• Prof. Bashir Nour Kharrat
• Dec 31, 1994

Approximate solution for partial differential equations of a non-homogeneous thick plate

In this paper, we give an approximate mathematical model of a periodically non-homogeneous Love-Kirchhoff plate with periodic inclusions or perforations. Dealing with the variational formulation, we prove the existence and the uniqueness of a weak solution. The asymptotic expansion is used to derive the homogenized approximate problem and the first correction term. The use of the finite element method in such case is very complicated. The homogenization method 1,6 leads to replace this complicated finite element problem in the whole domain by two simple problems in one cell Y.

app.published_in

• Mans.Sci.Bull.vol22(2) P137-148 - 1994