The deformation of cylinders made of elastic materials, either homogeneous or fiber-reinforced, at large deformations under the action of centrifugal forces was investigated by using equations of the complete model of axisymmetric deformation. Based on this model, particular features of the behavior of elastic cylinders, nonreinforced or reinforced with circumferential and radial systems of fibers, were examined. The deformation of cylinders with sliding and rigid fits on their inner surface was considered in free rotation. It is found that the deformation of the cylinders can be described by means of the model of plane deformation.
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V. M. Akhundov, “Axisymmetric deformation of cylinders made of homogeneous and fiber-reinforced elastic materials in butt-end torsion,” Mech. Compos. Mater., 46, No. 2, 183–200 (2010).
V. M. Akhundov and T. A. Skripochka, “Large deformations of homogeneous and fiber-reinforced cylinders under the action of centrifugal forces,” Mech. Compos. Mater., 45, No. 3, 235–248 (2009).
V. M. Akhundov, “Applied theory of composites with a small content of yarns under large deformations,” Mekh. Kompozits. Mater. Konstr., 7, No. 1, 3–15 (2001).
V. A. Kabanov et al. (eds), Polymer Encyclopedia, Vol. 3 [in Russian], Sovets. Entsikl., Moscow (1977).
M. Levinson and I. W. Burgess, “A comparison of some simple constitutive relations for slightly compressible rubber-like materials,” Int. J. Mech. Sci., 13, 563–572 (1971).
P. J. Blatz, Application of Finite Elastic Theory in Predicting the Performance of Solid Propellant Rocket Motors, Calif. Inst. Techn. GALCJISM (1960).
P. A. Kirpichnikov (ed.), Technology of Rubber Articles [in Russian], Khimiya, Moscow (1991).
V. M. Akhundov and V. P. Lunyov, “Calculation and experimental study of a unidirectional rubber-cord composite in tension and compression,” Mech. Compos. Mater., 35, No. 3, 227–232 (1999).
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 47, No. 2, pp. 301-316, March-April, 2011.
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Akhundov, V.M., Skripochka, T.A. Axisymmetric deformation of revolving cylinders made of homogeneous and fiber-reinforced elastic materials. Mech Compos Mater 47, 211–220 (2011). https://doi.org/10.1007/s11029-011-9199-5
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DOI: https://doi.org/10.1007/s11029-011-9199-5