包含织构系数的任意应力状态下六角晶粒正交板材屈服函数理论研究

发布时间：2019-03-17 15:05

【摘要】：工程上往往采用Hosford屈服函数来描述正交金属板材屈服和塑性变形行为。但它要求板材的3个主应力必须与板材的正交轴同轴。针对这一的缺点,通过引入方向函数,分析方向函数与织构系数的关系,给出包含织构系数的任意应力状态下六角晶粒正交板材屈服函数。此屈服函数包含5个材料常数和5个织构系数,比Hosford屈服函数更具有一般性。利用新屈服函数推导了不同角度下金属板材各向异性指数r值和屈服应力与织构系数的表达式,实验证明新屈服函数对描述材料的塑性变形及屈服强度的拟合较好,为分析金属板材的力学性能提供了依据。
[Abstract]:In engineering, Hosford yield function is often used to describe the yield and plastic deformation behavior of orthogonal metal sheet. However, it requires that the three principal stresses of the plate must be coaxial with the orthogonal axis of the plate. In view of this shortcoming, by introducing the direction function, the relationship between the direction function and the texture coefficient is analyzed, and the yield function of hexagonal grain orthogonal plate under arbitrary stress state with texture coefficient is given. The yield function consists of five material constants and five texture coefficients, which is more general than the Hosford yield function. The expressions of anisotropy index r, yield stress and texture coefficient of sheet metal at different angles are derived by using the new yield function. The results show that the new yield function is a good fit for describing the plastic deformation and yield strength of the material. It provides a basis for the analysis of the mechanical properties of metal sheet.
【作者单位】：南昌大学工程力学实验中心;东华理工大学建筑工程学院;东华理工大学核工程与地球物理学院;
【基金】：江西省自然科学基金资助项目(20161BAB216142,20171BAB202028) 江西省教育厅科学技术研究项目(GJJ150575) 核技术应用教育部工程研究中心开放基金项目(HJSJYB2016-9)
【分类号】：TG146.23

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