Abstract:The equivalent meso-mechanical model of anchoring composite materials(ACM) consisting of layered rocks(matrix material),rockbolts(reinforcing material) and cement mortar(felting material) is established according to theory and method of mechanics of composite materials. The relations between macro-mechanical behavior of ACM and the characters,meso-structures of constituent materials in ACM are analyzed quantitatively by using the equivalent mechanical model. The reinforcing effects of rock of lower elastic module are more obvious than that of higher ones in the anchoring direction. And the reinforcing effects decrease as the space of rockbolts linearly increase. The elastic module of mortar has not much effect on that of ACM. In the numerical model test of ACM the reinforcing effects of mechanical properties of rocks,diameters of rockbolts,spaces between rockbolts,mechanical properties of cement mortar and geometrical arrangements of rockbolts on c,j of anchoring composite materials are studied by numerical simulation tests with finite element commercial software and FEM subroutines. The equivalent strength characteristics of ACM are evaluated quantitatively. The elastic constants and c,j for the similar model material of anchored rock mass are also computed by using the equivalent mechanical model of ACM. The results of theoretical analysis and numerical simulation tests with the equivalent mechanical model are consistent well with those of model tests by comparisons which indicates that the equivalent model and the numerical analysis method in this paper are of rationality and reliability.