Etude de quelques problèmes d'homogénéisation en fonction des valeurs relatives de leurs différents paramétres

Abstract : The first part of this work meets requirements of the C.E.A. It concerns the construction of a device assigned to the stocking of radioactive waste. This one is constituted with tunnels and wells, that are periodically distributed. Tunnels and wells are impacted in filling material, for which an optimal permeability is inquired, in the hope of limiting water infiltration and leak of radioactive material. Then, excavations constitute drains which angle water infiltration towards themselves. Characteristic parameters of the problems are the period (epsilon), the ratio between the altitude of the device and the period (delta), and the ratio between the permeabilities of the two materials (êta). We study several kind of structures, and we pass to the limit in different orders according to the relative size of the different parameters. In the second part, we study an evolution an evoltion problem defined on a perforated thin plate. Characteristic parameters of the problem are the thickness of the plate, the period of the holes, and the ratio between this period and the thickness of the bars. We make these three parameters tend towards zero, and we give the coefficients of the limit material. In particular, we show that bars which do not completely cross the period have no role
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Souad El Otmani. Etude de quelques problèmes d'homogénéisation en fonction des valeurs relatives de leurs différents paramétres. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1994. Français. ⟨NNT : 1994METZ039S⟩. ⟨tel-01776742⟩

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