Abstract：The connection between the continuum damage theory and the mesoscopic damage theory is always a hot and important problem in the field of damage mechanics. To develop the damage models combining continuum damage mechanics with mesoscopic damage mechanics，a new method is given to establish the relationship between macroscopic and mesoscopic damage variables for micro-crack damage of quasi-brittle materials under tension. The relationship is based on the hypothesis that the effective moduli received from the macroscopic and mesoscopic damage analysis are equivalent. The physical significance correlating with the mesoscopic damage mechanism is assigned to the macroscopic damage variable. The uniaxial tension experiment is given as an example to illustrate the feasibility of this analytic method.
