Distributed dislocation-residual stress model of cold rolled strips based on the complex variable function method of plane elasticity
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摘要: 為揭示冷軋帶鋼可見浪形的形成機理,通過實測殘余應力值計算分布位錯,提出分布位錯-殘余應力模型.利用平面彈性復變方法計算彈性平板中一條帶有典型分布位錯的直線粘接邊界所產生的應力場,分析該應力場的特點及多條互相平行的帶有分布位錯的直線粘接邊界所產生應力場間的相互影響.同時結合實測數據,給出實際分布位錯的計算結果,其對應的殘余應力近似值與殘余應力實測值誤差較小,且這一方法具有一般性.進一步分析分布位錯,給出帶鋼屈曲撓度函數的形式,與現場實際起浪形式相吻合.Abstract: 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.
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Key words:
- cold rolling /
- strip steel /
- residual stress /
- dislocations /
- mathematical models /
- complex analysis /
- buckling /
- deflection
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