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arXiv 2001.01939cond-mat.mtrl-sciphysics.comp-ph
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DP钢的杨氏模量对塑性应变的依赖性:不均匀性的结果?

Dependency of the Young's modulus to plastic strain in DP steels: a consequence of heterogeneity ?

Ludovic Charleux, Laurent Tabourot, Emile Roux, Moustapha Issack Farah, Laurent Bizet

摘要:

双相钢回弹的准确预测一直是一个重大的挑战。结果表明,这是由于缺乏了解他们的非线性卸载行为,特别是他们的卸载模量的塑性预应变的依赖性。一个所谓的分区有限元模型的开发。在这个模型中,每个单元被分配一个唯一的线弹性J2塑性行为没有硬化。该模型的特殊性在于:(i)统计分布以确定性的方式离散化,并用于将屈服应力分配给称为隔室的结构;(ii)这些隔室通过随机隔室元素映射(CEM)与元素随机关联。并行模拟多个CEM以研究模型的内在随机性。该模型面临着从文献中提取的实验数据,它表明,该模型能够再现的拉伸预应变的表观模量的依赖性。还观察到,即使表观模量不是用于识别模型输入参数的实验数据集的显式输入,也可以预测表观模量的演变。由此推断,硬化的形状和模量对预应变的依赖性是单一原因的两种表现:DP钢中的非均匀屈服应力。

英文摘要:

The accurate springback prediction of dual phase (DP) steels has been reported as a major challenge. It was demonstrated that this was due to the lack of understanding of their nonlinear unloading behavior and especially the dependency of their unloading moduli on the plastic prestrain. A so-called compartmentalized finite element model was developed. In this model, each element was assigned a unique linear elastic J2 plastic behavior without hardening. The model's specificity lied in the fact that: (i) a statistical distribution was discretized in a deterministic way and used to assign yield stresses to structures called compartments; (ii) those compartments were randomly associated with the elements through a random compartment element mapping (CEM). Multiple CEM were simulated in parallel to investigate the intrinsic randomness of the model. The model was confronted with experimental data extracted from the literature and it was demonstrated that the model was able to reproduce the dependence of the apparent moduli on the tensile prestrain. It was also observed that the evolution of the apparent moduli was predicted even if it was not an explicit input of the experimental dataset used to identify the input parameters of the model. It was then deduced that the shape of the hardening and the dependancy of moduli on the prestrain were two manifestations of a single cause: the heterogeneous yield stress in DP steels.

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