II型III型动态裂纹尖端断裂过程区近似评估方法

AN APPROXIMATE METHOD FOR EVALUATING FRACTURE PROCESS OF THE ZONE NEAR MODE II AND MODE III DYNAMIC CRACK TIP

  • 摘要: 动态裂纹尖端断裂过程区轮廓的确定问题仍然是一个没有得到完全解决的问题。基于弹性动力学的理论和复应力函数方法,提出一种伪应力函数方法,用于近似评估动态裂纹尖端应力场。通过与已知应力场计算结果对比,验证了伪应力函数的正确性。利用此近似方法通过Von Mises强度准则和Tresca强度准则,分别确定了不同强度准则条件下、不同裂纹扩展速度下断裂过程区的轮廓。计算结果表明:II型和III型动态裂纹尖端断裂过程区关于裂纹面对称分布,随着裂纹扩展速度增大而增大。当裂纹传播速度接近瑞利波速时,断裂过程区变化加剧。利用Tresca强度准则计算得到的动态裂纹尖端断裂过程区面积比利用Von Mises强度准则计算得到的断裂过程区的面积大。

     

    Abstract: Evaluating the shape and size of the fracture process zone near mode II and mode III dynamic crack tip is still a problem unsolved at present. An approximate method for evaluating the shape and size of FPZ is proposed and the feasibility of the method is demonstrated through a comparison with the results calculated based on the known stress fields. The shape and size of the FPZ near the dynamic crack tip are determined based on the new method, which depend on the crack propagation velocity. The results show that the FPZ at mode II and mode III dynamic crack tip distributes symmetrically with respect to the crack plane and increases with the crack propagation velocity. FPZ changes more rapidly when the Rayleigh wave velocity is approached. The size of FPZ calculated by Tresca criterion is larger than that calculated by Von Mises criterion.

     

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