The Finite Element Desired Quantities Invariant Approximation Method in the Thin Shells Calculation Based on the Timoshenko Hypothesis

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The displacement vector components vector (invariant) approximation implementation and the initial inclination angles by the hypothesis of S. P. Tymoshenko in obtaining the thin shell quadrangular finite element nodal forces stiffness matrix and the column is shown.

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676-680

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December 2019

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© 2020 Trans Tech Publications Ltd. All Rights Reserved

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[1] V.V. Novozhilov, Theory of thin shells, Publishing house of S.-Petersburg University, Saint-Petersburg, (2010).

Google Scholar

[2] S.P. Timoshenko, S. Voinovsky-Krieger, Plate and shell, Science, Moscow, (1966).

Google Scholar

[3] R.A. Kayumov, I.Z. Mukhamedova, G.F. Khaziyeva, Loss of stability of sheet oblique consoles, News of the Kazan State University of Architecture and Civil Engineering. 3 (45) (2018) 129-135.

Google Scholar

[4] Kim A.Yu., S.V. Polnikov, Strengthening of soft shells of pneumatic structures with steel ropes and arches, In the collection: prospects for the development of science and education, collection of scientific papers based on the materials of the IV International Scientific and Practical Conference. Edited by A.V. Tugolukov (2016) 107-109.

Google Scholar

[5] P.A. Akimov, A.M. Belostosky, T.B. Kaytukov, M.L. Mozgaleva, M. Aslami, About several numerical and semianalytical methods of local structural analysis, International Journal for Computational Civil and Structural Engineering. 14 (4) (2018) 59-69.

DOI: 10.22337/2587-9618-2018-14-4-59-69

Google Scholar

[6] F. Aldakheel, B. Hudobivnik, and P. Wriggers, Virtual element formulation for phase-field modeling of ductile fracture," Submitted to International Journal for Multiscale Computational Engineering, (2018).

DOI: 10.1615/intjmultcompeng.2018026804

Google Scholar

[7] A.S. Chepurnenko, B.M. Yazyev, M.S. Turko, Calculation of cylindrical corrugated structures using semi-analytical finite element method, Construction and technological safety. 12 (64) (2018) 49-56.

DOI: 10.4028/www.scientific.net/msf.931.3

Google Scholar

[8] A.V. Ignatiev, V.A. Ignatiev, E.A. Gamzatova, Calculation of thin plates by the method of finite elements in the form of the classical mixed method with the exception of the movement of finite elements as a rigid whole, News of higher educational institutions. Building. 3 (711) (2018) 5-13.

Google Scholar

[9] P. Wriggers, B. Hudobivnik, J. Schrode, Finite and virtual element formulations for large strain anisotropic material with inextensive bers, in Multiscale Modeling of Heterogeneous Structures (J. Soric and P. Wriggers, eds.), (Cham), Springer International, (2017).

DOI: 10.1007/978-3-319-65463-8_11

Google Scholar

[10] Nguyen Nhung, Waas Anthonym, Nonlinear, finite deformation,finite element analysis, ZAMP. Z. Angew. math.and Phys. 9 (67) (2016) 351-352.

DOI: 10.1007/s00033-016-0623-5

Google Scholar

[11] S.L. Paznanova, G.P. Vasilev, P.S. Dineva, G.D. Manolis, Dynamic analysis of nanoheterogeneities in a finite-sized solidby boundary and finite element methods, Int. J. Solids and Struct. 80 (2016) 1-18.

DOI: 10.1016/j.ijsolstr.2015.10.016

Google Scholar

[12] L.I. Sedov, Continuum mechanics. T.1, Science, Moscow, (1976).

Google Scholar