纯剪切应力状态的Euler角表示

Expression for Pure Shear by the Euler Angles

利用Euler角证明了主应力之和为零是纯剪切应力状态的充分条件.还利用Euler角表示了纯剪切基及纯剪切应力分量.并给出了全体纯剪切基的集合与全体纯剪切应力分量的集合,结果显示这些集合中的元素单参数地依赖于进动角ψ.

That the summation of three principal stresses is zero is proved to be the sufficient condition of a state of pure shear by using the Euler angles. Moreover, the pure shear basis and the pure shear stress components are also expressed by the Euler angles. Then the aggregate of all pure shear bases and the aggregate of all pure shear stress components are given. The results show that elements in these aggregate are dependant upon single parameter ψ.