Numerical and analytical modeling of fiber-matrix bond behaviors of high performance cement composite

Use of steel fiber in high performance cement composite (HPCC) can enhance its strength and toughness, which is achieved through stress transfer from fiber to matrix at interface. In this study, a numerical model in Finite Element Method and three analytical models were proposed to predict bond behaviors between HPCC matrix and three different shaped (straight, hooked, and corrugated) steel fibers at different ages. The proposed numerical model considered an enhancement factor based on the modified interfacial friction law (MIFL). In the analytical models, frictional force following a power function was considered. Predicted results from those numerical and analytical models were compared with existing models and corresponding experimental results. The comparisons indicated that the enhancement factor employed in the MIFL efficiently reflected the change in fiber-matrix bond properties with age. The predicted pullout load-slip relationships and energies from those proposed models showed higher accuracy than those from the existing models.