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Numerical study of the contact between a chamfered cylindrical PDC cutter and the rock

机译:倒角圆柱PDC切割器与岩石之间接触的数值研究

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Numerical rock cutting simulations are performed for different cutter configurations. Special attention is given to the contact region between the cutter and the rock. Frictional contact is solved using a Gap Based Augmented Lagrangian approach, in order to minimize the interpenetration error that is present in the less expensive penalty approach, while reducing finite element accumulation time compared to the standard Lagrangian method. Numerical experiments are performed with a single cylindrical cutter of radius 16 mm, a back rake of 15°, a depth of cut of 4 mm, and two different chamfers: a 0.3 mm chamfer at 15°, and a 0.5 mm chamfer at 45°. The number of Uzawa iterations required for the interpenetration error to have minimal impact on cutting forces is estimated, and the accuracy of the penalty approach is emphasized. Contact tractions are shown, suggesting areas where the mesh should be refined. A suitable mesh size is given for both chamfer geometries. The influence of the friction coefficient on cutting forces is evaluated, suggesting a cutter configuration insensitive to the value of the friction coefficient within a realistic range.
机译:为不同的切割器配置执行数值岩石切割模拟。特别注意切割器和岩石之间的接触区域。使用基于间隙的增强拉格朗日方法解决了摩擦触点,以最小化以较便宜的惩罚方法存在的互通错误,同时与标准拉格朗日方法相比减少有限元累积时间。用半径16mm的单个圆柱形切割器进行数值实验,背面耙15°,切割深度为4mm,两个不同的倒角:在15°的0.3mm倒角,45°处为0.5mm倒角。估计互联网误差对切割力产生最小影响的乌扎迭代的数量,并强调了惩罚方法的准确性。显示接触牵引力,建议网眼应该改进网状物。对于倒角几何形状给出了合适的网格尺寸。评估摩擦系数对切割力的影响,暗示了对现实范围内的摩擦系数的值不敏感的切割器配置。

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