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A new system of boundary integral equations for plates with free edges

✍ Scribed by Jean Giroire; Jean-Claude Nédélec

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
620 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We present a new system of boundary integral equations for the free‐edge plate. This system expresses an abstract symmetric variational problem posed on the boundary of the plate. In order to obtain this abstract problem, we must set the exterior boundary value problem corresponding to the free‐edge plate in a framework of weighted Sobolev spaces. Finally, we take care of the hypersingular kernels appearing in our system of BIEs, by using an abstract technique of integration by parts.

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