Multi-scale crystal plasticity finite element method (CPFEM) simulations for shear band development in aluminum alloys

Multi-scale crystal plasticity finite element method (CPFEM) simulations for shear band development in aluminum alloys
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铝合金剪切带发展的多尺度晶体塑性有限元法 (CPFEM) 模拟

DOI:
10.1016/j.jallcom.2017.03.333
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发表时间:
2017-07
影响因子:
6.2
通讯作者:
Peidong Wu
Peidong Wu
中科院分区:
材料科学2区
文献类型:
--
作者:
Yurui Wu;Yao Shen;Kaiguo Chen;Yuying Yu;Guo He;Peidong Wu

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采用多尺度晶体塑性有限元方法(CPFEM),对AA5182-H28铝合金冷轧板在相对于轧制方向沿着不同方向的简单剪切作用下剪切带的发展进行了宏观、细观和微观模拟。比较了三种模拟尺度在预测剪切带发展方面的分辨率和计算量。在宏观、中观和微观尺度上,每种元素分别代表多晶的集合体、单晶或部分晶粒。积分点的本构响应在宏观尺度上可用泰勒型多晶模型描述,在两个更细尺度上可用单晶本构模型描述。一个共同的特点预测在三个尺度上的模拟是,剪切带的发展是高度各向异性的。微观尺度下的模拟最清楚地揭示了这一点:(1)沿RD(轧制方向)没有剪切带形成;(2)沿RD 20(与RD成20 °)发展了一些剪切带,然后离域;(3)沿RD 45(与RD成45 °)发展了严重的剪切带;(4)沿TD(横向)形成了一些弱的和离散的剪切带。然而,捕捉不同程度的本地化的剪切带的发展的能力是不一样的三个模拟尺度:对于严重/没有剪切带形成的情况下,在所有三个尺度的模拟可以捕捉到的功能,然而,对于弱剪切带的情况下,只有微观模拟可以给出正确的预测。三种尺度的成本也有很大的不同:当模拟在较低尺度下运行时,计算时间增加了近一个数量级。因此,考虑到分辨率和成本,可以根据局部化程度选择适当的模拟尺度来研究剪切带的发展:对于严重/无剪切带形成的情况,泰勒型模型的宏观尺度模拟足以给出良好的预测;但对于弱剪切带形成的情况,需要进行微观尺度模拟。为了使这一策略发挥作用,首先需要对所有相关情况下剪切带发展的程度进行快速估计,这可以使用Wu等人提出的单元素方法来完成。[29]第10段。
Multi-scale Crystal Plasticity Finite Element Method (CPFEM) simulations including macro-, meso- and microscale are applied to study the shear band development in cold-rolled AA5182-H28 aluminum alloy sheets under simple shear along various directions with respect to the rolling direction. The resolution and the computational cost in predicting the development of shear bands are compared among the three simulation scales. In macro-, meso- or microscale, each element represents an aggregate of polycrystal, a single crystal or part of a grain, respectively. The constitutive response of an integration point is thus described by the Taylor-type polycrystalline model in the macroscale, or by the single crystal constitutive model in the two finer scales. A common feature predicted by simulations at the three scales is that the development of shear bands is highly anisotropic. This is most clearly revealed by simulations at the microscale: (1) no shear band forms along RD (Rolling Direction); (2) some shear bands develop then delocalize afterwards along RD20 (20° from RD); (3) severe shear bands develop along RD45 (45° from RD) and (4) some weak and discrete shear bands form along TD (Transverse Direction). However, the capability to capture the development of shear bands with different degrees of localization is not the same for the three simulation scales: for cases with severe/no shear band forming, simulations in all the three scales can capture the features, however, for cases with weak shear banding, only the microscale simulations can give right predictions. The cost of the three scales is also quite different: the computation time increases nearly an order of magnitude when the simulation runs at a lower scale. Therefore, in view of both the resolution and the cost, appropriate simulation scale can be chosen to study the development of shear bands according to the degree of localization: for cases with severe/no shear band forming, a macroscale simulation with Taylor-type model is sufficient to give good predictions; but for cases with weak shear bands formation, a microscale simulation is needed. For this strategy to work, a quick estimation is needed first for the extent of shear band development for all cases of concern, which can be accomplished using the one-element method proposed by Wu et al. [29].
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