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基于最小能量原理计算高速切削过程中的剪切角
引用本文:倪宏超,朱国辉.基于最小能量原理计算高速切削过程中的剪切角[J].安徽工业大学学报,2014(2):120-125.
作者姓名:倪宏超  朱国辉
作者单位:安徽工业大学材料科学与工程学院,安徽马鞍山243002
基金项目:国家自然科学基金项目(51175003)
摘    要:以Oxley模型的切削力和切削几何关系为基础,提出通过计算切削过程中第一形变区、第二形变区的应力和应变来计算塑性变形功,从而构建随着切削过程中剪切角的变化,系统总能量变化规律的计算模型。基于最小能量原理,确定对应切削过程中塑性变形功最低时的剪切角为平衡剪切角。在模型中引入Johnson-Cook本构方程与动态流变应力本构方程,以文献中45钢的切削实验数据为依据,分别计算引入2种本构方程的基于最小能量原理模型的剪切角,并将计算结果与Oxley模型的计算结果进行对比分析,结果表明文中构建模型的计算结果与实验结果吻合较好。

关 键 词:Oxley模型  剪切角  塑性变形功  最小能量

Modeling of Shear Angle Calculation Based on Minimum of Plastic Deformation Energy
NI Hongchao,ZHU Guohui.Modeling of Shear Angle Calculation Based on Minimum of Plastic Deformation Energy[J].Journal of Anhui University of Technology,2014(2):120-125.
Authors:NI Hongchao  ZHU Guohui
Affiliation:(School of Materials Science and Engineering, Anhui University of Technology, Ma'anshan 243002, China)
Abstract:Based on the relationship of cutting force and cutting geometry developed by Oxley, effect of plastic deformation energy on the primary shear zone and secondary shear zone on the shear angle was analyzed through calculation of stress and strain on the primary and secondary shear zone during high speed machining. Equilibrium shear angle was defined as corresponding to minimum of total plastic deformation energy. Introducing Johnson-Cook constitutive equations and dynamic flow stress constitutive equation in the model to calculate the shear angle of minimum energy based on the experimental results of 45 steel and compare the calculation with the result of Oxley model. It could be seen that the calculation from the present model is in good agreement with the experimental results.
Keywords:Oxley cutting model  shear angle  plastic work  minimum energy
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