Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2018-4pp.411-417

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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V.N. Bakulin, "Block Based Finite Element Model for Layer Analysis of Stress Strain State of Three-Layered Shells with Irregular Structure," Mech. Solids. 53 (4), 411-417 (2018)
Year 2018 Volume 53 Number 4 Pages 411-417
DOI 10.3103/S0025654418040064
Title Block Based Finite Element Model for Layer Analysis of Stress Strain State of Three-Layered Shells with Irregular Structure
Author(s) V.N. Bakulin (Institute of Applied Mechanics of the Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040 Russia,
Abstract A block based finite element approach is proposed for layer-by-layer analysis of the stress strain state (SSS) of three-layer shells with an irregular structure. The shell aggregate can be modeled by the required number of finite elements over its thickness, which allows to take into account the change in the geometric and physico-mechanical properties of the material and the SSS parameters in all three coordinates to which the shell is related. According to the developed algorithm for constructing the finite elements (FE) of the aggregate, the inner and outer surfaces of the shell are accepted as datum surfaces and in the aggregate elements joined to the bearing layers, the same number of nodes is accepted as in the elements of the bearing layers. The same generalized displacements and approximations as for the elements of the bearing layers are taken as the nodal unknowns and the approximating functions of the aggregate, which allows to avoid errors caused by the breakdown of the generalized displacements on the interfaces between the layers.

The algorithm for constructing a block-based finite element model for the layer-by-layer SSS analysis is considered using the example of irregular three-layer conical shells with moment-carrying layers and three-dimensional aggregate.

