In recent years, there is a need for new space use and design freedom of the building. To achieve this goal, the membrane structure using a film material is capable of a free-form has attracted attention. In this structural design, in order to ensure safety, the verification of the characteristics and safety of the film material with the role of the tension members is required. In this study, we used a Peridynamics of interest as a new failure theory, in order to investigate the tearing behavior of the film material, performing a numerical analysis by particle model. Using numerical analysis results, with the aim to reproduce the phenomenon tear as a property of interest should be of the membrane material, to analyze the qualitative phenomenon. Further, with respect to tear phenomenon of the membrane material, to assess the qualitative nature. Additionally, the numerical analysis by particle models for tearing phenomena of various materials, by performing the analysis of the qualitative phenomena, to verify the possibility of analysis by particle model.