厚件压缩滑移线场的参变量积分问题
The Problem of Parametric Integration to the Slip Line Field in the Compression of Thick Workpiece
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摘要: 本文提出一种可使厚件压缩获得解析解的参变量积分方法.对传统数值计算找到了φ与y的函数关系,从而可用参量积分求得解析解.l/h=0.121的滑移线场算例表明参量积分结果与数值计算结果基本一致,在理论上表明厚件压缩滑移线场求得解析解完全可能.Abstract: 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.
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Key words:
- thick workpiece /
- slip line field /
- parametric integration /
- analytical solution
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