Abstract
A framework of the multiscale analysis method based on the mathematical homogenization theory is explored within the context of strength evaluation for fissured media. The two-scale variational formulation with appropriate functional setting plays a crucial role in our modeling for a general class of heterogeneous media. In particular, this modeling method for a fissured medium yields the microscopic variational inequality whereas the macroscopic problem is a standard equality. The formulation is utilized to propose the numerical strategy for evaluating its macroscopic strength and its feasibility is discussed by means of mathematical statements and through several numerical examples.
