CAJ | 학술논문

在平面应力、平面应变和等效应变与位置半径反比假设条件下，对轴对称拉深成形凸缘区的应力、应变的解析解进行比较。在平面应力假设条件下，给出了基于直接积分法的凸缘区应力、应变计算流程，简化了参数方程的求解过程，得到了考虑厚度变化的应力应变数值解。理论分析和有限元模拟结果表明，3种假设条件下的径向应力数值解与有限元模拟结果都相差较小，平面应力假设条件下的应力、应变数值解与有限元仿真结果更接近。采用0.87 mm厚的ST16钢板进行了圆筒形件拉深成形实验，测量了凸缘区的应变，分析表明，平面应力假设条件下得到的应变数值解与实验结果更相符,有限元仿真结果与实验结果接近且趋势一致。
재평면응력、평면응변화등효응변여위치반경반비가설조건하，대축대칭랍심성형철연구적응력、응변적해석해진행비교。재평면응력가설조건하，급출료기우직접적분법적철연구응력、응변계산류정，간화료삼수방정적구해과정，득도료고필후도변화적응력응변수치해。이론분석화유한원모의결과표명，3충가설조건하적경향응력수치해여유한원모의결과도상차교소，평면응력가설조건하적응력、응변수치해여유한원방진결과경접근。채용0.87 mm후적ST16강판진행료원통형건랍심성형실험，측량료철연구적응변，분석표명，평면응력가설조건하득도적응변수치해여실험결과경상부,유한원방진결과여실험결과접근차추세일치。
The solving processes of stress and strain in the flange zone of axisymmetric deep drawing are explained by comparing plane stress, plane strain and inversely proportional assumptions, respectively. Using the direct integral method, the calculation processes of stress and strain in flange area are given according to plane stress assumption. The solving processes of the parameter equations are simplified by considering thickness changes in order to obtain the numerical solutions. The FE results of the cylindrical cup drawing in flange are obtained by comparing the numerical solutions under three assumptions. It shows that even though the radial stress under the three assumptions respectively differ little with FE results, the numerical solutions of stress and strain under plane stress assumption are the closest to the ones of FE results. The experiment of cylindrical deep drawing is carried out using steel ST16 of 0.87 mm thickness and the strain values along the flange are measured. The analyses results show that the numerical solutions under plane stress model is the most accordant with experimental results, FE results are close to the experimental results and the variation trend of FE results is the same as that of the experimental result.