Abstract
The energy-asymptotic method is used to construct the boundary layers and the internal stress-strain state of a shallow shell. The basic equations are represented in the form of the displacement method. The efficiency of the method is shown.
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References
I. I. Vorovich, “General representations of the solutions equations of the theory of multilayer anisotropic shells,”Prikl. Mat. Mekh.,29, No. 2, 17–21 (1965).
I. I. Vorovich and O. S. Malkina, “The stress state of a thick plate,”Prikl. Mat. Mekh.,31, No. 2, 230–241 (1967).
A. L. Gol'denveizer, “An asymptotic method of constructing the theory of shells,” in:Proc. 1st All-Union School on The Theory and Numerical Methods for Design of Shells and Plates [in Russian], Tbilisi (1975), pp. 151‐213.
O. L. Kordyuk, A. V. Plekhanov, and A. P. Prusakov, “Solution of the problem on the stress concentration in a plate,”Prikl. Mekh.,16, No. 6, 134–137 (1980).
A. S. Kosmodamianskii and V. A. Shaldyrvan,Thick Multiply Connected Plates [in Russian], Naukova Dumka, Kiev (1978).
A. S. Kosmodamianskii and V. A. Shaldyrvan, “Bending of a thick plate weakened by a cavity,”Prikl. Mekh.,10, No. 5, 151–167 (1974).
A. I. Lurie, “The theory of thick plates,”Prikl. Mat. Mekh.,6, No. 2-3, 151–167 (1942).
B. L. Pelekh and A. A. Syas'kii,Stress Distribution Near Holes in Easily Sheared Anisotropic Shells [in Russian], Naukova Dumka, Kiev (1975).
A. V. Plekhanov and A. P. Prusakov, “One asymptotic method of constructing the theory of bending of plates of medium thickness,”Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 84–90 (1976).
A. P. Prusakov, “Creating the theory of bending of medium-thickness plates by the energy-asymptotic method,”Prikl. Mekh.,11, No. 10, 41–51 (1975).
A. P. Prusakov, “Constructing the bending equations of the twelfth order for a transversally isotropic plate,”Prikl. Mekh.,29, No. 12, 51–58 (1993).
A. P. Prusakov, “The theory of bending of laminated plates,”Prikl. Mekh.,33, No. 3, 64–70 (1997).
I. Yu. Khoma,The Generalized Theory of Anisotropic Shells [in Russian], Naukova Dumka, Kiev (1986).
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Pridneprovskaya Academy of Building and Architecture, Dnepropetrovsk, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 36, No. 2, pp. 99–104, February, 2000
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Prusakov, A.P. Constructing boundary layers for a shallow shell by the energy-asymptotic method. Int Appl Mech 36, 234–240 (2000). https://doi.org/10.1007/BF02681998
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DOI: https://doi.org/10.1007/BF02681998