满足PTC的三维非协调形函数的显式处理

An explicit treatment of 3D incompatible shape functions satisfying PTC

介绍了满足分片检验条件（ＰＴＣ）的非协调形函数生成方法，显式给出了满足ＰＴＣ的三维非协调元ＮＨ１１的内位移函数。计算表明显式处理后的单元与原单元具有相同的精度，但却在很大程度上节省了单刚形成时间和计算单元应力花费，进一步发挥了非协调元的数值潜力。

In this paper , a general approach is introduced to generate the incompatible shape functions which satitfy the patch test condition (PTC) . The internal displacement functions of 3D incom- patttble element NH11 are expressed explicitly. Numerical computations show that , the new ele- ment after explicit treatment has the same precision as the original one , but the CPU time of forming the element stiffness matrix and computing element stresses is saved to a great degree. Fumhermore, the new method fully brings out numerical potentialities of incompatible elements.