In this study, a new constitutive model is developed for steel fiber-reinforced concrete that takes the asymmetric tension-compression damage evolution, shear dilation, and strain-rate dependent material properties into account. The new constitutive model could accurately capture the mechanical behaviors of SFRC (i.e., strain hardening and softening in both compression and tension) with simple input parameters. It is then implemented into LS-DYNA to simulate the structural behaviors of SFRC components under various loading scenarios, including triaxial compression, blast loading, and projectile penetration. The effectiveness and accuracy of the new constitutive model are validated against the reported experimental results.