Dynamic analysis of fiber pullout mechanism in cementitious composites under harmonic pullout displacement: analytical approach

Fiber pullout from the concrete matrix is a main characteristic damage mechanism which is observed in cementitious composites, like textile reinforced concrete and fiber reinforced cement composites, and it affects their mechanical behavior under static and dynamic loads. In this paper, an appropriate analytical model of the fiber pullout mechanism is proposed and closed-form analytical solutions are provided under a dynamical excitation of prescribed harmonic pullout displacements at the fiber tip. The constitutive behavior of the matrix-fiber interface is provided by considering the damage behavior, where an elastic damage material model of the interface is employed. For comparison purposes, derived solutions from corresponding Finite-Element simulations of the fiber pullout mechanism are provided and compared with the obtained analytical solutions.