  Mechanics of Solids A Journal of Russian Academy of Sciences   Founded
in January 1966
Issued 6 times a year
Print ISSN 00256544 Online ISSN 19347936 
Archive of Issues
Total articles in the database:   4893 
In Russian (Èçâ. ÐÀÍ. ÌÒÒ):   2340

In English (Mech. Solids):   2553 

<< Previous article  Volume 53, Issue 4 / 2018  Next article >> 
V.N. Bakulin, "Block Based Finite Element Model for Layer Analysis of Stress Strain State of ThreeLayered Shells with Irregular Structure," Mech. Solids. 53 (4), 411417 (2018) 
Year 
2018 
Volume 
53 
Number 
4 
Pages 
411417 
DOI 
10.3103/S0025654418040064 
Title 
Block Based Finite Element Model for Layer Analysis of Stress Strain State of ThreeLayered 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, vbak@yandex.ru) 
Abstract 
A block based finite element approach is proposed for layerbylayer analysis of the stress strain state (SSS) of threelayer 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 physicomechanical 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 blockbased finite element model for the layerbylayer SSS analysis is considered using the example of irregular threelayer conical shells with momentcarrying layers and threedimensional aggregate.
As an example, the problem of the stressed state of a threelayer conical shell with a cutout and a hatch closed with a lid was solved. 
Keywords 
threelayer shells with irregular structure, aggregate, carrier layers, block finite element model for layerbylayer analysis, shell with a cutout, stressstrain state 
References 
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 ThermalForce 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 Thinwalled 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 LayerbyLayer Analysis of ThreeLayer Irregular Conical Shells,"
Dokl. Ross. Akad. Nauk
472 (3), 272277 (2017)
[Dokl. Phys. (Engl. Transl.)
62 (1), 3741 (2017)]. 
11.  V.N. Bakulin,
"An Efficient Model for LayerbyLayer Analysis of Sandwich Irregular Cylindrical Shells of Revolution,"
Dokl. Ross. Akad. Nauk
478 (2), 148152 (2018)
[Dokl. Phys. (Engl. Transl.)
63 (1), 2327 (2018)]. 
12.  V.N. Bakulin and D.V. Bakulin,
"Model of LayerbyLayer Analysis of the Stress Strain State of Layered Inhomogeneous Elastic Shells of Revolution,"
in XI AllRussian Congress on the Fundamental Problems of Theoretical and Applied Mechanics Proceedings, Kazan, August 2024, 2015
(Izdatel'stvo Kazanskogo Federal'nogo Universiteta, Kazan, 2015), pp. 301303 [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 ThreeLayer 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 NonUniform 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 ThinWalled 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 ThreeLayer Nonaxisymmetric Cylindrical Shells,"
Mat. Model.
18 (8), 101110 (2006). 
22.  V.N. Bakulin
"Effective Models for the Refined Analysis of the Deformed State of ThreeLayer Nonaxisymmetric Cylindrical Shells,"
Dokl. Ross. Akad. Nauk
414 (5), 613617 (2007)
[Dokl. Phys. (Engl. Transl.)
52 (6), 330334 (2007)]. 
23.  V.N. Bakulin,
"Construction of Approximations and Models for the Study of SSS ThreeLayer Nonaxisymmetric Cylindrical Shells,"
Mat. Model.
19 (12), 118128 (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), 121128 (2009). 
25.  V.N. Bakulin,
"NonClassical Refined Models in the Mechanics of ThreeLayer Shells,"
Vestnik Nizhny Novgorod Univ.
4 (5), 19891991 (2011). 
26.  V.N. Bakulin and V.V. Repinsky,
"Construction of an Effective FiniteElement Model of the Moment Shell of Rotation of Zero Gaussian Curvature,"
in Proceedings of the VIII International Conference on NonEquilibrium Processes in Nozzles and Jets (NPNJ 2010), May 2531, 2010, Alushta (MAIPRINT Publishing House, Moscow, 2010), pp. 436438. 
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), 37 (1997). 
29.  V.N. Bakulin and V.V. Repinsky,
"FiniteElement Models of Deformation of SingleLayer and ThreeLayer Conical Shells,"
Mat. Model.
13 (6), 3946 (2001). 
30.  V.N. Bakulin,
"The Refined Model for Calculating the Stress Strain State of ThreeLayer Conical Shells of Revolution,"
Vest. Mosk. Aviats. Inst.
18 (2), 211218 (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 2531, 2010, Alushta
(MAI, Moscow, 2015), pp. 206208 [in Russian]. 

Received 
22 January 2018 
Link to Fulltext 
https://link.springer.com/article/10.3103/S0025654418040064 
<< Previous article  Volume 53, Issue 4 / 2018  Next article >> 

If you find a misprint on a webpage, please help us correct it promptly  just highlight and press Ctrl+Enter

