A GENERAL ANALYTICAL SOLUTION OF A STRAIN-HARDENING ELASTOPLASTIC PLATE CONTAINING A CIRCULAR HOLE SUBJECTED TO BIAXIAL LOADING - WITH APPLICATIONS IN PRESSURE-VESSELS

作者：GAO XL^*; WEI XX; WANG ZK

来源：International Journal of Pressure Vessels and Piping, 1991, 47(1): 35-55.

DOI：10.1016/0308-0161(91)90085-G

At the beginning of this paper, the general method of solving the plane stress problems of power-law materials by using the complex pseudo-stress function is developed, and the closed-form analytical expressions for the stress, strain and displacement components of the problems are derived. Then by using this method as well as the resulting formulae a general solution for the stress and displacement components of a strain-hardening elasto-plastic material infinite plate containing a circular hole subjected to arbitrary-biaxial loading is obtained in the paper. By applying this general solution directly, an investigation on the characteristics of stress distributions near the hole of four kinds of typical load-bearing structures having a circular opening characterized by four different cases of biaxial-loading is performed in the latter part of this paper. The results of this investigation together with the general solution provide some more precise and economical new theoretical bases for the opening and reinforcement design of pressure vessels made of strain-hardening materials.

• 出版日期1991
• 单位兰州理工大学