Research Papers

Multigrain Smoothed Particle Hydrodynamics and Hertzian Contact Modeling of the Grinding Force in Atherectomy

[+] Author and Article Information
Yihao Zheng

Mechanical Engineering,
University of Michigan,
2380 G.G. Brown, 2350 Hayward Street,
Ann Arbor, MI 48109
e-mail: yhzheng@umich.edu

Yao Liu

Mechanical Engineering,
University of Michigan,
2380 G.G. Brown, 2350 Hayward Street,
Ann Arbor, MI 48109
e-mail: yaoliuz@umich.edu

Yang Liu

Mechanical Engineering,
University of Michigan,
2380 G.G. Brown, 2350 Hayward Street,
Ann Arbor, MI 48109
e-mail: yliume@umich.edu

Albert J. Shih

Mechanical Engineering, Biomedical Engineering,
University of Michigan,
2380 G.G. Brown, 2350 Hayward Street,
Ann Arbor, MI 48109
e-mail: shiha@umich.edu

1Corresponding author.

Manuscript received September 19, 2018; final manuscript received December 19, 2018; published online March 1, 2019. Assoc. Editor: Radu Pavel.

J. Manuf. Sci. Eng 141(4), 041015 (Mar 01, 2019) (8 pages) Paper No: MANU-18-1669; doi: 10.1115/1.4042603 History: Received September 19, 2018; Accepted December 19, 2018

This study investigated the grinding force in rotational atherectomy, a clinical procedure that uses a high-speed grinding wheel to remove hardened, calcified plaque inside the human arteries. The grinding force, wheel motion, and ground surface were measured based on a ring-shape bovine bone surrogate for the calcified plaque. At 135,000, 155,000, and 175,000 rpm wheel rotational speed, the grinding forces were 1.84, 1.92, and 2.22 N and the wheel orbital speeds were 6060, 6840, and 7800 rpm, respectively. The grinding wheel was observed to bounce on the wall of the bone surrogate, leaving discrete grinding marks. Based on this observation, we modeled the grinding force in two components: impact and cutting forces. The impact force between the grinding wheel and the bone surrogate was calculated by the Hertz contact model. A multigrain smoothed particle hydrodynamics (SPH) model was established to simulate the cutting force. The grinding wheel model was built according to the wheel surface topography scanned by a laser confocal microscope. The workpiece was modeled by kinematic-geometrical cutting. The simulation predicted a cutting force of 41, 51, and 99 mN at the three investigated wheel rotational speeds. The resultant grinding forces, combining the impact and cutting forces modeled by the Hertz contact and SPH simulation, matched with the experimental measurements with relative errors less than 10%.

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Fig. 3

FG,Y measurement and the averaged grinding force FG

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Fig. 2

Experimental setup

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Fig. 1

Grinding of plaque in rotational atherectomy

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Fig. 4

Ground surface: (a) ESEM images at three rotational speeds, (b) discrete grinding in RA, and (c) confocal microscopy measurement of the depth of penetration, width, and length of a grinding mark

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Fig. 5

Dynamics of the grinding wheel in RA discrete grinding: (a) kinematics configuration, (b) impact, hydraulic, and cutting forces, and (c) the change of velocity of the grinding wheel during impact

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Fig. 6

SPH simulation: (a) geometrical configuration and (b) close-up view of the grinding wheel model with abrasive grains and depth of penetration f (unit: mm)

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Fig. 7

Multigrain grinding wheel modeling: (a) wheel abrasive surface topography, (b) flat- and point-tip grains, (c) flat-tip and (d) point-tip grain models and dimensions, (e) height distribution of all measured grains, and (f) multigrain wheel model

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Fig. 8

Workpiece modeling with SPH particles and LFE and dimensions (unit: µm)

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Fig. 9

Kinematic-geometrical cutting of the workpiece: (a) starting and (b) ending configurations and (c) surface after K-G cutting

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Fig. 10

SPH simulation results of (a) grinding force magnitude on each grain and their summation Fg, (b) grain engagement with the workpiece, and (c) the von-Mises stress at five positions



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