This paper presents a comparison of three numerical approaches for modeling brittle materials in both quasi-static and dynamic loading conditions. These methods include the Finite Element Method coupled to Smooth Particle Hydrodynamics (FEM-SPH), Discrete Element Method (DEM) and the elastic bond-based Peridynamics (PD). Numerical models for each method were built in the commercial software LS-DYNA. The parameters, associated to the mechanical behavior of aluminosilicate glass, were calibrated for each numerical model by means of experimental tests on material coupons. The experimental results from quasi-static three-point bending tests and ballistic impact tests were utilized for numerical models’ assessment. All methods provide comparable results under quasi-static flexural loading condition and for ballistic impact cases, the numerical results show the particular capability of each approach to capture the projectile residual velocity and the damage morphology of aluminosilicate glass tiles. However, considering all the loading conditions the FEM-SPH method replicates the mechanical response of aluminosilicate glass best.

本文比较了在准静态和动态载荷条件下对脆性材料建模的三种数值方法的比较。这些方法包括耦合到光滑粒子流体动力学的有限元方法（FEM-SPH），离散元素方法（DEM）和基于弹性键的周边动力学（PD）。在商业软件LS-DYNA中建立了每种方法的数值模型。通过对材料试样的实验测试，针对每个数值模型校准了与铝硅酸盐玻璃的机械性能相关的参数。将准静态三点弯曲试验和弹道冲击试验的实验结果用于数值模型的评估。在准静态弯曲载荷条件下以及对于弹道冲击情况，所有方法都可提供可比的结果，数值结果显示了每种方法捕获铝硅酸盐玻璃砖的弹丸残余速度和损伤形态的特殊能力。但是，考虑到所有负载条件，FEM-SPH方法可以最好地复制铝硅酸盐玻璃的机械响应。