正交异性幂强化材料的平面应力应变分析

A general solution to orthotropic material plane problems

在平面应力状态条件下,对Hill塑性屈服条件进行了研究。导出了正交异性材料屈服的参数方程,在同时考虑幂强化材料与正交异性指数的情况下,得到了轴对称平面应力满足平衡方程,协调方程及应力应变关系的解析解。研究表明,硬化指数n和R=H/G对应力应变影响较显著。而R90=H/F存在时,对应力应变影响较弱。

The Hill＇s orthotropic yield criterion under axisymmetric plane stress state is discussed. A yield function withparameters is introduced. A general solution is obtained. The solutions are used to satisfy the equations of equilibrium and compatibility. The result provides a useful base for the plastic theory and related engineering practices. The study shows that hardening coefficients n and Ro = H/G have substantial influences over stress and strain. However, in the presence of the coefficient R90 =H/F, such influence appears to be quite weak.