高速扩展平面应力裂纹尖端的各向异性塑性场

在裂纹尖端的应力分量都只是θ的函数的条件下,利用定常运动方程,Hill各向异性屈服条件及应力应变关系,我们得到高速扩展平面应力裂纹尖端的各向异性塑性场的一般解.将这个一般解用于四种各向异性特殊情形,我们就导出这四种特殊情形的一般解.最后,本文给出X=Y=Z情形的高速扩展平面应力Ⅰ型裂纹尖端的各向异性塑性场.

Anisotropic Plastic Fields at a Rapidly Propagating Plane-Stress Crack-Tip

Under the condition that all the stress components at a crack-tip are the functions of 6 only, making use of the equations of steady-state motion, Hill aniso-tropic yield condition and stress-strain relations, we obtain the general solution of anisotropic plastic field at a rapidly propagating plane-stress crack-tip.Applying this general solution to four particular cases of anisotropy the general solutions of these four particular cases are derived. Finally, We give the anisotropic plastic field at the rapidly propagating plane-stress mode 1 crack-tip in the case of Z=Y=Z.