粘塑性材料中反平面Ⅲ型动态扩展裂纹尖端的渐近场

Dynamic Asymptotic Fields Near an Antiplane Ⅲ Mode Propagating Crack-tip in Viscoplastics Medium

采用弹性—粘塑性模型对粘塑性材料中反平面Ⅲ型动态扩展裂纹尖端的应力、应变场进行了渐近分析。假定应力具有 r^(-δ)幂函数奇异性时,得到了裂纹尖端应力、应变场的渐近方程。通过数值计算得到了各种 M^2和δ情况下裂纹尖端的应力场 T_θ(θ)和 T_r(θ)的角分布曲线。

Based on a elestic-viscoplastie mode, the asymptotic behaviour of an antiplance Ⅲ mode crack-tip of dynamic propagation is studied. In the case of, the stress field of the crack -tip has r^(-δ)power-law singularity, the asymptotic equations of stress and strain are given at the crack-tip. The eurrves of the stress fields of the crack-tip T_θ(θ) and T_r(θ) angular distri- bution curves are given for various M^2 and δ.