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KIAM Preprint № 33, Moscow, 2016
Authors: Zveryayev E. M.
Constructive theory of thin elastic shell
Abstract:
The problem of the shell theory equations is solved in general way for the mathematical physics. The 3D equations in the curvilinear coordinates transform to the dimensionless form permitting the small characterizing allocate the shell thinness parameter. Six boundary conditions on the face surfaces determine the three non-tangential strains according to the given surface load. The identity transformation of the equations reduces them to the form permitting determine the rest unknowns after the initially appointed displacements and strains in concordance with the iteration treat of the semi-invers Sent-Venan method.
Keywords:
shell theory, Sent-Venan method, mapping contraction principle, iterations, Timoshenko-Reissner complement
Publication language: russian,  pages: 25
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Zveryayev Evgeny Mihajlovich,  orcid.org/0000-0001-8097-6684KIAM RAS