横观各向同性板拉深板厚增量与织构系数的定量关联-工程力学-清华.PDFVIP

31 卷 7 期 Vol.31 No.7 工 程 力 学 2014 年 7 月 July 2014 ENGINEERING MECHANICS 239 文章编号：1000-4750(20 14)07-0239-06 横观各向同性板拉深板厚增量与 织构系数的定量关联 岳文霞 (南昌大学建筑工程学院，南昌 330031) 摘 要：板材在拉深过程中，常出现杯壁被拉裂的现象。以前的学者针对这一问题主要致力于改 压边力来防治 拉裂的研究。该文首先引入织构系数，然后利用弹塑性力学的相关知识和Hill 屈服准则中材料常数与织构系数的 关系，推导出板材拉深过程中织构系数与厚度增量的关系式。并经过算例验证该公式的可行性，得出可以通过改 板材的织构系数来降低板材拉深产生破裂的可能性。 关键词：织构系数；断裂；横观各向同性；厚度增量；拉深 中图分类号：O344.3 文献标志码：A doi: 10.6052/j .issn.1000-4750.20 13.01.0014 THE DRAWING THICKNESS INCREMENT AND QUANTITATIVE-CORRELATION TEXTURE COEFFICIENT FOR A TRANSVERSE ISOTROPIC PLATE YUE Wen-xia (College of Architectural and Civil Engineering, Nanchang University, Nanchang 33003 1, China) Abstract: Sheets would be cracked during their deep drawing. In order to solve this problem, many scholars are mainly devoted to changing the blank-holder force to control the cracks in their published literatures. The paper introduces a texture coefficient and uses elastic-plastic mechanics and the relation between the material coefficient and the texture coefficient of Hill yield criterion to the relation between the texture coefficient and thickness increment during the deep drawing. Then the paper proves the relation through examples, we can reduce the possibility of crack occurrence during the deep drawing by changing the texture coefficient. Key words: texture coefficient; fracture; transverse isotropy; thickness increment; deep drawing 平面板材在冲头作用下通过凹模形成开口空 能性，本文假设金属板材服从Hill 屈服准则，引入 [1] 心试件的过程称为拉深 ( 图 1)，拉深时变形区材 织构系数的概念，得到横观各向同性板材在拉深过 料处于径向拉伸和切向压缩状态，当切向力过大将