The paper analyzes the possibility of applying five different strength criteria (maximum stress criterion, Mises-Hill, Pisarenko-Lebedev, Fisher, Goldenblat-Kopnov) to calculating the strength of orthotropic shell structures. We consider shallow shells of double curvature, square in plan, panels of cylindrical and conical shells. A geometrically nonlinear mathematical model of their deformation, taking into account transverse shearing, is used. For calculations, the characteristics of modern orthotropic materials are used, such as fiberglass and CFRP. An increase in the areas of the failure of strength conditions with increasing load is shown.
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14.Nekliudova E.A., Semenov A.S., Melnikov B.E., Semenov S.G. Experimental research and finite element analysis of elastic and strength properties of fiberglass composite material. Magazine of Civil Engineering, 2014, no. 3, pp. 25–39. DOI: 10.5862/MCE.47.3.
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17.Galicki J., Czech M. A new approach to formulate the general strength theories for anisotropic discontinuous materials. Part A: The experimental base for a new approach to formulate the general strength theories for anisotropic materials on the basis of wood. Applied Mathematical Modelling, 2013, vol. 37, no. 3, pp. 815–827. DOI: 10.1016/j.apm.2012.03.004.
18. Niu J., Liu G., Tian J., Zhang Y., Meng L. Comparison of yield strength theories with experimental results. Engineering Mechanics, 2014, vol. 31, no. 1, pp. 181–187. DOI: 10.6052/j.issn.1000-4750.2012.09.0622.
19.Liu G. A novel limiting strain energy strength theory. Transactions of Nonferrous Metals Society of China, 2009, vol. 19, no. 6, pp. 1651–1662. DOI: 10.1016/S1003-6326(09)60084-4.
20.Zhang S., Song B., Wang X., Zhao D., Chen X. Deduction of geometrical approximation yield criterion and its application. Journal of Mechanical Science and Technology, 2014, vol. 28, no. 6, pp. 2263–2271. DOI: 10.1007/s12206-014-0515-6.
21.Zhu X.-K., Leis B.N. Average shear stress yield criterion and its application to plastic collapse analysis of pipelines. International Journal of Pressure Vessels and Piping, 2006, vol. 83, no. 9, pp. 663–671. DOI: 10.1016/j.ijpvp.2006.06.001.
22.Kalnins A., Updike D.P. Limit Pressures of Cylindrical and Spherical Shells. Journal of Pressure Vessel Technology, 2001, vol. 123, no. 3, pp. 288–292. DOI: 10.1115/1.1367273.
23.Zezin Y.P. Experimental investigation of the strength properties of particulate polymeric composites, 2016, vol. 1785, pp. 030036. DOI: 10.1063/1.4967057.
24.Yan L., Junhai Z., Ergang X., Xueye C. Research on burst pressure for thin-walled elbow and spherical shell made of strength differential materials. Materials Research Innovations, 2015, vol. 19, no. 5, pp. 80–87. DOI: 10.1179/1432891715Z.0000000001340.
25.Shroff S., Kassapoglou C. Progressive failure modelling of impacted composite panels under compression. Journal of Reinforced Plastics and Composites, 2015, vol. 34, no. 19, pp. 1603–1614. DOI: 10.1177/0731684415592485.
26.Sengupta J., Ghosh A., Chakravorty D. Progressive Failure Analysis of Laminated Composite Cylindrical Shell Roofs. Journal of Failure Analysis and Prevention, 2015, vol. 15, no. 3, pp. 390–400. DOI: 10.1007/s11668-015-9951-6.
27.Shokrieh M.M., Karamnejad A. Investigation of Strain Rate Effects on the Dynamic Response of a Glass/Epoxy Composite Plate under Blast Loading by Using the Finite-Difference Method. Mechanics of Composite Materials, 2014, vol. 50, no. 3, pp. 295–310. DOI: 10.1007/s11029-014-9415-1.
28.Günel M., Kayran A. Non-linear progressive failure analysis of open-hole composite laminates under combined loading. Journal of Sandwich Structures & Materials, 2013, vol. 15, no. 3, pp. 309–339. DOI: 10.1177/1099636213483651.
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31.Garnich M.R., Akula V.M. Review of Degradation Models for Progressive Failure Analysis of Fiber Reinforced Polymer Composites. Applied Mechanics Reviews, 2009, vol. 62, no. 1, pp. 010801. DOI: 10.1115/1.3013822.
32.Bleyer J., de Buhan P. A numerical approach to the yield strength of shell structures. European Journal of Mechanics – A/Solids, 2016, vol. 59, pp. 178–194. DOI: 10.1016/j.euromechsol.2016.03.002.
33.Sun H.-H., Tan P.-L. Background of ABS Buckling Strength Assessment Criteria for Cylindrical Shells in Offshore Structures. Journal of Offshore Mechanics and Arctic Engineering, 2008, vol. 130, no. 2, pp. 021012. DOI: 10.1115/1.2913349.
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37.Ueda Y., Rashed S.M.H., Paik J.K. Buckling and ultimate strength interaction in plates and stiffened panels under combined inplane biaxial and shearing forces. Marine Structures, 1995, vol. 8, no. 1, pp. 1–36. DOI: 10.1016/0951-8339(95)90663-F.
38.Abrosimov N.A., Elesin A.V. Numerical analysis of dynamic strength of composite cylindrical shells under multiple-pulse exposures. PNRPU Mechanics Bulletin, 2016, no. 4, pp. 7–19. DOI: 10.15593/perm.mech/2016.4.01.
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42.Yu M.-H., Li J.-C. Computational plasticity: with emphasis on the application of the unified strength theory. Hangzhou, Zhejiang Univ. Press, 2012, 529 p.
43.Kolupaev V.A., Yu M.-H., Altenbach H. Visualization of the Unified Strength Theory. Archive of Applied Mechanics, 2013, vol. 83, no. 7, pp. 1061–1085. DOI: 10.1007/s00419-013-0735-8.
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В работе проанализирована возможность применения пяти различных критериев прочности (критерий максимальных напряжений, Мизеса – Хилла, Писаренко – Лебедева, Фишера, Гольденблата – Копнова) к расчетам прочности ортотропных оболочечных конструкций.
Рассматрены пологие оболочки двоякой кривизны, квадратные в плане, панели цилиндрических и конических оболочек. Использована геометрически нелинейная математическая модель их деформирования, учитывающая поперечные сдвиги. Для расчетов использованы характеристики современных ортотропных материалов – стеклопластика и углепластика. Показано развитие областей невыполнения условий прочности при увеличении нагрузки.
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