Abstract
A condition is derived for membrane deformation of a shallow transfer shell that is in a given force and temperature field and a specific example is examined for its application.
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Abbreviations
- T1, T2, S:
-
generalized forces acting at normal sections of the shell
- ɛ1, ɛ2, γ12 :
-
changes in linear elements of the middle surface and the angles between them
- ⊖:
-
change in temperature averaged over the shell thickness
- E, μ:
-
Young's modulus and the Poisson ratio of the shell
- h:
-
thickness
- α:
-
coefficient of temperature expansion
- A, B, R1, R2 :
-
coefficients of the first quadratic form, and the ratio of principal curvature of the shell middle surface
- q1, q2, qn :
-
external surface load components in the direction of the coordinate lines and the normal
- T:
-
temperature field
Literature cited
G. P. Cherepanov and L. V. Ershov, Fracture Mechanics [in Russian], Moscow (1977).
V. L. Biderman, Mechanics of Thin-Walled Structures. Statics [in Russian], Moscow (1977).
A. L. Gol'denveizer, Theory of Elastic Thin Shells [in Russian], Moscow (1976).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 56, No. 5, pp. 819–823, May, 1989.
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Martynenko, M.D., Garib, G.M. & Moroz, S.V. Thermoelastic shallow transfer shells equally stressed over the thickness. Journal of Engineering Physics 56, 586–589 (1989). https://doi.org/10.1007/BF01297612
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DOI: https://doi.org/10.1007/BF01297612