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A numerical method to predict work-hardening caused by plastic deformation

机译：预测塑性变形导致加工硬化的数值方法

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摘要

The hardening layer might form on the machined workpiece surface especially under worn cutting edge, which is caused by plastic deformation. The increased surface hardness affects the using or re-processing performance of workpiece. The finite element method was adopted in most previous works to acquire the elastic-plastic behavior and hardening layer. However, the complexity of meshing is an obvious limitation. To address this, a meshless finite block method with infinite element is developed to conduct elastic-plastic deformation analysis and hardening layer prediction for the first time. The Lagrange interpolation constructs the differential matrices in normalized domain with Chebyshev's distribution of nodes. The infinite element was introduced by a block of quadratic types to reduce the nodes used. The Prandtl-Reuss incremental theory with isotropic hardening was applied. Good agreements on stress and strain predictions were observed between this method and finite element method (ABAQUS), while a higher convergence of this method was demonstrated. The stress and strain results of ABAQUS is more sensitive to node density, which might bring larger error. Finally, the simulated work-hardening layer results show that the traction force plays a more important role than pressure force to cause a larger plastic deformation and a deeper work-hardening layer.
机译：硬化层可能在加工的工件表面上形成，特别是在磨损的切削刃下，这是由于塑性变形引起的。增加的表面硬度会影响工件的使用或再加工性能。先前的大多数工作都采用有限元方法来获得弹塑性行为和硬化层。但是，网格划分的复杂性是一个明显的限制。为了解决这个问题，首次开发了具有无限元的无网格有限块方法，以进行弹塑性变形分析和硬化层预测。 Lagrange插值使用Chebyshev的节点分布在归一化域中构造微分矩阵。无限元素由一组二次类型引入，以减少使用的节点。应用了具有各向同性强化的Prandtl-Reuss增量理论。在此方法与有限元方法（ABAQUS）之间，在应力和应变预测方面取得了很好的一致性，同时证明了该方法具有更高的收敛性。 ABAQUS的应力和应变结果对节点密度更加敏感，这可能带来更大的误差。最后，模拟的加工硬化层结果表明，牵引力比压力更重要，可引起更大的塑性变形和更深的加工硬化层。

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