asymptotic methods, stability, static and dynamic problems of shell theory, mathematical simulation in ophthalmology.
Subject:
Asymptotic relations, describing the effect of the imperfections of the shell neutral surface on the stability of cylindrical, spherical shells and shells almost cylindrical or spherical are obtained. A number of papers written in co-authering with ophthalmologists are devoted to the mathematical simulation in ophthalmology.
Biography
Graduated from the Faculty of Mathematics and Mechanics, St. Petersburg State University (Department of Theoretical and Applied Mechanics). Ph.D. degree was obtained in 1980. A list of publications contains more than 70 titles.
Main publications:
Bauer S. M., Filippov S. B., Smirnov A. L.,Tovstik P. E. Asymptotic Methods in Meechanics with applications to thin shells and plates // Asymptotic Methods in Mechanics, AMS, 1993, p. 3–140.
Bauer S. M. On the stability of Spherical shells with imperfections // Integral methods in science and engineering. Pitman Res. Notes in Math. Ser. 1997, V. 375, p. 40–45.
Bauer S. M., Tovstik P. E. Buckling of Spherical Shells under Concentrated Load and Internal Presure // Technische Mechanik, Band 18, H. 2, 1998, p. 135–139.
S. M. Bauer, E. B. Voronkova, “On asymmetrical equilibrium states of annular plates under normal pressure”, Izv. Saratov Univ. Math. Mech. Inform., 24:1 (2024), 28–34
2023
2.
S. M. Bauer, L. A. Venatovskaya, E. B. Voronkova, “Solid mechanics models in application to ophthalmology”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:4 (2023), 686–712
2022
3.
S. M. Bauer, E. B. Voronkova, B. N. Semenov, “On non-axisymmetrical buckling modes ofcircular plates under normal pressure”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022), 417–425; Vestn. St. Petersbg. Univ., Math., 9:3 (2022), 417–425
S. M. Bauer, E. B. Voronkova, “On non-axisymmetric buckling modes of inhomogeneous circular plates”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:2 (2021), 204–211; Vestn. St. Petersbg. Univ., Math., 8:3 (2021), 113–118
S. M. Bauer, E. B. Voronkova, “Influence of boundary constraints on the appearance of asymmetrical equilibrium states in circular plates under normal pressure”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2020), 38–46
S. M. Bauer, E. B. Voronkova, “On the unsymmetrical buckling of shallow spherical shells
under internal pressure”, Izv. Saratov Univ. Math. Mech. Inform., 18:4 (2018), 390–396
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