In this paper, the mechanical behavior of three-phase inhomogeneous materials is modeled using the meso-scale model with lattice beams for static and dynamic analyses. The Timoshenko beam theory is applied instead of the classical Euler-Bernoulli beam theory and the mechanical properties of lattice beam connection are derived based on the continuum medium using the non-local continuum theory. The average acceleration method is applied for dynamic modeling of crack propagation in concrete. Finally, two experimental tests, including the simple tension experiment and the Nooru-Mohamed test, are simulated using the proposed model in order to investigate the effects of dynamic crack propagation, and the results are compared with those of static analysis.
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