Journal ArticleDOI
Study of a perforated thin plate according to the relative sizes of its different parameters
Reads0
Chats0
TLDR
In this paper, the authors studied the dependence of displacements on a thin plate, periodicially perforated by cylindrical holes, the axes of which are perpendicular to the plane of the plate.Abstract:
We are interested in the study of a thin plate, periodicially perforated by cylindrical holes, the axes of which are perpendicular to the plane of the plate. A horizontal section of the plate specifies its geometry, and shows a periodicity in the order of E. The thickness of the plate is equal to e. The ratio of material is small, and is characterized by the parameter 6, the thickness of the bars being equal to ~6. In this paper, we study the dependence of displacements on e, E and 6, and to give equivalent limits when e, then E, and finally 6, tend towards zero. An interesting result obtained in this work is the negative Poisson coefficient of the final equivalent material. Although this coefficient is theoretically between - $ and 1, most materials encoun- tered in practice have a positive one.read more
References
More filters
Journal ArticleDOI
Homogenization in open sets with holes
TL;DR: In this paper, the authors considered the problem of elastic torsion of a cylindrical bar with an increasing number of holes which are distributed periodically, and they proved that the problem is solvable using the energy method.
Journal ArticleDOI
A justification of the von Kármán equations
TL;DR: In this paper, the authors apply the method of asymptotic expansions to the nonlinear, three-dimensional, equations for the equilibrium of a special class of elastic plates under suitable loads.
Dissertation
Analyse mathematique de quelques modeles de plaques et de poutres elastiques ou elasto-plastiques
Dissertation
Etude de quelques problèmes d'homogénéisation en fonction des valeurs relatives de leurs différents paramétres
TL;DR: In this article, a besoin exprime par le commissariat a l'energie atomique, and relatif a la construction d'un systeme de stockage de dechets is described.
Dissertation
Etude de problèmes d'homogénéisation définis sur des plaques minces perforées périodiquement
TL;DR: In this article, the authors define a problem avec condition aux bords de type Fourier defini sur a plaque de meme type, and faisons tendre, dans un premier temps, l'epaisseur de la plaque puis la taille de la periode vers zero (dans cet ordre).