The dynamic compression deformation of an in‐house cast concrete (average aggregate size of 2–2.5 mm) was modelled using the finite element (FE), element‐free Galerkin (EFG) and smooth particle Galerkin (SPG) methods to determine their capabilities of capturing the dynamic deformation. The numerical results were validated with those of the experimental split Hopkinson pressure bar tests. Both EFG and FE methods overestimated the failure stress and strain values, while the SPG method underestimated the peak stress. SPG showed similar load capacity profile with the experiment. At initial stages of the loading, all methods present similar behaviour. Nonetheless, as the loading continues, the SPG method predicts closer agreement of deformation profile and force histories. The increase in strength at high strain rate was due to both the rate sensitivity and lateral inertia caused by the confinement effect. The inertia effect of the material especially is effective at lower strain values and the strain rate sensitivity of the concrete becomes significant at higher strain values.

中文翻译：

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混凝土压缩变形的本构方程确定和动力学数值模拟

使用有限元（FE），无元素Galerkin（EFG）和光滑颗粒Galerkin（SPG）方法对室内浇筑混凝土（平均集料尺寸为2–2.5 mm）的动态压缩变形进行建模，以确定其性能。捕获动态变形的过程。数值结果已通过实验霍普金森压力棒试验的结果进行了验证。EFG和FE方法都高估了破坏应力和应变值，而SPG方法低估了峰值应力。SPG在实验中显示出相似的负载能力曲线。在加载的初始阶段，所有方法都表现出相似的行为。尽管如此，随着载荷的继续，SPG方法预测变形轮廓和力历史会更加一致。高应变速率下强度的增加是由于速率敏感性和由限制效应引起的横向惯性所致。材料的惯性效应在较低的应变值时特别有效，而混凝土的应变率敏感性在较高的应变值时变得很明显。