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滑移线场应力的几何映射
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英文标题：Geometrical Mapping for Stress in Slip Line Field |
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作者：彭炎荣 |
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单位： 湘潭大学 |
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关键词：滑移线 几何映射 |
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分类号： |
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出版年,卷(期):页码：1988,13(3):2-7 |
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摘要：
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求解滑移线场应力对研究金属成形极为重要。利用几何映射求解滑移线场应力,比按汉基应力方程逐点计算,不但直观清晰,而且大为简化。本文提出一种在(σm/K)-ω平面上的线性映射方法,介绍了这种几何结构的基本原理、作图方法及应用实例,并与W.Prager在极点轨迹基础上建立的σr-τxy平面上的映射进行了比较。
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It is of great importance that determination of the stress in slip line field to study of metal forming. In comparison with the computation point by point according to Hencky stress equations, determination of the stress in slip line field by use of the geometrical mapping is more visual, clear and simple. In this paper a linear mapping in(σm/k-ω) plane is suggested by author. The basic theory, procedure of drawing and some examples in the application of this geometrical mapping are discussed. Moreover, it is compared with Prager's construction which was based on the cycloid locus of the pole.
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基金项目：
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作者简介：
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参考文献：
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[1] 彭炎荣:滑移线场应力图解法《湘潭大学学报》1986、 No 2、 94～106
[2] 彭炎荣:滑移线场应力简易图解法--摆线尺作图《金属成形工艺》1986,No 3、 35～40
[3] 彭炎荣:圓轴横锻应力的图解分析《锻压技术》1986、 No 6、 1～7
[4] 彭炎荣:利用极点轨迹图解滑移线场应力《全国第四届锻压学术年会论文集》1987． 6． 117～122
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