Explosion damage analysis of concrete structure with bond-associated non-ordinary state-based peridynamics

Peridynamics has unique advantages in solving discontinuity problems such as explosive damage of structures. To further promote the peridynamic models, numerical algorithms and applications, a bond-associated non-ordinary state-based peridynamics (BA-NOSB PD) approach embedded with the Johnson–Holmquist II (JH-2) constitutive is established to analyze the explosive damage and failure of concrete structures. The BA-NOSB PD with the JH-2 constitutive not only can avoid the numerical instability problem, but also can accurately describe the complex mechanical behaviors of quasi-brittle materials such as large strain, high strain rate, and high pressure. The wave propagation and superposition in a concrete bar and the dynamic branch of a rectangular concrete slab are first modeled to display the reliability of the proposed method. Besides, an empirical formula of explosion overpressure is provided to exert the near-field air explosion load. The PD simulation of a reinforced concrete slab under explosion impact captures the typical damage mode well, globally consistent with the actual experiment test. Then, the significance of the influence function on the simulation results is discussed. Finally, the damage process of a concrete gravity dam under explosive loading conditions and the influencing factors such as detonation distance and TNT mass on the damage degree are studied. The simulation results illustrate that the proposed peridynamic approach can accurately and efficiently reproduce the damage and failure process of concrete structures under explosion impact.