Springback equation of small curvature plane bending
Springback equation of small curvature plane bending
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DOI：
10.1007/s11431-011-4447-4
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发表时间：
2011-09-01
影响因子：
4.6
通讯作者：
Ma LiXia
中科院分区：
文献类型：
--
作者：
Zhao Jun;Yin Jing;Ma LiXia
利用经典弹塑性理论的卸载准则和应变叠加原理，提出了一种新的小曲率平面弯曲回弹分析方法。本文从具有初曲率的平面弯曲的应变分析出发，在广泛适用的基本假设下进行理论推导。将所得结果统一为平面弯曲的几何约束方程和回弹方程，并可推广到直梁平面弯曲和纯弯曲。平面弯曲是平面曲梁的一种弯曲-拉伸过程，其扩圆过程是平面弯曲的一种情况。本文采用平面弯曲回弹方程对扩圆和立圆过程进行了分析，分析结果与实验数据吻合较好。这种新的平面弯曲回弹分析方法具有合理的预测精度，能够满足工程应用的需要。
A new analytical method for springback of small curvature plane bending is addressed with unloading rule of classical elastic-plastic theory and principle of strain superposition. We start from strain analysis of plane bending which has initial curvature, and the theoretic derivation is on the widely applicable basic hypotheses. The results are unified to geometry constraint equations and springback equation of plane bending, which can be evolved to straight beam plane bending and pure bending. The expanding and setting round process is one of the situations of plane bending, which is a bend-stretching process of plane curved beam. In the present study, springback equation of plane bending is used to analyze the expanding and setting round process, and the results agree with the experimental data. With a reasonable prediction accuracy, this new analytical method for springback of plane bending can meet the needs of applications in engineering.