Solution of the spatial edge of the nonlinear elasticity theory for a combined resinometallic cylindrical shape

Author(s):  S.K. Efremov, candidate of Sciences, associate Professor, Krasnodar University of the Ministry of the Interior of the Russian Federation, Krasnodar , Krasnodar , efremovsk@yandex.ru

E.V. Mikhaylenko, candidate of Sciences, associate Professor, Krasnodar University of the Ministry of the Interior of the Russian Federation, Krasnodar , Russia, evmikhaylenko@mail.ru

Issue:  Volume 50, № 4

Rubric:  Physics. Mathematical modeling

Annotation:  The article deals with the problem of the nonlinear theory of elasticity for a cylindrical rubber combined rubber package, taking into account the low volume compressibility of rubber, as well as the geometric and physical nonlinearity of the structure. When solving the problem by the finite element method, the variational equations of the principle of possible displacements are used. The finite element is defined as a straight triangular prism with a bilinear approximation of displacements. The equations of state are constructed on the basis of the Peng-Landell and Dymnikov-Erdmanis potentials using the Murnaghan compressibility law. To construct an approximate solution of the system, the method of successive loads is used. Built load charts. The example of calculation for a cylinder consisting of ten rubber disks and nine steel layers is considered. The graphs of the vertical and horizontal reaction of the investigated package at a given offset are presented. The dependence of the mechanical characteristics of rubber on the degree of volume change was analyzed

Keywords:  deformable body, finite element method, strain tensor, Murnaghan compressibility law, Peng-Landell potential, Pointing effect

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