主应力在偏平面上的等效变换及其应用

Equivalent Transformation of Principle Stress on the Deviatoric Plane and It's Application

通过坐标变换,推导建立了偏平面上的坐标变量与主应力间的相互转换关系,为求破坏准则在偏平面上的轨迹提供了方便。进而利用得到的变换关系,分别考察了Mohr-Coulomb破坏准则、广义Mises破坏准则和空间滑动面(SMP:SpatialMobilizationPlane)破坏准则在偏平面上的轨迹,并利用不同准则在偏平面上的相互关系推得了相应准则的参数表达式。分析表明,利用变换关系推得的这些参数表达式和已有的结论一致。

A equivalent transformation between principle stress and the coordinate of the dviatoric plane is deduced through coordinate transformation, which make it is convenient to get the track of failure criteria on dviatoric plane. With the equivalent transformation,tracks of the Mohr-Coulomb failure criterion, the generalized Mises failure criterion and the SMP failure criterion on the dviatoric plane are studied. Some expressions of parameters of corresponding criterions are got through comparing the positional relationship between different failure criterions. It is verified that the expressions of parameters are consistent with the existed conclusions.