Geodesic
Spline-collocation method and its modification in the problems of static bending of thin orthotropic rectangular plate
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 1, pp. 78-82 
O. M. Romakina; Yu. V. Shevtsova. Spline-collocation method and its modification in the problems of static bending of thin orthotropic rectangular plate. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 1, pp. 78-82. http://geodesic.mathdoc.fr/item/ISU_2010_10_1_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A numerical method for determining the stress-strain state (SSS) of a bended thin rectangular plate with non-classical boundary conditions is presented. Numerical results for three different materials can be used to estimate the influence of the material anisotropy and boundary conditions on its SSS.

[1] Lekhnitskii S. G., Anizotropnye plastinki, GITTL, M., 1957, 463 pp.

[2] Grigorenko Ya. M., Kryukov N. N., “Reshenie zadach teorii plastin i obolochek s primeneniem splain-funktsii (Obzor)”, Prikl. mekhanika, 31:6 (1995), 3–26 | MR

[3] Zavyalov Yu. S., Kvasov Yu. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980, 352 pp. | MR

[4] Nedorezov P. F., Shevtsova Yu. V., Romakina O. M., “Modifitsirovannyi metod splain-kollokatsii v zadachakh izgiba pryamougolnykh plastinok”, Matematicheskoe modelirovanie i kraevye zadachi, Tr. Vtoroi Vseros. nauch. konf., Ch. 1, Izd-vo Samar. gos. tekhn. un-ta, Samara, 2005, 203–209

[5] Shevtsova Yu. V., “Primenenie modifitsirovannogo metoda splain-kollokatsii v zadachakh izgiba ortotropnykh pryamougolnykh plastinok”, Problemy prochnosti elementov konstruktsii pod deistviem nagruzok i rabochikh sred, Sb. nauch. tr., Izd-vo Sarat. gos. tekhn. un-ta, Saratov, 2005, 146–149