Zhao De-wen, Zhang Wei-jun. The Problem of Parametric Integration to the Slip Line Field in the Compression of Thick Workpiece[J]. Applied Mathematics and Mechanics, 1993, 14(10): 913-918.
Citation: Zhao De-wen, Zhang Wei-jun. The Problem of Parametric Integration to the Slip Line Field in the Compression of Thick Workpiece[J]. Applied Mathematics and Mechanics, 1993, 14(10): 913-918.

The Problem of Parametric Integration to the Slip Line Field in the Compression of Thick Workpiece

  • Received Date: 1993-05-10
  • Publish Date: 1993-10-15
  • An integration depending on a parameter to the compression of a thick workpiece has been obtained. For the conventional prevailing numerical formula a definite functional relationship bet-ween φ and y is found. Therefore a parametric integration can be used to get an analytical solution. Take the slip line field for l/h=0.121 as an example, the analytical solution is basically the same as the prevailing numerical one. It is justified theoretically that for the slip line field a parametric integration is perfectly possible for a satisfactory analytical solution.
  • loading
  • [1]
    Hill,R.,The Mathematical Theory of Plasticity,Oxford,Clarendon Press(1950),35-36,128-160,166-168,254,257.
    [2]
    赵志业,《金属塑料加工学》,冶金工业出版社(1987), 176-181.
    [3]
    William, F.H.and M.C.Robert, Metdl Forming IYlechanics and Mefallurgy,Frenlicc-Hall Inc.(1983), 187-190.
    [4]
    臼井英治著,《金属加工力字》,廉元国译,国防工业出版社(1984), 210.
    [5]
    赵德文、张强,平面变形正向挤压,反向挤压参变量积分解法,应用数学和力学,9(4) (1988),379-384.
    [6]
    赵德交,压缩薄件死区界滑移线函数的可积性,东北工学院学报,(3)(1986), 118-123.
    [7]
    Zhao De-wen and Zhang Qiang,An integration depending on parameter φ for analytical solution of the compression of thin workpiece,Chin.J.Met.Sci.,Technol.,6,2(1990),132-139.
    [8]
    Collins,I.F.,Slipline field analysis of forming processes in plane stain and axial symmetry,Advanced Tachnology of Plasticity,11(1984),1074-1084.
    [9]
    数学手册编写组,《数学手册》,人民教育出版社,北京(1979), 228, 272-273.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2008) PDF downloads(639) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return