Structural model for rigid-plastic yielding behavior of angle-ply reinforced composites of materials with different properties in tension and compression considering 2D stress state in all components

References

• A.P. Mouritz, et al., Review of advanced composite structures for naval ships and submarines, Compos. Struct., vol. 53, no. 1, pp. 21–42, 2001. DOI: https://doi.org/10.1016/S0263-8223(00)00175-6.
   Web of Science ®Google Scholar
• M. Bannister, Challenger for composites into the next millennium – a reinforcement perspective, Compos. Part A, vol. 32, no. 7, pp. 901–910, 2001. DOI: https://doi.org/10.1016/S1359-835X(01)00008-2.
   Web of Science ®Google Scholar
• C. Soutis, Fibre reinforced composites in aircraft construction, Prog. Aerosp. Sci., vol. 41, no. 2, pp. 143–151, 2005. DOI: https://doi.org/10.1016/j.paerosci.2005.02.004.
   Web of Science ®Google Scholar
• Z. Kazanci, Dynamic response of composite sandwich plates subjected to time-dependent pressure pulses, Int. J. Non Linear Mech., vol. 46, no. 5, pp. 807–817, 2011. DOI: https://doi.org/10.1016/j.ijnonlinmec.2011.03.011.
   Web of Science ®Google Scholar
• R.F. Gibson, Principles of Composite Material Mechanics, Boca Raton: CRC Press, Taylor & Francis Group, 2012.
   Google Scholar
• S.K. Gill, M. Gupta, and P. Satsangi, Prediction of cutting forces in machining of unidirectional glass-fiber-reinforced plastic composites, Front. Mech. Eng., vol. 8, no. 2, pp. 187–200, 2013. DOI: https://doi.org/10.1007/s11465-013-0262-x.
   Google Scholar
• R.C. Alderliesten, and R. Benedictus, Modelling of impact damage and dynamics in fibre-metal laminates – a review, Int. J. Impact Eng., vol. 67, pp. 27–38, 2014. DOI: https://doi.org/10.1016/j.ijimpeng.2014.01.004.
   Web of Science ®Google Scholar
• M.S. Qatu, R.W. Sullivan, and W. Wang, Recent research advances on the dynamic analysis of composite shells: 2000–2009, Compos. Struct., vol. 93, no. 1, pp. 14–31, 2010. DOI: https://doi.org/10.1016/j.compstruct.2010.05.014.
   Web of Science ®Google Scholar
• Mao-hong Yu, Advances in strength theories for materials under complex stress state in the 20th century, ASME. Appl. Mech. Rev., vol. 55, no. 3, pp. 169–200, 2002. DOI: https://doi.org/10.1115/1.1472455.
   Google Scholar
• J. Zickel, Isotensoid pressure vessels, ARS J., vol. 32, pp. 950–951, 1962.
   Google Scholar
• A. Kelly, and W.R. Tyson, Tensile properties of fiber-reinforced metals: copper/tungsten and copper/molybdenum, J. Mech. Phys. Solids, vol. 13, no. 6, pp. 329–350, 1965. DOI: https://doi.org/10.1016/0022-5096(65)90035-9.
   Web of Science ®Google Scholar
• Y.V. Nemirovskii, Plasticity (strength) for a reinforced layer, J. Appl. Mech. Tech. Phys., vol. 10, no. 5, pp. 759–765, 1969. DOI: https://doi.org/10.1007/BF00907434.
   Google Scholar
• Y.V. Nemirovskii, Ultimate equilibrium of multilayer reinforced axisymmetric shells, Izv. AN SSSR, MTT, no. 6, pp. 80–89, 1969. [in Russian]
   Google Scholar
• Y.V. Nemirovsky and B.S. Resnikov, On limit equilibrium of reinforced slabs and effectiveness of their reinforcement, Arch. Inż. Ląd., vol. 21, no. 1, pp. 57–67, 1975.
   Google Scholar
• Z. Mróz and F.G. Shamiev, Simplified yield condition for fiber-reinforced plates and shells, Arch. Inż. Ląd., vol. 25, no. 3, pp. 463–476, 1979.
   Google Scholar
• G. Lubin, ed. Handbook of Composites, Van Nostrand Reinhold, New York, 1982.
   Google Scholar
• R. Hill, Mathematical Theory of Plasticity, Oxford University Press, New York, 1950.
   Google Scholar
• D.M. Karpinos, ed. Composite Material Handbook, Naukova dumka, Kiev, 1985. [in Russian].
