Qayyum Faisal, Umar Muhammad, Guk Sergey, Schmidtchen Matthias, Kawalla Rudolf, Prahl Ulrich
Institute of Metal Forming, Technische Universität Bergakademie Freiberg, 09599 Freiberg, Germany.
Department of Mechanical Engineering, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Punjab 64200, Pakistan.
Materials (Basel). 2020 Dec 24;14(1):42. doi: 10.3390/ma14010042.
In this research, the effect of 2D and 3D Representative Volume Element (RVE) on the ductile damage behavior in single-phase (only ferrite) and dual-phase (ferrite and martensite) steels is analyzed. Physical and fitting parameters of the constitutive model for bcc-ferrite and bcc-martensite phases are adapted from the already published work. Crystal plasticity (CP) based numerical simulations without damage consideration are run and, later, ductile damage criteria for the ferrite phase is defined for all cases. The results of the non-damage (-nD-) and damage (-D-) simulations are compared to analyze the global and local differences of evolving stresses and strains. It is observed that for the same model parameters defined in all cases, damage initiation occurs at the overall higher global strain in the case of 3D compared to 2D. Based on statistical data analysis, a systematic comparison of local results is carried out to conclude that the 3D RVEs provide better quantitative and qualitative results and should be considered for such full phase simulations. Whereas 2D RVEs are simple to analyze and provide appropriate qualitative information about the damage initiation sites.
在本研究中,分析了二维和三维代表性体积单元(RVE)对单相(仅铁素体)和双相(铁素体和马氏体)钢中韧性损伤行为的影响。体心立方铁素体和体心立方马氏体相本构模型的物理和拟合参数取自已发表的工作。进行了基于晶体塑性(CP)且不考虑损伤的数值模拟,随后针对所有情况定义了铁素体相的韧性损伤准则。比较了无损伤(-nD-)和有损伤(-D-)模拟的结果,以分析演化应力和应变的全局和局部差异。可以观察到,对于所有情况中定义的相同模型参数,与二维情况相比,三维情况下损伤起始发生在总体更高的全局应变处。基于统计数据分析,对局部结果进行了系统比较,得出结论:三维RVE提供了更好的定量和定性结果,对于此类全相模拟应予以考虑。而二维RVE易于分析,并能提供有关损伤起始位置的适当定性信息。