Abstract
The purpose of this study is to develop the multiscale analysis method for heterogeneous media with periodically distributed fissures. The formulation of the homogenization based upon the method of two-scale asymptotic expansions provides the variational inequality which governs the microscopic mechanical behaviors while the homogenized structure yields the nonlinear elastic media without fissures. The numerical algorithm to solve the multiscale problem is presented using the mathematical notions and the computer program is developed to solve both the contact problem in a microscale and the nonlinear global behavior in a macroscale. Several numerical examples justify the current formulation and provide insight into various engineering applications.
