The Refined Analysis of Axisymmetric Transversely Isotropic Cylinder under Radial Direction Surface Loading

摘要

In this paper, the axisymmetric deformation of one cylinder with transversely isotropic is researched. According to the general solution of deformation body with transversely isotropic and the Lur'e method, the exact deformation field and exact stress field are represented by unknown functions with single independent variables. Based on boundary conditions of radial direction surface loading, the unknown functions can be ascertained. By dropping terms of high order, the approximate solution is derived, and the department field and the stress field for a circular cylinder under radial direction surface loading can be obtained. After simplifying, the states with isotropic can be obtained.