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寬帶材拉伸彎曲變形的理論模型

Modeling of strip deformation during tension leveling

  • 摘要: 應用板彎曲理論,引入平面變形假設和橫截面始終保持為平面假設,采用米塞斯屈服準則,建立了各向同性理想彈塑性金屬帶材的拉伸彎曲變形的一般解析分析方法和模型.它突破了基于初等梁彎曲理論建立的解析分析方法的局限性,得到了在過去同類研究中無法計算的帶材厚度方向的應力和應變,實現了對帶材拉伸彎曲變形過程更貼切的表征.通過以某冷軋帶鋼廠拉伸彎曲矯直機為算例的比較計算表明,本文所提出的帶材拉伸彎曲變形的"板彎曲"模型比"梁彎曲"模型有更符合實際.

     

    Abstract: For the problem of strip deformation during tension leveling, a mathematical model was proposed based on the plate bending theory. The Mises yielding criterion, elastic perfect-plastic material, plane strain assumption and the assumption of cross section keeping a plane were used during modeling. Limitations, which appear in previous similar research based on the beam bending theory, did not exist in the proposed model. By the proposed model, stress and strain in the thickness direction could be calculated, and strip deformation during tension leveling could be characterized more accurately. Calculation results of an example show that that the proposed model based on the plate bending theory agree with fact much better than the model based on the beam bending theory.

     

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