材料科学
各向同性
圆柱
扭转(腹足类)
非线性系统
边值问题
机械
压缩性
本构方程
复合材料
壳体(结构)
压力(语言学)
结构工程
几何学
数学分析
有限元法
数学
物理
光学
工程类
哲学
外科
医学
量子力学
语言学
作者
Л. М. Зубов,M. I. Karyakin
标识
DOI:10.1177/10812865211063507
摘要
The paper presents an exact solution for the problem of large deformations of torsion, axial tension–compression, and radial expansion or shrinkage of an elastic hollow circular cylinder equipped with pre-stressed elastic coatings. Surface coatings are modeled using the six-parameter nonlinear shell theory. The constitutive material of the cylinder is described by a three-dimensional nonlinear model of the isotropic incompressible body of the general form. Special boundary conditions describe the interaction of this material with thin coatings on the inner and outer surface of the pipe. Based on the solution obtained, numerical calculations were performed on the effect of preliminary stresses in coatings on the stress–strain state of a cylindrical pipe.
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