拉伸试样颈缩过程中<i>I</i><sub>1</sub>的分布函数

拉伸试样颈缩过程中I₁的分布函数

基金项目:

国家重点研发计划项目（2016YFB0300701）

详细信息

摘要: 采用拉伸试样颈缩区应力方程的Bridgman解推导了颈缩区最小截面上的应力第一不变量I₁的计算公式，并对EH50钢试样拉伸过程中颈缩区不同位置的应力分布进行了分析。结果表明，圆拉试样拉伸至不同颈缩程度时，应力第一不变量I₁值从最小截面中心处到外边缘随r/a变化呈幂函数分布，颈缩区截面中心处I₁随应变量呈线性增加，相关性方程：I₁=517+1 153ε。
- 拉伸试验 /
- 颈缩区 /
- 应力第一不变量I₁
Abstract: Bridgman's solution of stress equation in necking zone of tension specimen was used to obtain the first stress invariant I₁ distribution function of necking zone. Stress distribution of necking zone of EH50 steel specimen was analyzed.Results indicated that I₁ of necking zone was distributed as power function, and that there was an increasing linear relationship between strain ε and I₁ at the center of necking zone, which could be expressed as I₁=517+1 153ε.
- tensile test /
- necking zone /
- first stress invariant