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Constraint effects on ductile processes near a notch tip under mixed-mode loading

机译：混合模式载荷对槽口尖端附近延性过程的约束效应

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摘要

In this work, the effect of constraint on ductile fracture process of microvoid growth and coalescence near a notch tip in a ductile material under mode I and mixed mode loading (involving modes I and II) is investigated. To this end, two sets of finite element simulations are carried out under two-dimensional plane strain conditions. In the first set, a modified boundary layer formulation is employed in which the mixed mode elastic K-T field is prescribed as remote boundary conditions. Several analyses are carried out corresponding to different values of T-stress and remote elastic mode-mixity. Next, ductile four point bend specimens subjected to mode I and mixed mode loading are considered. In both sets of simulations, the interaction between a notch tip and a pre-nucleated hole ahead of it is modelled. The background material is repesented by the Gurson constitutive model and micro-void nucleation at uniformly distributed small scale particles is also taken into account. The accumulation of matrix plastic strain and porosity in the ligament between the notch tip and the hole and the growth of the hole are studied. Finally, the effect of crack tip constraint on the relationship between the fracture toughness and mode mixity is examined. Predictions made in this paper are corroborated by recent experimental work on a low strength Al alloy.
机译：在这项工作中，研究了在模式I和混合模式载荷（涉及模式I和II）下，延性对延性材料中微孔生长和缺口尖端附近的聚结的延性断裂过程的影响。为此，在二维平面应变条件下进行了两组有限元模拟。在第一组中，采用改进的边界层公式，其中将混合模式弹性K-T场指定为远程边界条件。对应于不同的T应力和远程弹性模态混合度进行了几种分析。接下来，考虑了在模式I和混合模式载荷下的韧性四点弯曲试样。在两组模拟中，都对刻槽尖端和其前面的预成核孔之间的相互作用进行了建模。通过Gurson本构模型表示背景材料，并且还考虑了均匀分布的小尺寸颗粒处的微孔成核。研究了缺口尖端和孔之间的韧带中基质塑性应变的累积和孔隙率以及孔的生长。最后，研究了裂纹尖端约束对断裂韧性与模态混合度之间关系的影响。最近在低强度铝合金上进行的实验工作证实了本文所做的预测。

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