基于晶体塑性变形的滑移机理和微观硬化机制, 建立了相应的运动学描述和基于率无关的晶体本构方程. 将“连续积分方法”首次应用到大变形弹塑性有限元分析中, 使得晶体塑性模型能够区分出不同滑移系上分解剪切应力及相应产生的剪切应变, 更好地反映金属材料塑性变形的微观特性. 将取向空间中的晶体取向分配给各个单元的积分点, 对具有不同初始织构的板材进行模拟, 预测制耳的大小和方位. 单一的\{100\}$\langle$001$\rangle$织构将形成0$^{\circ}$/90$^{\circ}$方位的制耳, \{123\}$\langle$634$\rangle$织构则形成45$^{\circ}$方位的制耳; 铝板经过退火处理后, 由于多种织构组分的相互制衡, 冲杯不具有明显的制耳现象.
Based on crystalline plasticity slip and strain hardening model, a rate-independent polycrystalline plasticity model was developed and introduced into finite element method. A “successive integration method” was firstly applied to the calculation of the plastic strain in large deformation analysis. By this method, it is easily to distinguish different resolved shear stresses and shear strain rate in different slip systems. The orientation distribution function is discretized by normal distribution function, and every FE integration points represent one crystal. Flanging earing tendencies with different initial orientations were discussed and verified by experiments. \{123\}$\langle$634$\rangle$ texture can lead to earing at 45$^{\circ}$ direction, while the \{100\}$\langle$001$\rangle$ texture at 0$^{\circ}$ and 90$^{\circ}$ directions. For the annealing aluminum sheet, the flange earing tendency is not obvious due to the balance between two main textures.
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