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The problem of parametric integration to the slip line field in the compression of thick workpiece

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Abstract

An integration depending on a parameter to the compression of a thick workpiece has been obtained. For the conventional prevailing numerical formula

$$\int {\phi _1 dy = \sum\limits_{i = 1}^n {\phi _i \cdot \Delta } } y$$

a definite functional relationship between ϕ and y is found. Therefore a paremetric 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.

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Authors and Affiliations

  1. Northeast University, Shengyang

    Zhao De-wen & Zhang Wei-jun

Authors
  1. Zhao De-wen
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  2. Zhang Wei-jun
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Additional information

Communicated by Chien Wei-zang

First received April 25, 1990.

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De-wen, Z., Wei-jun, Z. The problem of parametric integration to the slip line field in the compression of thick workpiece. Appl Math Mech 14, 963–969 (1993). https://doi.org/10.1007/BF02451710

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  • DOI: https://doi.org/10.1007/BF02451710

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