   Google Scholar
• А.R. Rzhanitsyn, Limit State of Plates and Shells, Nauka, Moscow, 1983. [in Russian].
   Google Scholar
• Y.V. Nemirovsky and A.P. Yankovskii, Limit balance of reinforced concrete domes of rotation, New Higher Educ. Inst. Constr., no. 8, pp. 4–11, 2005. [in Russian].
   Google Scholar
• N. Kubishev, Limit load for composite circular plate with different fixing conditions, Mekh. Mash. Mekhan. Mater., vol. 14, no. 1, pp. 56–60, 2011. [in Russian].
   Google Scholar
• A. Jahangirov, Load-carrying capacity of fiber-reinforced annular tree-layer composite plate clamped on its external and internal contours, Mech. Compos. Mater., vol. 52, no. 2, pp. 271–280, 2016. DOI: https://doi.org/10.1007/s11029-016-9579-y.
   Web of Science ®Google Scholar
• T.P. Romanova, Carrying capacity and optimization of three-layer reinforced circular plate of differently resistant materials, supported on the internal contour, Probl Strength Plast., vol. 77, no. 3, pp. 286–300, 2015. [in Russian]. DOI: https://doi.org/10.32326/1814-9146-2015-77-3-286-300.
   Google Scholar
• N.Y. Rabotnov, Introduction in Destruction Mechanics, Nauka, Moscow, 1987. [in Russian].
   Google Scholar
• I.G. Zhigun, et al., Composites reinforced with a system of three straight mutually orthogonal fibers. 2. Experimental study, Polymer Mech., vol. 9, no. 6, pp. 895–900, 1975. DOI: https://doi.org/10.1007/BF00856974.
   Google Scholar
• T.P. Romanova and A.P. Yankovskii, Constructing yield loci for rigid-plastic reinforced plates considering the 2D stress state in fibers, Mech. Compos. Mater., vol. 54, no. 6, pp. 697–718, 2019. DOI: https://doi.org/10.1007/s11029-019-9777-5.
   Web of Science ®Google Scholar
• V.V. Vasiliev, et al., Composite Materials: Handbook, Mashinostroenie, Moscow, 1990. [in Russian].
   Google Scholar
• A.K. Malmeister, V.P. Tamuzh, and G.A. Teters, Resistances of Polymeric and Composite Materials, Zinatane, Riga, 1980. [in Russian].
   Google Scholar
• N.S. Bakhvalov and G.P. Panasenko, Averaging of Processes in Periodic Media. Mathematical Problems of Mechanics of Composite Materials, Nauka, Moscow, 1984. [in Russian].
   Google Scholar
• G.A. Vanin, Micromechanics of Composite Materials, Naukova Dumka, Kyiv, 1985. [in Russian].
   Google Scholar
• T.D. Shermergor, Theory of Elasticity of Micro-Inhomogeneous Media, Nauka, Moscow, 1977. [in Russian].
   Google Scholar
• R.M. Christensen, Mechanics of Composite Materials, Wiley, New York, 1979.
   Google Scholar
• A.M. Freudental and H. Geiringer, The Mathematical Theories of the Inelastic Continuum, Springer-Verlag, Berlin, 1958.
   Google Scholar
• P.P. Balandin, On the question of strength hypotheses, Bull. Eng. Tech., vol. 1, pp. 19–24, 1937. [in Russian]
   Google Scholar
• R.J. Green, A plasticity theory for porous solids, Int. J. Mech. Sci., vol. 14, no. 4, pp. 215–224, 1972. DOI: https://doi.org/10.1016/0020-7403(72)90063-X.
   Web of Science ®Google Scholar
• V.D. Rud’ and V.Z. Meukow, Experimental verification of the hypothesis of plasticity of porous bodies, Poroshkovaja Metallurgija, no. 1, pp. 14–20, 1982. [in Russian]
   Google Scholar
• L.W. Weeton and E. Scala, Composites: State of Art, AIME, New York, 1974.
   Google Scholar
• R.D. Richtmyer and K.W. Morton, Difference Methods for Initial-Value Problems, John Wiley & Sons, New York, 1967.
   Google Scholar
• T.P. Romanova, Modeling of rigid-plastic dynamic bending of reinforced layered circular plates with arbitrary hole on viscous foundation under explosive loads, Probl Strength Plast., vol. 79, no. 3, pp. 267–284, 2017. [in Russian] DOI: https://doi.org/10.32326/1814-9146-2017-79-3-267-284.
   Google Scholar