Asymptotic Expansion of Temperature Close to a Singularity of a Plate

DOI: 10.4236/wjm.2011.13015   PDF   HTML   XML   4,542 Downloads   8,351 Views  


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.

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I. Titeux, "Asymptotic Expansion of Temperature Close to a Singularity of a Plate," World Journal of Mechanics, Vol. 1 No. 3, 2011, pp. 109-114. doi: 10.4236/wjm.2011.13015.

Conflicts of Interest

The authors declare no conflicts of interest.


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