0
Research Papers

Thermal Modeling of Temperature Rise for Bone Drilling With Experimental Validation

[+] Author and Article Information
Jianbo Sui

Department of Mechanical Engineering,
The University of Tokyo,
7-3-1 Hongo, Bunkyo-ku,
Tokyo 1138656, Japan
e-mail: jianbo_sui@hotmail.com

Naohiko Sugita

Department of Mechanical Engineering,
The University of Tokyo,
7-3-1 Hongo, Bunkyo-ku,
Tokyo 1138656, Japan
e-mail: sugi@mfg.t.u-tokyo.ac.jp

Mamoru Mitsuishi

Department of Mechanical Engineering,
The University of Tokyo,
7-3-1 Hongo, Bunkyo-ku,
Tokyo 1138656, Japan
e-mail: mamoru@nml.t.u-tokyo.ac.jp

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received September 20, 2014; final manuscript received June 7, 2015; published online September 9, 2015. Assoc. Editor: Yong Huang.

J. Manuf. Sci. Eng 137(6), 061008 (Sep 09, 2015) (10 pages) Paper No: MANU-14-1484; doi: 10.1115/1.4030880 History: Received September 20, 2014

This paper provides a methodology to develop a thermal model for predicting the temperature rise during surgical drilling of bone. The thermal model consists of heat generation calculation based on classical machining theory and development of governing equations of heat transfer individually for drill bit and bone. These two governing equations are coupled by shared boundary conditions. Finite-difference method is utilized to approximate the thermal model and effects of drill bit geometry and process parameters on temperature rise are evaluated by comparison with experiments. The simulated results fit well with experiments with respect to different drill bit geometry (<3.02 °C) and process parameters (<4.32 °C).

