Abstract：Using finite element shape function as partitions of unit，the displacement jump across a crack is represented by extra freedom degree of enriched node. Continuous-discontinuous displacement model allowing the displacement of internal element discretion is developed. The expansion path of discontinuouos displacement is completely independent of the mesh structure. Unlike so-called embedded enhanced discontiniuity model，which is based on incompatible strain，there is no restriction on the type of underlying solid finite element that can be used；and displacement jumps are continuous across element boundaries. Physical concept of the model is also different from that of the extended finite element method. Combined with cohesive crack model，the effectiveness of the proposed approach is demonstrated by simulating the fracure process of concrete beam under shear loads.
