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This paper focuses on the wave propagation and compression damage in concrete through a plate impact problem. First, the Johnson–Holmquist concrete model is briefed. Then, a cross-format central finite difference scheme is formulated and coded in Fortran 90. After the damage constitutive model is implemented into the code, the stress-wave-induced compression damage in the concrete plate is subsequently simulated. The consistence of the predications between the one-dimensional finite difference code and LS-DYNA is corroborated. Finally, the effects of the magnitude and direction of impact velocity on compression damage are investigated in detail. Numerical results indicate that the proposed methodology is effective and useful. It can be further employed for the protection design of concrete structures against impact loading.

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