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Determination of a Drawing Die's Cone Angle at a Small Compression Ratio Based on the Upper Bound Theory

Determination of a Drawing Die's Cone Angle at a Small Compression Ratio Based on the Upper Bound Theory
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摘要 The value of a drawing die's cone angle has great influence on wire drawing. In order to determine the optimum value of a drawing die' s cone angle, the plastic deformation power Wi, shear deformation power Wi and friction power of contact surface Wf were calculated using the upper bound theory with a reasonable and movement permitted velocity field according to the related characteristics. Then the relation between half cone angle and unit drawing force was obtained and it was compared with the result with the spherical velocity field. The relative error of the two near the optimal value is only about 0. 26% through comparing with existing calculated results. Finally, in an ABAQUS environment the finite element modal of the wire rod with 12. 5 mm diameter in first drawing pass was established and the axial drawing force in different cone angles was obtained using the ABAQUS/Explicit explicit integration method. The finite element method (FEM) results verify the results using the upper bound theory and this indicated that the velocity field and the relation between half cone angle and unit drawing force reasonable. The value of a drawing die's cone angle has great influence on wire drawing. In order to determine the optimum value of a drawing die' s cone angle, the plastic deformation power Wi, shear deformation power Wi and friction power of contact surface Wf were calculated using the upper bound theory with a reasonable and movement permitted velocity field according to the related characteristics. Then the relation between half cone angle and unit drawing force was obtained and it was compared with the result with the spherical velocity field. The relative error of the two near the optimal value is only about 0. 26% through comparing with existing calculated results. Finally, in an ABAQUS environment the finite element modal of the wire rod with 12. 5 mm diameter in first drawing pass was established and the axial drawing force in different cone angles was obtained using the ABAQUS/Explicit explicit integration method. The finite element method (FEM) results verify the results using the upper bound theory and this indicated that the velocity field and the relation between half cone angle and unit drawing force reasonable.
出处 《International Journal of Plant Engineering and Management》 2011年第4期215-220,共6页 国际设备工程与管理(英文版)
基金 supported by Foundation of Guizhou Science and Technology Department under Grant No.[2008]2210 and No.[2009]3009 Foundation of Guizhou University under Grant No. [2007]25
关键词 upper bound theory drawing die cone angle FEM ABAQUS upper bound theory drawing die cone angle FEM ABAQUS
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参考文献9

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