Viscoelastic peridynamic theory of concrete and its application

The connection between the peridynamics and the dynamic physical mechanism of concrete is established. Based on the understanding of the mechanism, the viscoelastic interaction model of peridynamics is developed. The thermo-activated mechanism is reflected by the bond force between material points, the macroscopic viscosity mechanism is reflected by the damping force, and the inertia mechanism is reflected by the inertia force. Based on the viscoelastic interaction model, the viscoelastic peridynamic motion equation is derived by using Hamilton's principle with non-conservative force. And the S strain-rate-dependent fracture criterion is used to reflect the rate-dependent strength. Further, the material parameters of viscoelastic peridynamics in the two-dimensional case are calibrated by using the energy density equivalent method. The effectiveness of the viscoelastic peridynamic theory is evaluated by numerical experiments of two-dimensional plates under dynamic tension. The fracture stimulation of plates under different dynamic load rates shows that the strain rate effect of concrete materials under dynamic load can be well described by the developed viscoelastic peridynamic theory.