According to character of procession of concrete material having size effect rule,effective crack propagation of concrete was investigated with size effect rule of fracture toughness of concrete,formula of effective crack propagation was obtained which reflected size effect rule,and then effective crack model of multi-crack concrete was obtained which was relative with dimension of the specimen.

Analysis for fracture propagation and stimulation under multi-pulse gas load fracturing;

Controlling action of sandout belt at fracture periphery on fracture propagation.;

Mechanism of hydraulic fracture propagation in fracture-cavity carbonate reservoirs

Analytic model for tracing crack propagation under coupled mechanical-hydrological environment;

Analytic model for crack propagation under coupled mechanical hydrological environment;

Measuring crack propagation in reinforced asphalt concretes;

Compared with the classical finite element method,the crack growth in the gravity dam can be modeled by XFEM without making the .

Experimental results show that the maximum speed and accelaration ofcrack growth increases with the loading rater, the dynamic fracture toughness increases with the crack growth speed, the per-peak crack growth increases with theloading rates.

The influence of steel bar on crack extension of concrete faced rock-fill dam;

And by comparison of uniaxial tension model and crack extension model, the relationship between the increase of inelastic strain and crack extension was discussed.

This model has been applied to simulate the crack extension in three point bending creep test.