FIGURES IN THIS ARTICLE
<>
Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Augustin, G. , Zigman, T. , Davila, S. , Udilljak, T. , Staroveski, T. , Brezak, D. , and Babic, S. , 2012, “Cortical Bone Drilling and Thermal Osteonecrosis,” Clin. Biomech., 27(4), pp. 313–325. [CrossRef]
Lundskog, J. , 1972, “Heat and Bone Tissue: An Experimental Investigation of the Thermal Properties of Bone and Threshold Levels for Thermal Injury,” Scand. J. Plast. Reconstr. Surg., 9, pp. 1–80. [PubMed]
Eriksson, A. R. , and Albrektsson, T. , 1983, “Temperature Threshold Levels for Heat-Induced Bone Tissue Injury: A Vital-Microscopic Study in the Rabbit,” J. Prosthet. Dent., 50(1), pp. 101–107. [CrossRef] [PubMed]
Pandey, R. K. , and Panda, S. S. , 2013, “Drilling of Bone: A Comprehensive Review,” J. Clin. Orthop. Trauma, 4(1), pp. 15–30. [CrossRef] [PubMed]
Augustin, G. , Davila, S. , Udilljak, T. , Staroveski, T. , Brezak, D. , and Babic, S. , 2012, “Temperature Changes During Cortical Bone Drilling With a Newly Designed Step Drill and an Internally Cooled Drill,” Int. Orthop., 36(7), pp. 1449–1456. [CrossRef] [PubMed]
Sener, B. C. , Dergin, G. , Gursoy, B. , Kelesoglu, E. , and Slih, I. , 2009, “Effects of Irrigation Temperature on Heat Control in Vitro at Different Drilling Depths,” Clin. Oral Implants Res., 20(3), pp. 294–298. [CrossRef] [PubMed]
Augustin, G. , Davila, S. , Mihoci, K. , Udiljak, T. , Vedrina, D. S. , and Antabak, A. , 2008, “Thermal Osteonecrosis and Bone Drilling Parameters Revisited,” Arch. Orthop. Trauma Surg., 128(1), pp. 71–77. [CrossRef] [PubMed]
Gehrke, S. A. , Neto, H. L. , and Mardegan, F. E. , 2013, “Investigation of the Effect of Movement and Irrigation Systems on Temperature in the Conventional Drilling of Cortical Bone,” Br. J. Oral Maxillofac. Surg., 51(8), pp. 953–957. [CrossRef] [PubMed]
Allan, W. , Williams, E. D. , and Kerawala, C. J. , 2005, “Effects of Repeated Drill Use on Temperature of Bone During Preparation for Osteosynthesis Self-Tapping Screws,” Br. J. Oral Maxillofac. Surg., 43(4), pp. 314–319. [CrossRef] [PubMed]
Chacon, G. E. , Bower, D. L. , Larsen, P. E. , McGlumphy, E. A. , and Beck, F. M. , 2006, “Heat Production by 3 Implant Drill Systems After Repeated Drilling and Sterilization,” J. Oral Maxillofac. Surg., 64(2), pp. 265–269. [CrossRef] [PubMed]
Misir, A. F. , Sumer, M. , Yenisey, M. , and Ergioglu, E. , 2009, “Effect of Surgical Drill Guide on Heat Generated From Implant Drilling,” J. Oral Maxillofac. Surg., 67(12), pp. 2663–2668. [CrossRef] [PubMed]
Sumer, M. , Misir, A. F. , Telcioglu, N. T. , Guler, A. U. , and Yenisey, M. , 2011, “Comparison of Heat Generation During Implant Drilling Using Stainless Steel and Ceramic Drills,” J. Oral Maxillofac. Surg., 69(5), pp. 1350–1354. [CrossRef] [PubMed]
Lee, J. , Ozdoganlar, O. B. , and Rabin, Y. , 2012, “An Experimental Investigation on Thermal Exposure During Bone Drilling,” Med. Eng. Phys., 34(10), pp. 1510–1520. [CrossRef] [PubMed]
Kalidindi, V. , 2004, “Optimization of Drill Design and Coolant Systems During Dental Implant Surgery,” Master's thesis, University of Kentucky, Lexington, KT.
Ueda, T. , Wada, A. , Hasegawa, K. , Endo, Y. , Takikawa, Y. , Hasegawa, T. , and Hara, T. , 2010, “The Effect of Drill Design Elements on Drilling Characteristics When Drilling Bone,” J. Biomech. Sci. Eng., 5(4), pp. 399–407. [CrossRef]
Karaca, F. , Aksakal, B. , and Kom, M. , 2011, “Influence of Orthopaedic Drilling Parameters on Temperature and Histopathology of Bovine Tibia: An in Vitro Study,” Med. Eng. Phys., 33(10), pp. 1221–1227. [CrossRef] [PubMed]
Sharawy, M. , Misch, C. E. , Weller, N. , and Tehemar, S. , 2002, “Heat Generation During Implant Drilling: The Significance of Motor Speed,” J. Oral Maxillofac. Surg., 60(10), pp. 1160–1169. [CrossRef] [PubMed]
Matthews, L. S. , and Hirsch, C. , 1972, “Temperatures Measured in Human Cortical Bone When Drilling,” J. Bone Jt. Surg., 54(2), pp. 297–308.
Alam, K. , 2009, “Experimental and Numerical Analysis of Conventional and Ultrasonically-Assisted Cutting of Bone,” Ph.D. thesis, Loughborough University, Loughborough, UK.
Hillery, M. T. , and Shuaib, I. , 1999, “Temperature Effects in the Drilling of Human and Bovine Bone,” J. Mater. Process. Technol., 92–93, pp. 302–308. [CrossRef]
Marco, M. , Rodriguez-Millan, M. , Santiuste, C. , Giner, E. , and Miguelez, M. H. , 2015, “A Review on Recent Advances in Numerical Modelling of Bone Cutting,” J. Mech. Behav. Biomed. Mater., 44, pp. 179–201. [CrossRef] [PubMed]
Tu, Y.-K. , Lu, W.-H. , Chen, L.-W. , Ciou, J.-S. , and Chen, Y.-C. , 2011, “The Effects of Drilling Parameters on Bone Temperatures: A Finite Element Simulation,” 5th International Conference on Bioinformatics and Biomedical Engineering, (iCBBE), Wuhan, May 10–12 pp. 1–4.
Tu, Y.-K. , Chen, L.-W. , Ciou, J.-S. , Hsiao, C.-K. , and Chen, Y.-C. , 2013, “Finite Element Simulations of Bone Temperature Rise During Bone Drilling Based on a Bone Analog,” J. Med. Biol. Eng., 33(3), pp. 269–274. [CrossRef]
Sezek, S. , Aksakal, B. , and Karaca, F. , 2012, “Influence of Drill Parameters on Bone Temperature and Necrosis: A FEM Modelling and in Vitro Experiments,” Comput. Mater. Sci., 60, pp. 13–18. [CrossRef]
Davidson, S. R. H. , and James, D. F. , 2003, “Drilling in Bone: Modeling Heat Generation and Temperature Distribution,” ASME J. Biomech. Eng., 125(3), pp. 305–314. [CrossRef]
Lee, J. , Rabin, Y. , and Ozdoganlar, O. B. , 2011, “A New Thermal Model for Bone Drilling With Applications to Orthopaedic Surgery,” Med. Eng. Phys., 33(10), pp. 1234–1244. [CrossRef] [PubMed]
Boothroyd, G. , 1963, “Temperatures in Orthogonal Metal Cutting,” Proc. Inst. Mech. Eng., 177(1), pp. 789–810. [CrossRef]
Maani, N. , Farhang, K. , and Hodaei, M. , 2014, “A Model for the Prediction of Thermal Response of Bone in Surgical Drilling,” J. Therm. Sci. Eng. Appl., 6(4), p. 041005. [CrossRef]
Lee, J. , Gozen, B. A. , and Ozdoganlar, O. B. , 2012, “Modeling and Experimentation of Bone Drilling Forces,” J. Biomech., 45(6), pp. 1076–1083. [CrossRef] [PubMed]
Sui, J. , Sugita, N. , Ishii, K. , Harada, K. , and Mitsuishi, M. , 2014, “Mechanistic Modeling of Bone-Drilling Process With Experimental Validation,” J. Mater. Process. Technol., 214(4), pp. 1018–1026. [CrossRef]
Sui, J. , Sugita, N. , Ishii, K. , Harada, K. , and Mitsuishi, M. , 2013, “Force Analysis of Orthogonal Cutting of Bovine Cortical Bone,” Mach. Sci. Technol., 17(4), pp. 637–649. [CrossRef]
Tay, A. O. , Stevenson, M. G. , de Vahl Davis, G. , and Oxley, P. L. B. , 1976, “A Numerical Method for Calculating Temperature Distributions in Machining, From Force and Shear Angle Measurements,” Int. J. Mach. Tool Des. Res., 16(4), pp. 335–349. [CrossRef]
Ernst, H. , and Merchant, M. E. , 1941, “Chip Formation, Friction and High Quality Machined Surfaces,” Surf. Treat. Met., 29, pp. 299–378.
Venuvinod, P. K. , and Lau, W. S. , 1986, “Estimation of Rake Temperatures in Free Oblique Cutting,” Int. J. Mach. Tool Des. Res., 26(1), pp. 1–14. [CrossRef]
Stabler, G. V. , 1951, “The Fundamental Geometry of Cutting Tools,” Proc. Inst. Mech. Eng., 165(1), pp. 14–26. [CrossRef]
Shamoto, E. , and Altintas, Y. , 1999, “Prediction of Shear Angle in Oblique Cutting With Maximum Shear Stress and Minimum Energy Principles,” ASME J. Manuf. Sci. Eng., 121(3), pp. 399–407. [CrossRef]
Carslaw, H. , and Jaeger, J. , 1986, Conduction of Heat in Solids, Clarendon Press, Oxford, UK.
Udiljak, T. , Ciglar, D. , and Skoric, S. , 2007, “Investigation Into Bone Drilling and Thermal Bone Necrosis,” Adv. Prod. Eng. Manage., 2(3), pp. 103–112.

