中文摘要：

分别采用平面应力和平面应变假设条件,对轴对称拉深成形法兰区的应力分布进行了分析比较,两种情况下的径向应力计算值相差较小,但周向应力计算值相差较大。有限元模拟表明,平面应力条件下得到的解析结果与模拟值非常接近,表明平面应力假设条件比平面应变假设条件更接近于实际情况。在平面应力条件下,建立了轴对称成形法兰区起皱失稳条件和圆筒形件破裂失稳条件,导出了临界压边力的计算式。对于某一具体的拉深成形问题,计算得到了临界压边力与拉深位置的关系曲线。分析结果有助于进一步认识拉深成形各变形区的变形特点,建立更符合实际的起皱、破裂准则,预测成形缺陷及临界压边力。

英文摘要：

Plane stress and plane strain assumptions were adopted to make comparisons respectively in the stress distribution of the flange region in the axisymmetric deep drawing.The values of radial stress differ a little,while the values of circumferential stress vary in a large range,which were calculated under these two conditions.It can be shown from the finite element simulation that the analytical results of the plane stress assumption are very close to the simulation results,which means the plane stress assumption is closer to the actual situation than the plane strain assumption.Wrinkle instability conditions in the flange region and rupture instability conditions of cylindrical parts were constructed under the plane strain assumption.And the formula of critical BHF was deduced from the assumption.The project of critical BHF with drawing position for a specific deep drawing problem was obtained.The analysis results are useful for understanding of the characteristics of different deformation regions in deep drawing process.Also,the analyses are helpful to set up more reliable criterions of wrinkling and rupture.Meanwhile,it is more accurate to predict the forming defects and critical BHF.