薄壁圆筒在阶形变形路径下的统一增量解

Unified incremental solution of thin cylinder under step deformation path

基于俞茂宏统一强度理论,分析了薄壁圆筒在拉扭阶形变形路径作用下的增量解,得出了适用于各种不同拉压强度比的理想弹塑性材料统一增量解的形式。为材料选取合适屈服准则提供了方便,也为不同拉压比、不同泊松比的理想弹塑性材料在屈服后的应力状态及应力追踪的计算机模拟提供了便利。结果表明:通过改变材料的综合影响系数,可以只用一种或几种材料通过改变泊松比、拉压比和反映主切应力影响的系数等,来模拟其他已知或未知材料屈服后的性能。

The thin cylinder under step deformation path of tension and torsion based on YU Maohong unified strength theory was analyzed. The unified incremental solution was obtained and it could be applied to various materials with strength difference effect. It is applied to all kinds of ideal elasto-plastic materials with different ratios of tension and pressure and makes up the shortage that a special material should select a corresponding yield rule. According to it, different stress states and tracks of yielded ideal elasto-plastic material become easy to be simulated by computer. The results show that by altering the material synthesis influencing coefficient, the POISSON＇s ratio, the ratio of tension and pressure and the coefficient which represents influence of shearing stress, people can use only a few materials to imitate the yielded property of other materials known or unknown .