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厚件压缩滑移线场的参变量积分问题
引用本文:赵德文 张卫军. 厚件压缩滑移线场的参变量积分问题[J]. 应用数学和力学, 1993, 14(10): 913-918
作者姓名:赵德文 张卫军
作者单位:东北大学, 沈阳
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.

关 键 词:厚件   滑移线场   参量积分   解析解
收稿时间:1993-05-10

The Problem of Parametric Integration to the Slip Line Field in the Compression of Thick Workpiece
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
Authors:Zhao De-wen Zhang Wei-jun
Affiliation:Northeast University, Shengyang
Abstract:An integration depending on a parameter to the compression of a thick work-piece has been obtained. For the conventional prevailing numerical, formula20,-Ay, a definite functional relationship between 0 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 theotically chat for the slip line field a parametric intergration is perfectly possible for a satisfactory analytical solution.
Keywords:thick workpiece   slip line field   parametric itegration   analytical solution
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