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The most general situation of the reinforcement of a plate with multipleholes by several patches is considered. There is no restriction on the numberand the location of the patches. Two types of the patch attachment areconsidered: only along the boundary of the patch or both along the boundary ofthe patch and the boundaries of the holes which this patch covers. Theunattached boundaries of the holes may be loaded with given in-plane stresses.The mechanical problem is reduced to the system of singular integral equationswhich can be further reduced to the system of Fredholm equations. A newnumerical procedure for the solution of the system of singular integralequations is proposed in this paper. It can be observed that this procedureprovides a noticeable improvement from the one presented in Zemlyanova\cite{Zem2007}, Zemlyanova and Silvestrov \cite{ZemSil2007}, \cite{ZemSil2009}and allows to achieve a significantly better numerical convergence with lesscomputational effort.

Reinforcement of a plate weakened by multiple holes with several patches for different types of a plate-patch attachment