Theory of shells
Zhilin's early works, Ph.D. [1] and Professor theses were devoted to the
development of the theory of shells. When Zhilin started his
research in this area, there existed no general theory of shells.
For each class of shell-type constructions there were developed
particular independent theories: the theory of thin single-layer shells; the
theory of engineering anisotropic shells; the theory of ribbed shells; the
theory of thin multi-layer shells; the theory of perforated shells; the theory
of cellular shells; the theory of thick single-layer shells,
and many others. Within each theory one could distinguish
several versions, which differed in basic assumptions as well as
in final equations. The theories of shells are
still being developed since the science gives birth to new
constructions that can not be described within the existing
variety of theories. Zhilin created (1975 - 1984) the general
nonlinear theory of thermoelastic shells, whose way of construction
fundamentally differs from the one of all known versions of
shell theories, and can be easily generalised for any shell-like
constructions and other objects of continuum mechanics. This
approach is comprehensively described in work [2 - 4].
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Zhilin P.A. Linear theory of ribbed shells.
Summary of PhD thesis for application to the degree of Cand. Sci. (Ph.D.) in Physical and
Mathematical Sciences. Leningrad, 1968. 15 pages. (In Russian.)
-
Zhilin P.A. Applied mechanics.
Foundations of shells theory. Tutorial book. St. Petersburg State Polytechnical University.
2006. 167 p. (In Russian.)
- Zhilin P.A. Mechanics of Deformable Surfaces. The Danish
Center for Appl. Math and Mech. Report N 89. 1975. P. 1-29.
- Zhilin P.A. Mechanics of Deformable Directed Surfaces. Int.
J. Solids Structures. 1976. Vol. 12. P. 635-648.
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