Nonlinear Strength Calculation of Shell Structure of Arbitrary Shape Based on FEM

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This article discusses the algorithm for calculating the shell structure of arbitrary shape, taking into account the physical nonlinearity of the material used. In determining the parameters of the stress-strain state, a step loading procedure was used. Algorithm for calculating the shell structure of arbitrary shape, taking into account the physical nonlinearity of the used material is discussed in this article. In determining the parameters of the stress-strain state, a step loading procedure was used.

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681-686

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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. Karpov, O. V. Ignatev, A. A. Semenov, The stress-strain state of ribbed shell structures Magazine of Civil Engineering 74(6) (2017) 147-160.

Google Scholar

[2] V A Ignatiev, Calculation of plane frames with large displacement of nodes by the finite element method in the form of the classical mixed method, Journal of Construction and reconstruction, 2(58) (2015) 12-19.

Google Scholar

[3] V. A. Kozlov, Stress-strain of elements in bridge structures with varying thickness of walls along the length, Russian Journal of Building Construction and Architecture. 1(37) (2018) 67-80.

Google Scholar

[4] R. A. Kayumov, Post buckling behavior of compressed rods in an elastic medium, Mechanics of Solids. 52(5) (2017) 575-580.

DOI: 10.3103/s0025654417050120

Google Scholar

[5] K.P. Pyatikrestovsky, B.S. Sokolov, Nonlinear analysis of statically indeterminate wooden structures and optimization of cross section dimensions of dome ribs, International Journal for Computational Civil and Structural Engineering. 14(4) (2018) 130-139.

DOI: 10.22337/2587-9618-2018-14-4-130-139

Google Scholar

[6] C. Miehe, F. Welschinger, F. Aldakheel, Variational gradient plasticity at finite strains, Computer Methods in Applied Mechanics and Engineering. 268 (2014) 704-734.

DOI: 10.1016/j.cma.2013.07.015

Google Scholar

[7] L. P. Zheleznov, V. V. Kabanov, D. V. Boiko, Nonlinear Deformation and Stability of Discrete-Reinforced Elliptical Cylindrical Composite Shells under Torsion and Internal Pressure, Russian Aeronautics, 61(2) (2018) 175-182.

DOI: 10.3103/s1068799818020046

Google Scholar

[8] Y.V. Klochkov, A.P. Nikolaev and A.Sh. Dzhabrailov, Finite element analysis of axisymmetrically loaded shells of rotation with branching meridian under elastic-plastic deformation, Journal of Structural Mechanics of Engineering Constructions and Buildings. 3 (2013) 50-56.

Google Scholar

[9] P. Wriggers, B. Hudobivnik, Allow order virtual element formulation for finite elastic-plastic deformation, Computer Methods in Applied Mechanics and Engineering. 53(8) (2017) 123-129.

DOI: 10.1016/j.cma.2017.08.053

Google Scholar

[10] J. Korelc, S. Stupkiewicz, Closed-form matrix exponential and its application in finite strain plasticity International Journal for Numerical Methods in Engineering. 98 (2014) 960-987.

DOI: 10.1002/nme.4653

Google Scholar

[11] V. P. Agapov, R. O. Golovanov, Comparative analysis of the simplest finite elements of plates in bending. Advances in Intelligent Systems and Computing. (2018) 1009-1016.

DOI: 10.1007/978-3-319-70987-1_109

Google Scholar

[12] V. P. Agapov, R. O. Golovanov, K. R. Aidemirov, Calculation of load bearing capacity of prestressed reinforced concrete trusses by the finite element method. IOP Conference Series: Earth and Environmental Science. 90 (2017) (2018).

DOI: 10.1088/1755-1315/90/1/012018

Google Scholar

[13] E. A. Souza Neto, D. Peric, D. R. Owen, Computational Methods for Plasticity, Theory and Applications. Chichester: Wiley (2008).

Google Scholar

[14] I.B. Badriev, V.N. Paimushin, Refined models of contact interaction of a thin plate with postioned on both sides deformable foundations. Lobachevskii Journal of Mathematics. 38(5) (2017) 779-793.

DOI: 10.1134/s1995080217050055

Google Scholar

[15] K. Yu. Bate, Numerical methods, Moscow, Physics and mathematics. (2010) 1022.

Google Scholar