厚壁圆管的弹塑性分析

本文用Tresca屈服条件和相关联的塑性流动法则以及混合硬化模型,给出了受内压作用下厚壁圆管的弹塑性加载和卸载的封闭解,得到了平面应变、开端和闭端三种情况下位移、应变和应力的解析表达式,并将本文所得到的结果与各向同性硬化和运动硬化模型的结果进行了比较,给出了具体数值算例。

ELASTIC-PLASTIC ANALYSIS OF A THICK TUBE

Using Tresca's yield condition with its associated flow rule, and the mixed hardening law, analytical solutions have been obtained for elasticplastic loading and unloading problems in a thick tube subjected to uniform internal pressure. Explicit expressions for the displacement, strains, and stresses are presented herein under the plane strain, opened-end and closedend. conditions, along with numerical examples for a closed-end tube. The results obtained in this paper are compared with those obtained through the isotropic and kinematic hardening models.