This study demonstrates a method to calculate a topological change of a finite element model with a fracture phenomenon in real-time. The method reduces restructuring calculation costs for a topological change by restructuring only the local region near the crack-tip. Also, the method presents reaction forces that reflect topological changes to the user through the interpolating pre-calculated reaction forces data. The developed system demonstrated that the proposed method enables the calculation of a topological change in real-time. The time required to conduct the restructuring calculation in the proposed method was shorter than that of the conventional method. Additionally, the errors from the proposed interpolation method were smaller than the errors from methods without interpolation. As a result, the effectiveness of the proposed method was demonstrated.