用于薄片试样弹塑性应力-应变分析的半解析方法

针对圆弧漏斗薄片试样和圆环薄片试样提出了半解析统一模型，并进行了有限元验证，该模型对漏斗薄片试样与圆环薄片试样单调力学行为均有优良的描述性。完成了漏斗薄片试样与圆环薄片试样的单轴拉伸试验及变幅对称循环试验，获得了载荷-位移曲线和循环稳定载荷幅-位移幅曲线。通过该模型并利用试验曲线预测材料单轴应力-应变关系和循环应力-应变关系，发现根据两种薄片试样预测的材料应力-应变关系及循环应力-应变关系与标准圆棒试样结果吻合良好。

A semi-analytical method for elastoplastic stress-strain analysis of thin sheet specimens

A semi-analytical model for sheet-funnel specimens and sheet-ring specimens is proposed. The finite element analysis shows that the model is able to describe the monotonous mechanical behaviours of the two kinds of specimens. To gain the load-displacement curves of tensile tests and stable stage of cyclic tests, an uniaxial tensile test and a variable amplitude symmetric-cycle test of sheet-funnel specimens and sheet-ring specimens are carried out. Based on the model and the experimental curves, the uniaxial stress-strain relations and cyclic stress-strain relations of the specimens are predicted. The results show that the stress-strain relations and cyclic stress-strain relations predicted by sheet-funnel specimens and sheet-ring specimens are basically in agreement with those of smooth round bars.