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Research Papers

Rounded Cutting Edge Model for the Prediction of Bone Sawing Forces

[+] Author and Article Information
Thomas P. James

Laboratory for Biomechanical Studies, Department of Mechanical Engineering,  Tufts University, 200 College Avenue, Medford, MA 02155thomas.james@tufts.edu

John J. Pearlman, Anil Saigal

Laboratory for Biomechanical Studies, Department of Mechanical Engineering,  Tufts University, 200 College Avenue, Medford, MA 02155

J Biomech Eng 134(7), 071001 (Jul 02, 2012) (11 pages) doi:10.1115/1.4006972 History: Received December 31, 2011; Revised May 29, 2012; Posted June 18, 2012; Published June 29, 2012; Online July 02, 2012

A new analytical model to predict bone sawing forces is presented. Development of the model was based on the concept of a single tooth sawing at a depth of cut less than the cutting edge radius. A variable friction model was incorporated as well as elastic Hertzian contact stress to determine a lower bound for the integration limits. A new high speed linear apparatus was developed to simulate cutting edge speeds encountered with sagittal and reciprocating bone saws. Orthogonal cutting experiments in bovine cortical bone were conducted for comparison to the model. A design of the experiment’s approach was utilized with linear cutting speeds between 2600 and 6200 mm/s for depths of cut between 2.5 and 10 μm. Resultant forces from the design of experiments were in the range of 8 to 11 N, with higher forces at greater depths of cut. Model predictions for resultant force magnitude were generally within one standard deviation of the measured force. However, the model consistently predicted a thrust to cutting force ratio that was greater than measured. Consequently, resultant force angles predicted by the model were generally 20 deg higher than calculated from experimental thrust and cutting force measurements.

FIGURES IN THIS ARTICLE
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Copyright © 2012 by American Society of Mechanical Engineers
Topics: Force , Sawing , Bone , Cutting , Thrust
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References

Figures

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Figure 1

Cutting model with a defined shear plane

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Figure 2

Cutting model with plowing and chip creation

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Figure 3

Rounded cutting edge model

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Figure 4

Shear plane angle as a function of chip thickness ratio

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Figure 6

Friction angle as a function of depth of cut

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Figure 7

Hertzian contact stress model

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Figure 13

Resultant force magnitude

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Figure 14

Resultant force angle

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Figure 12

Cutting force at each rake angle segment

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Figure 11

Results from design of experiments

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Figure 10

High speed linear sawing apparatus

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Figure 9

Workpiece holder arrangement

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Figure 8

Cortical bone sample prepared for cutting test

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