论文标题
异质杆中脆性断裂的相位模型
Phase-field modeling of brittle fracture in heterogeneous bars
论文作者
论文摘要
我们研究了一维棒中脆性断裂的相位场模型，具有沿轴的弹性和/或断裂特性的连续变化。我们的主要目的是定量评估弹性和断裂材料特性中的异质性如何影响杆的行为，如从相位场建模方法中获得。结果阐明了弹性限制应力，峰值应力和异质棒的断裂韧性如何与参考均匀棒的弹性应力相关，以及影响这些关系的参数是什么。总体而言，异质性的效果被证明与相位局部正则化的非本地性质严格相关。最后，我们表明，这种非局部性可能会修改异质杆中尖锐问题的不良性，其中多个点作为断裂位置竞争。
We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in elastic and fracture material properties influences the observed behavior of the bar, as obtained from the phase-field modeling approach. The results clarify how the elastic limit stress, the peak stress and the fracture toughness of the heterogeneous bar relate to those of the reference homogeneous bar, and what are the parameters affecting these relationships. Overall, the effect of heterogeneity is shown to be strictly tied to the non-local nature of the phase-field regularization. Finally, we show that this non-locality may amend the ill-posedness of the sharp-crack problem in heterogeneous bars where multiple points compete as fracture locations.
