Geodesic
Bending of multiconnected anisotropic plates with the curvilinear holes
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 16 (2016) no. 4, pp. 456-464

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An approximate method for determination of the stress state of thin plates with curvilinear holes, consisting in the use of the complex potential theory of bending of anisotropic plates, approximating the contours of holes by ellipse arcs and straight sections, the use of conformal mapping, presentation of complex potentials by Laurent series and determining the unknown series coefficients of the generalized least squares method. Isotropic plates are considered as a special case of anisotropic plates. Numerical studies carried out for plates with square or triangular holes. Studies have established a high degree of accuracy of the results. Significant differences were noted in the literature known from the real results obtained by this approach. 
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     author = {S. A. Kaloerov and A. I. Zanko},
     title = {Bending of multiconnected anisotropic plates with the curvilinear holes},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {456--464},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2016_16_4_a10/}
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S. A. Kaloerov; A. I. Zanko. Bending of multiconnected anisotropic plates with the curvilinear holes. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 16 (2016) no. 4, pp. 456-464. http://geodesic.mathdoc.fr/item/ISU_2016_16_4_a10/