Limit analysis of viscoplastic thick-walled cylinder and spherical shell under internal pressure using a strain gradient plasticity theory  

作　　者：李茂林 扶名福 

机构地区：[1]School of Mechanical and Electrical Engineering, Nanchang University [2]College of Civil Engineering and Architecture, Nanchang University of Aeronautics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第12期1553-1559,共7页应用数学和力学（英文版）

基　　金：supported by the Ph. D. Programs Foundation of Ministry of Education of China(No. 20050403002)

摘　　要：Plastic limit load of viscoplastic thick-walled cylinder and spherical shell subjected to internal pressure is investigated analytically using a strain gradient plasticity theory. As a result, the current solutions can capture the size effect at the micron scale. Numerical results show that the smaller the inner radius of the cylinder or spherical shell, the more significant the scale effects. Results also show that the size effect is more evident with increasing strain or strain-rate sensitivity index. The classical plastic-based solutions of the same problems are shown to be a special case of the present solution.Plastic limit load of viscoplastic thick-walled cylinder and spherical shell subjected to internal pressure is investigated analytically using a strain gradient plasticity theory. As a result, the current solutions can capture the size effect at the micron scale. Numerical results show that the smaller the inner radius of the cylinder or spherical shell, the more significant the scale effects. Results also show that the size effect is more evident with increasing strain or strain-rate sensitivity index. The classical plastic-based solutions of the same problems are shown to be a special case of the present solution.

关 键 词：thick-walled cylinder and spherical shell strain gradient NONLOCAL VISCOPLASTICITY 

分 类 号：O345[理学—固体力学]