과제정보
The authors would like to express their appreciations to the administration of National University of Uzbekistan for their financial and overall support and assistance in software package development. The authors also express their appreciation to Prof. Kurmanbaev B. for valuable advices given during analysis of the calculation results. We also acknowledge the valuable assistance of Associate Prof. Gaynazarov S. with computational experiments, of Associate Prof. N. Kadirova for the preparation of articles for publication, F. Polatov, M.Sc., for article translation and edition.
참고문헌
- Annin B.D., Korobeinikov S.N. and Babichev A.V. (2009), "Computer simulation of a twisted nanotube buckling", J. Appl. Ind. Math., 3, 318-333. https://doi.org/10.1134/S1990478909030028
- Bertram, A. and Gluge, R. (2015), Solid Mechanics: Theory, Modeling and Problems, Springer International Publishing Switzerland.
- Brovko G.L., Bykov D.L., Vasin R.A., Georgievskii D.V., Kiiko I.A., Molodtsov I.N. and Pobedrya B.E. (2011), "A.A. Il'yushin's scientific heritage and development of his ideas in mechanics", Mech. Solids, 46(1), 3-14. https://doi.org/10.1016/j.prostr.2017.11.022.
- Carrillo J.A., Ranetbauer H. and Wolfram M.T. (2016), "Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms", arXiv preprint. arXiv:1605.05921v2, 1-24.
- Fedorov S.V., Veldanov V.A. and Smirnov V.E. (2015), "Numerical analysis of high density alloys and elongated projectiles' velocity and strength effect on their penetration into a steel target", HERALD of the BMSTU Series Mechanical Engineering, 1, 65-82.
- Guz A.N. and Kokhanenko Yu. V. (2001), "Numerical solution of three-dimensional stability problems for elastic bodies", Int. Appl. Mech., 37(11),1369-1399. https://doi.org/10.1023/A:1014261430281.
- Hart E.L., Hudramovich V.S., Ryabokon S.A. and Samarskaya E.V. (2013), "Numerical simulation of stress-strain state for nonhomogeneous shell-type structures based on the finite element method", Model. Numer. Simul. Mater. Sci., 3, 155-157. https://doi.org/10.4236/mnsms.2013.34022.
- Hudramovich V., Hart E. and Ryabokon S. (2013), "Elastoplastic Deformation of Nonhomogeneous Plates", Journal of Engineering Mathematics, 78(1), 181-197. http://dx.doi.org/10.1007/s10665-010-9409-5.
- Kurapati, S.N.V.R.K. (2008), " Elastic-plastic indentation deformation in homogeneous and layered materials: Finite element analysis", Master's Theses, University of Kentucky.
- Meleshko V.A. and Rutman Y.L. (2017), "Generalized flexibility method by the example of plane elastoplastic problem", Procedia Structural Integrity, 6, 140-145. https://doi.org/10.1016/j.prostr.2017.11.022.
- Mikhlin S.G. (1983), "Stability of the solutions of one-sided variational problems with applications to the theory of plasticity", J. Soviet Math., 22, 1207-1225. https://doi.org/10.1007/BF01460273.
- Neuber, H. (1946), Theory of Notch Stresses, Edwards, London, U.K.
- Pobedrya B.E. and Gorbachev V.I. (1981), "Stress and strain concentration in composite materials", Mech. Compos. Mater., 20(2), 141-148. https://doi.org/10.1007/BF00610353
- Polatov A.M., Ikramov A.M. and Razmukhamedov D.D. (2020), "Finite element modeling of multiply connected three-dimensional areas", Adv. Comput. Des., 5(3). 277-289. https://doi.org/10.12989/acd.2020.5.3.277 277
- Robert M.J. (2009), Deformation Theory of Plasticity, Bull Ridge Corporation.
- Rutman Y.L., Meleshko V.A. and Ivanov A.Y. (2018), "Elastoplastic analysis methods and capacity curve developing features", Adv. Civil Eng. Technol., 2(3), 216-218. https://doi.org/10.31031/ACET.2018.02.000543.
- Tadmor E. (2012), "A review of numerical methods for nonlinear partial differential equations", Bull. Am. Math. Soc., 49(4), 507-554. https://doi.org/10.1090/S0273-0979-2012-01379-4
- Timoshenko, S.P. and Goodier, J.N. (1970), Theory of Elasticity, McGraw-Hill, New York, U.S.A.
- Tomashevsky S.B. (2011), "The influence of elastic-plastic deformations on the results of solving contact problems of railway transport", Bull. Bryansk State Tech. Univ., 3, 17-23.
- Wong M.B. (2009), Plastic Analysis and Design of Steel Structures", Butterworth-Heinemann, Elsevier. http://doi.org/10.1016/B978-0-7506-8298-5.X0001-4
- Zienkiewicz O.C. Taylor R.L. and Fox D.D. (2014), The Finite Element Method for Solid and Structural Mechanics, Elsevier.