Abstract Forming Limit Diagrams (FLDs) of 0.1 and 1 mm thick ultra-thin ferritic stainless steel (FSS) sheets are predicted using a combination of the crystal plasticity finite element (CPFE) approach and the Marciniak-Kuczynski (M-K) model. In a scale of few microns, especially for thin materials, surface roughness significantly affects sheet formability; therefore, the M-K model is further modified to address the surface roughening effect. The CPFE combined M-K model with the surface roughening effect can reproduce experimental FLDs of two FSS sheets, unlike the method without considering the surface roughening effect. The results highlight the importance of surface roughening, particularly in thinner sheets, where the portion of surface roughness is an order higher than that in the thicker sheets. The evolution of the deformation texture under various loading paths is further investigated and discussed. The findings coincide with reports of previous studies.

中文翻译：

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具有表面粗糙效应的晶体塑性有限元-Marciniak-Kuczynski 方法预测超薄铁素体不锈钢板的成形性

摘要 结合晶体塑性有限元 (CPFE) 方法和 Marciniak-Kuczynski (MK) 模型，预测了 0.1 和 1 mm 厚超薄铁素体不锈钢 (FSS) 板的成形极限图 (FLD)。在几微米的范围内，特别是对于薄材料，表面粗糙度会显着影响板材的成型性；因此，MK 模型被进一步修改以解决表面粗糙效应。CPFE 结合 MK 模型与表面粗糙化效果可以再现两个 FSS 片材的实验 FLD，与不考虑表面粗糙化效果的方法不同。结果突出了表面粗糙化的重要性，特别是在较薄的板材中，其中表面粗糙度的部分比较厚的板材高一个数量级。进一步研究和讨论了各种加载路径下变形纹理的演变。这些发现与之前的研究报告一致。