Figures

Grahic Jump Location
Fig. 1

Schematic illustration of drilling process: (a) drill bit geometry, (b) oblique cutting geometry representing one typical section along the cutting lip [34], and (c) cutting angles and three zones for heat generation in the normal plane

Grahic Jump Location
Fig. 2

Heat balance for a typical control volume in drill bit and bone domain

Grahic Jump Location
Fig. 3

Initial and boundary conditions for drill bit and bone thermal systems

Grahic Jump Location
Fig. 4

Temperature distribution at drilling depth 3, 6, and 9 mm with air or water convection

Grahic Jump Location
Fig. 5

Maximum temperature with respect to drilling depth and convection coefficient (spindle speed = 1500 rpm and feed rate = 120 mm/min)

Grahic Jump Location
Fig. 6

Temperature distribution with respect to initial temperature of drill bit (drilling depth = 9 mm)

Grahic Jump Location
Fig. 7

Bone-drilling platform for temperature measurement

Grahic Jump Location
Fig. 8

Thermocouple position for temperature measurement

Grahic Jump Location
Fig. 9

Comparison of temperature rise between simulations and experiments with respect to spindle speed and feed rate

Grahic Jump Location
Fig. 10

Comparison of temperature rise between simulations and experiments with respect to diameter

Grahic Jump Location
Fig. 11

Comparison of temperature rise between simulations and experiments with respect to point angle and helix angle

Grahic Jump Location
Fig. 12

Comparison of temperature rise between simulations and experiments with respect to chisel edge angle and web thickness

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In