FEM analysis on three dimensional cutting: analysis on large deformation problem of tool entry

H. Sasahara, T. Obikawa, T. Shirakashi
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引用次数: 16

Abstract

Tool entry process in three dimensional cutting is simulated by finite element method. Since the chip forming process is one of large deformation problems, geometrical nonlinearity due to the change of shape is introduced into finite element formulation. Constant strain tetrahedra element is used and over-constraint of incompressibility on the deformation of the finite elements in plastic region is relaxed using Nagategaal-Rice functional to make the elements as deformable as real continuum. The chip formation from tool entry to steady state is realized in the analysis and stress and strain distributions in chip and machined surfaces are also obtained. Lower shear angle at side surface of the work, side flow and chip flow direction predicted are in good agreement with experimental results of cutting of plasticine.
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三维切削的有限元分析:刀具入口大变形问题分析
采用有限元方法对三维切削中的刀具进刀过程进行了模拟。由于切屑成形过程是大变形问题之一,将形状变化引起的几何非线性引入有限元公式中。采用恒应变四面体单元,利用nagategal - rice泛函放宽了有限元在塑性区不可压缩变形的过度约束,使单元具有实连续体的可变形性。分析中实现了切屑从刀具进入到稳定状态的形成过程,得到了切屑和加工表面的应力应变分布。所预测的工件侧面较低的剪切角、侧流和切屑流向与塑泥切削实验结果吻合较好。
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