平面变形正向挤压、反向挤压的参变量积分解法(减缩率R=0.5)
Solution for Plane Strain Forward and Backward Extrusions with a Fractional Reduction R=0.5 by the Integration Depending on a Parameter
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摘要: 对断面收缩率为R=0.5的平面变形正向、反向挤压滑移线场之刚性区边界滑移线引进参变量t进行换元积分,求得垫片或凹模上的挤压力.对反向挤压,应力影响系数p/2k=1.29,凸模压力为5.14k;对正向挤压,垫片平均压力为p=2.57k,p/2k=1.29.参量积分求得的上述结果与目前惯用解法之结果完全相同.Abstract: A parameter t is introduced to boundary slip line of rigid regions for plane strain and indirect extrusions with a fractional reduction R=0.5. Integration by substitution has been used along the boundary slip line in order to obtain the extrusion pressure. By the integration depending on a parameter, the following results are obtained, p/2k=1.29 and die pressure is 5.14k for backward extrusion; p/2k=1.29 and pad average pressure is 2.57k for forward extrusion. All the results from this method are the same as those of the conventional solution.
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