基于平面弹性复变方法的冷轧带钢分布位错-残余应力模型

为揭示冷轧带钢可见浪形的形成机理,通过实测残余应力值计算分布位错,提出分布位错-残余应力模型.利用平面弹性复变方法计算弹性平板中一条带有典型分布位错的直线粘接边界所产生的应力场,分析该应力场的特点及多条互相平行的带有分布位错的直线粘接边界所产生应力场间的相互影响.同时结合实测数据,给出实际分布位错的计算结果,其对应的残余应力近似值与残余应力实测值误差较小,且这一方法具有一般性.进一步分析分布位错,给出带钢屈曲挠度函数的形式,与现场实际起浪形式相吻合.

Distributed dislocation-residual stress model of cold rolled strips based on the complex variable function method of plane elasticity

In order to reveal the formation mechanism of the manifested waves of cold rolled strips,the distributed dislocation was calculated by using measured residual stress,and a distributed dislocation-residual stress model was proposed. The stress field of an elastic plane with a typically distributed dislocation in the straight boundary was analyzed using the complex variable function method of plane elasticity,and the interaction was studied between the stress fields due to several straight lines with the distributed dislocation.In combination with measured data,the actual distributed dislocation which corresponds to a small relative error of residual stress was calculated in a general way. The form of the deflection function was shown by analyzing the distributed dislocation,which coincides with the actual buckling mode.