考虑应变软化厚壁圆筒受外压作用统一极限解

Unified Limit Solution of Thick Wall Cylinder Subject to External Pressure Considering Strain Softening

为了解混凝土或岩石类材料厚壁圆筒受外压作用的承载特性,根据俞茂宏的统一强度理论,考虑材料的应变软化特性,得到了适合应变软化材料的统一强度准则,并据此推导出了混凝土或岩石类材料厚壁圆筒受外压作用的弹性与塑性极限荷载公式.还详细讨论了厚壁圆筒外半径与内半径比、反映中间主剪应力作用以及相应面上的正应力作用对材料破坏影响程度的系数、材料的拉压强度比以及损伤参量等对圆筒极限荷载的影响,得到了一些可供工程设计参考的重要结果.

Based on Yu＇s unified strength theory with material＇s strain softening property considered, a unified strength criterion for strain softening materials as concrete or rock was put forward to find out the bearing capacity of thick-wall cylinder made of such materials subject to external pressure and also both the elastic and the plastic limit loads formula of such cylinders based on the criterion were also given. Besides, discussed in detail were the influence on the limit loads of such cylinders of some factors as the ratio of the external radius to internal radius, the coefficient that reflects the effect of medium principal stress and the normal stress of the relevant surface on material destroy degree, and the ratio of tensile strength to compressed strength of the material. Some examoles were given and some useful results were obtained.