Constitutive Model for Concrete with Embedded Sets of Reinforcement

In this paper a constitutive relation is developed for concrete reinforced with two orthogonal sets of steel bars. The formulation incorporates a homogeneous deformation mode, prior to cracking, as well as a localized mode associated with formation of macrocracks. In the latter case, the representative volume comprises the reinforced fractured zone and the "intact" material. The stiffness of the reinforcing network is evaluated by considering the individual steel bars to be rigidly embedded in the adjacent intact material. An extensive numerical analysis is conducted examining the performance of the proposed framework in pure shear and axial tension for different reinforcement intensities and orientations. The results are compared with the available experimental data.