As an example, the problem of the stressed state of a three-layer conical shell with a cut-out and a hatch closed with a lid was solved.
Keywords three-layer shells with irregular structure, aggregate, carrier layers, block finite element model for layer-by-layer analysis, shell with a cutout, stress-strain state
1.  V.V. Vasiliev, Mechanics of Structures made of composite materials (Mashinostroenie, Moscow, 1988) [in Russian].
2.  V.N. Bakulin, I.F. Obraztsov, and V.A. Potopakhin, Dynamic Problems of the Nonlinear Theory of Multilayer Shells: Effect of Intensive Thermal-Force Loads, Concentrated Energy Flows (Fizmatlit, Moscow, 1998) [in Russian].
3.  V.N. Bakulin and A.V.  Ostrik, The Complex Effect of Radiation and Particles on Thin-walled Structures with Heterogeneous Coatings (Fizmatlit, Moscow, 2015) [in Russian].
4.  I.F. Obraztsov, V.V. Vasiliev, and V.A. Bunakov, Optimal Reinforcement of the Shells of Rotation of Composite Materials (Mashinostroenie, Moscow, 1977) [in Russian].
5.  V.V. Vasiliev, V.D. Protasov, V.V. Bolotin, et al. Composite Materials. Directory (Mashinostroenie, Moscow, 1990) [in Russian].
6.  V.V. Vasiliev, Mechanics of Composite Structures (Taylor and Francis, Washington, 1993).
7.  V.V. Vasiliev and E.V. Morozov, Mechanics and Analysis of Composite Structures (Elsevier, London 2001).
8.  V.V. Vasiliev and E.V. Morozov, Advanced Mechanics of Composite Structures (Elsevier, London 2007).
9.  V.V. Vasiliev, Composite Pressure Vessels - Analysis, Design and Manufacturing (Bull Rudge Publishing, 2009).
10.  V.N. Bakulin, "A Corrected Model of Layer-by-Layer Analysis of Three-Layer Irregular Conical Shells," Dokl. Ross. Akad. Nauk 472 (3), 272-277 (2017) [Dokl. Phys. (Engl. Transl.) 62 (1), 37-41 (2017)].
11.  V.N. Bakulin, "An Efficient Model for Layer-by-Layer Analysis of Sandwich Irregular Cylindrical Shells of Revolution," Dokl. Ross. Akad. Nauk 478 (2), 148-152 (2018) [Dokl. Phys. (Engl. Transl.) 63 (1), 23-27 (2018)].
12.  V.N. Bakulin and D.V. Bakulin, "Model of Layer-by-Layer Analysis of the Stress Strain State of Layered Inhomogeneous Elastic Shells of Revolution," in XI All-Russian Congress on the Fundamental Problems of Theoretical and Applied Mechanics Proceedings, Kazan, August 20-24, 2015 (Izdatel'stvo Kazanskogo Federal'nogo Universiteta, Kazan, 2015), pp. 301-303 [in Russian].
13.  N.A. Alfutov, P.A. Zinoviev, and B.G. Popov, Calculation of Multilayer Plates and Shells of Composite Materials (Mashinostroenie, Moscow, 1984) [in Russian].
14.  V.N. Bakulin, The Finite Element Method for Studying the Stress Strain State of Three-Layer Cylindrical Shells (CNII Informacii, Moscow, 1985) [in Russian].
15.  A.O. Rasskazov, I.I. Sokolovskaya, and N.A. Shulga, Theory and Calculation of Layered Orthotropic Plates and Shells (Vysshaya Shkola, Kiev, 1986) [in Russian].
16.  V.G. Piskunov, V.E. Verizhenko, V.K. Prisyazhnyuk, V.K. Sipetov, et. al. Calculation of Non-Uniform Flat Shells and Plates by the Finite Element Method (Vysshaya Shkola, Kiev, 1987) [in Russian].
17.  V.N. Bakulin and A.A. Rassoha, The Finite Element Method and Holographic Interferometry in the Mechanics of Composites (Mashinostroenie, Moscow, 1987) [in Russian].
18.  R.B. Rickards, The Finite Element Method in the Theory of Shells and Plates (Zinatne, Riga, 1988) [in Russian].
19.  A.I. Golovanov, O.N. Tyuleneva, and A.F. Shigabutdinov, The Finite Element Method in Statics and Dynamics of Thin-Walled Structures (Fizmatlit, Moscow, 2006) [in Russian].
20.  V.O. Kaledin, S.M. Aulchenko, A.B. Mitkevich, et. al. Modeling Statics and Dynamics of Shell Structures Made of Composite Materials (Fizmatlit, Moscow, 2014) [in Russian].
21.  V.N. Bakulin, "Construction of Approximations for Modeling the Stress Strain State of Carrier Layers and Filler Layers of Three-Layer Nonaxisymmetric Cylindrical Shells," Mat. Model. 18 (8), 101-110 (2006).
22.  V.N. Bakulin "Effective Models for the Refined Analysis of the Deformed State of Three-Layer Nonaxisymmetric Cylindrical Shells," Dokl. Ross. Akad. Nauk 414 (5), 613-617 (2007) [Dokl. Phys. (Engl. Transl.) 52 (6), 330-334 (2007)].
23.  V.N. Bakulin, "Construction of Approximations and Models for the Study of SSS Three-Layer Nonaxisymmetric Cylindrical Shells," Mat. Model. 19 (12), 118-128 (2007).
24.  V.N. Bakulin, "Testing a Finite Element Model Designed to Study the Stress Strain State of Layered Irregular Shells," Mat. Model. 21 (8), 121-128 (2009).
25.  V.N. Bakulin, "Non-Classical Refined Models in the Mechanics of Three-Layer Shells," Vestnik Nizhny Novgorod Univ. 4 (5), 1989-1991 (2011).
26.  V.N. Bakulin and V.V. Repinsky, "Construction of an Effective Finite-Element Model of the Moment Shell of Rotation of Zero Gaussian Curvature," in Proceedings of the VIII International Conference on Non-Equilibrium Processes in Nozzles and Jets (NPNJ 2010), May 25-31, 2010, Alushta (MAI-PRINT Publishing House, Moscow, 2010), pp. 436-438.
27.  V.V. Novozhilov, Theory of thin shells (Sudpromgiz, Leningrad, 1951) [in Russain].
28.  V.V. Repinsky, "Effective Finite Elements for Calculating the Stability of thin Anisotropic Shells of Revolution," Vopr. Obor. Teck. Ser. 15. Iss. 1 (117), 3-7 (1997).
29.  V.N. Bakulin and V.V. Repinsky, "Finite-Element Models of Deformation of Single-Layer and Three-Layer Conical Shells," Mat. Model. 13 (6), 39-46 (2001).
30.  V.N. Bakulin, "The Refined Model for Calculating the Stress Strain State of Three-Layer Conical Shells of Revolution," Vest. Mosk. Aviats. Inst. 18 (2), 211-218 (2011).
31.  A.M. Matveenko and B.V. Nerubaylo, "Questions of Strength, Stability and Reliability of Structures," Ed. by A.M. Matveenko (MAI, Moscow, 2013) [in Russian].
32.  V.N. Bakulin and V.V. Repinsky, "Calculation of Conical Shells Under Local Loads by Finite Element Method," in Proceedings of the XIX International Conference on Computational Mechanics and Modern Applied Software Systems, May 25-31, 2010, Alushta (MAI, Moscow, 2015), pp. 206-208 [in Russian].
Received 22 January 2018
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