A technique of numerical analysis of the influence of reinforcement structure on the nature of the dynamic response and the process of layer-by-layer destruction of layered fiberglass cylindrical shells under an axisymmetric internal explosive loading is elaborated. The kinematic model of deformation of the laminate package is based on a nonclassical theory of shells. The geometric dependences are based on simple quadratic relations of the nonlinear theory of elasticity. The relationship between the stress and strain tensors are established by using Hooke’s law for orthotropic bodies with account of degradation of stiffness characteristics of the multilayer composite due to the local destruction of some its elementary layers. An energetically consistent system of dynamic equations for composite cylindrical shells is obtained by minimizing the functional of total energy of the shell as a three-dimensional body. The numerical method for solving the formulated initial boundary-value problem is based on an explicit variational-difference scheme. Results confirming the reliability of the method used to analyze the influence of reinforcement structure on the character of destruction and the bearing capacity of pulse-loaded cylindrical shells are presented.
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This study was financed partly within the framework of the base part of State Task of the Ministry of Education and Science (project No. 2014/134 2226) and partly supported by grant No. 02.B.49.21.0003 and the grants of the Russian Fund for Basic Research Nos. 13-08-00742 and 15-08-04268.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 51, No. 4, pp. 579-594, July-August, 2015.
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Abrosimov, N.A., Novoseltseva, N.A. Numerical Simulation of the Layer-Bylayer Destruction of Cylindrical Shells Under Explosive Loading. Mech Compos Mater 51, 407–418 (2015). https://doi.org/10.1007/s11029-015-9512-9
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DOI: https://doi.org/10.1007/s11029-015-9512-9