Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: Role of the homogenization scheme

This paper deals with micromechanical analysis of anisotropic damage and its coupling with friction in quasi brittle materials. The anisotropic model is formulated in the framework of Eshelby-based homogenization methods. The emphasis is put on the study of effects of spatial distribution of microcracks and their interactions. Microcracks closure effects as well as coupling between damage evolution and frictional sliding on closed cracks lips are taken into account. The interaction of sliding and damage evolution is addressed by performing a global thermodynamic analysis on two macroscopic criteria established in the paper. The role of the homogenization scheme is discussed in detail through various applications.