TITLE:
Asymptotic Expansion of Temperature Close to a Singularity of a Plate
AUTHORS:
Isabelle Titeux
KEYWORDS:
Thin Plate, Boundary Layers, Singularities, Asymptotic Expansion
JOURNAL NAME:
World Journal of Mechanics,
Vol.1 No.3,
July
6,
2011
ABSTRACT: The thermal conduction in a thin laminated plate is considered here. The lateral surface of the plate is not regular. Consequently, the boundary of the middle plane admits a geometrical singularity. Close to the origin, the lateral edge forms an angle. We shall prove that the classical bidimensional problem associated with the thin plate problem is not valid. In this paper, using the boundary layer theory, we describe the local behavior of the plate, close to the perturbation.