Composite materials are known as a functional material with various advantages such as light weight and high toughness. On the other hand, interfacial debonding between the inclusion and the matrix becomes an important problem in their initial stage of fracture of composite materials. We propose a finite element which can model a micro scopic system and include an approximate model of interfacial debonding, in order to use such an element for design of composite materials. In addition, the progressive debonding phenomenon is simulated by fluctuation of the debonding stress. Several numerical examples and comparisons with experimental data show the characteristics and feasibility of this model.

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