Numerical modeling of the processes of deformation and buckling of multilayer shells of revolution under combined quasi-static and dynamic axisymmetric loading with torsion
V. G. Bazhenov, E. Yu. Linnik, E. V. Nagornykh, D. A. Samsonova

References
1.	Vol'mir A. S., Stability of Deformable Systems, Nauka, M., 1967, 984 pp. (in Russian)
2.	Novozhilov V. V., Theory of Thin Shells, Sudpromgiz, L., 1962, 432 pp. (in Russian)
3.	Golovanov A. I., Tyuleneva O. N., Shigabutdinov A. F., Finite element method in statics and dynamics of thin-walled structures, Fizmatlit, M., 2006, 391 pp. (in Russian)
4.	Paimushin V. N., “On the forms of loss of stability of a cylindrical shell under an external side pressure”, Journal of Applied Mathematics and Mechanics, 80:1 (2016), 65–72
5.	Paimushin V. N., “Relationships of the Timoshenko-type theory of thin shells with arbitrary displacements and strains”, Journal of Applied Mechanics and Technical Physics, 55:5 (2014), 843–856
6.	Dash A. P., Velmurugan R., Prasad M. S. R., Sikarwar R. S., “Stability improvement of thin isotropic cylindrical shells with partially filled soft elastic core subjected to external pressure”, Thin-Walled Structures, B, 98 (2016), 301–311
7.	Karam G. N., Gibson L. J., “Elastic buckling of cylindrical shells with elastic cores-I. Analysis”, International Journal of Solids and Structures, 32:8–9 (1995), 1259–1263
8.	Karpov V. V., Bakusov P. A., Maslennikov A. M., Semenov A. A., “Simulation models and research algorithms of thin shell structures deformation Part I. Shell deformation models”, Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 23:3 (2023), 370–410 (in Russian)
9.	Bakulin V. N., “Layer-by-layer analysis of the stress-strain state of three-layer shells with cutouts”, Mechanics of Solids, 54:3 (2019), 448–460
10.	Ivanov V. A., Paymushin V. N., Polyakova T. V., “Investigation of stability loss forms of orthotropic threelayered cylindrical shell under torsion. Bulletin of Nizhny Novgorod University named after N. I. Lobachevsky”, Mechanics, 2000, no. 2(2), 136–146 (in Russian)
11.	Lavrent'yev M. A., Ishlinskiy A. Yu., “Dynamic forms of loss of stability of elastic systems”, Doklady Akademii nauk, 64:6 (1949), 779–782 (in Russian)
12.	Farhat C., Wangc K. G., Main A., Kyriakides S., Lee L.-H., Ravi-Chandar K., Belytschko T., “Dynamic implosion of underwater cylindrical shells: Experiments and Computations”, International Journal of Solids and Structures, 50:19 (2013), 2943–2961
13.	Giezen J. J., Babcock C. D., Singer J., “Plastic buckling of cylindrical shells under biaxial loading”, Experimental Mechanics, 33 (1990), 337–343
14.	Carvelli V., Panzeri N., Poggi C., “Buckling strength of GFRP under-water vehicles”, Composites: Part B, 32 (2001), 89–101
15.	Ghazijahani T. G., Showkati H., “Experiments on conical shell reducers under uniform external pressure”, Journal of Constructional Steel Research, 67 (2011), 1506–1515
16.	Artem'eva A. A., Bazhenov V. G., Kazakov D. A., Kibets A. I., Nagornykh E. V., “Large deformations and limiting states of elastoplastic shells of revolution under combined complex loadings”, Journal of Applied Mathematics and Mechanics, 79:4 (2015), 394–402
17.	Bazhenov V. G., Zefirov S. V., Tsvetkova I. N., “Numerical modeling of problems of non-stationary contact interaction of deformable structures”, Interuniversity Collection, Applied Problems of Strength and Plasticity. Numerical Modeling of Physical and Mechanical Processes, 52, Tovarishchestvo nauchnykh izdaniy KMK, M., 1995, 154–160 (in Russian)
18.	Lomunov V. K., Elastic-plastic Buckling of Smooth, Composite and Reinforced Shells of Rotation Under Axial Impact, Diss. Cand. Sci. (Tech.), Gor'kiy, 1979 (in Russian)
19.	Yartsev V. P., Andrianov K. A., Ivanov D. V., Physico-mechanical and Technological Basis for the Use of Polystyrene Foam for Additional Insulation of Buildings and Structures, Tambov State Technical University Publ, Tambov, 2010, 120 pp. (in Russian)
20.	Pleskachevskiy Yu. M., Leonenko D. V., “Analysis of threeply round cylindrical shells natural frequency in elastic medium (environment)”, Topical Issues of Mechanical Engineering, 1 (2012), 244–246 (in Russian)
21.	Pasternak P. L., Fundamentals of a new method for calculating foundations on an elastic foundation using two bed coefficients, Gosstroyizdat, M., 1954, 56 pp. (in Russian)
22.	Bazhenov V. G., Zhegalov D. V., Pavlenkova Ye. V., “Numerical and experimental study of elastoplastic tension-torsion processes in axisymmetric bodies under large deformations”, Mechanics of Solids, 46:2 (2011), 204–212
23.	Bazhenov V. G., Nagornykh E. V., Samsonova D. A., “Investigation of the Winkler foundation model applicability for describing the contact interaction of elastoplastic shells with a core under external pressure”, PNRPU Mechanics Bulletin, 2020, no. 4, 36–48 (in Russian)