into a plane is not an isometrical transformation, this operation thus creates strains in the object. We studied the mecanical instability hence produced. Finally we focused on the "contact lens" problem by wondering if it is possible to stick two spherical caps having different curvature. Here again, the mismatch of Gaussian curvature leads to patterns of instability in the elastic shell
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Hadrien Bense. Croissance, compaction et adhésion de plaques minces. Physique [physics]. Université Sorbonne Paris Cité, 2017. Français. ⟨NNT : 2017USPCC228⟩. ⟨tel-02133639⟩

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