A Review on Cutting Mechanism for Bone Material

doi:10.3901/JME.2021.11.002

Abstract

Abstract: Bone is an anisotropic material with complex structure. Also, its processing is a basic technology in surgery. The quality of bone processing is the critical factor in surgical treatment effect, implant stability and postoperative recovery time. The mechanical properties of bone are varied from different parts of huma body. Moreover, there are many kinds of surgical instruments, which make the processing methods of bone materials diversified. And those surgical instruments need to process bone material with high precision, high efficiency and low damage. The research of bone cutting mechanism is of great significance to improve the performance of surgical instruments, surgical treatment and rehabilitation effect. Base on the basic characteristics of bone material, this review introduces the cutting mechanism of conventional (i.e. drilling, milling, grinding, sawing) and non-conventional (i.e. ultrasonic, laser, water/abrasive jet) bone processing, clarifying the development status of cutting force and cutting temperature models. Moreover, some existing problems are pointed out and the research thoughts on cutting mechanism of bone material are put forward in this review.

Key words: bone material, cutting mechanism, mechanical cutting, energy field processing, cutting characteristics

CLC Number:

TG501

WANG Chengyong, CHEN Zhihua, CHEN Huawei, SONG Qinghua, REN Yinghui, SUI Jianbo, SHU Liming, CHEN Bin, ZHENG Lijuan. A Review on Cutting Mechanism for Bone Material[J]. Journal of Mechanical Engineering, 2021, 57(11): 2-32.

References

[1] BECHTOL C O,FERGUNSON A B,LAING P G. Metals and engineering in bone and joint surgery[M]. Michigan:Williams & Wilkins,1959.
[2] SNEATH R. The determination of optimum twist drill shape for bone[M]. Glasgow:Elsevier,1965.
[3] JACOBS C,POPE M,BERRY J,et al. A study of the bone machining process-orthogonal cutting[J]. Journal of Biomechanics,1974,7(2):131-136.
[4] MITSUISHI M,CAO J,BáRTOLO P,et al. Biomanufacturing[J]. CIRP Annals,2013,62(2):585-606.
[5] 李茂华,于国平,周勇. 实用骨科学[M]. 吉林:吉林科学技术出版社,2014. LI Maohua,YU Guoping,ZHOU Yong. Practice of orthopaedics[M]. Jilin:Jilin Science and Technology Press,2014.
[6] 郭守进. 现代临床骨科学[M]. 上海:上海交通大学出版社,2018.GUO Shoujin. Clinical orthpaedics[M]. Shanghai:Shanghai Jiao Tong University Press,2018.
[7] RAUCH F,TRAVERS R,GLORIEUX F H. Intracortical remodeling during human bone development-A histomorphometric study[J]. Bone,2007,40(2):274-280.
[8] RITCHIE R O,BUEHLER M J,HANSMA P. Plasticity and toughness in bone[J]. Physics Today,2009,62(6):41-47.
[9] SALGUERO L,SAADAT F,SEVOSTIANOV I. Micromechanical modeling of elastic properties of cortical bone accounting for anisotropy of dense tissue[J]. Journal of Biomechanics,2014,47(13):3279-3287.
[10] ZIMMERMANN E A,RITCHIE R O. Bone as a structural material[J]. Advanced Healthcare Materials,2015,4(9):1287-1304.
[11] LAUNEY M E,BUEHLER M J,RITCHIE R O. On the mechanistic origins of toughness in bone[J]. Annual Review of Materials Research,2010,40:25-53.
[12] ZIMMERMANN E A,SCHAIBLE E,BALE H,et al. Age-related changes in the plasticity and toughness of human cortical bone at multiple length scales[J]. Proceedings of the National Academy of Sciences,2011,108(35):14416-14421.
[13] ZIMMERMANN E A,LAUNEY M E,BARTH H D,et al. Mixed-mode fracture of human cortical bone[J]. Biomaterials,2009,30(29):5877-5884.
[14] RITCHIE R O,KINNEY J H,KRUZIC J J,et al. A fracture mechanics and mechanistic approach to the failure of cortical bone[J]. Fatigue Fracture of Engineering Materials Structures,2005,28(4):345-371.
[15] NALLA R K,KRUZIC J J,KINNEY J H,et al. Effect of aging on the toughness of human cortical bone:Evaluation by R-curves[J]. Bone,2004,35(6):1240-1246.
[16] NALLA R K,KINNEY J H,RITCHIE R O. Mechanistic fracture criteria for the failure of human cortical bone[J]. Nature materials,2003,2(3):164-168.
[17] YENI Y N,NORMAN T. Calculation of porosity and osteonal cement line effects on the effective fracture toughness of cortical bone in longitudinal crack growth[J]. Journal of Biomedical Materials Research,2000,51(3):504-509.
[18] BAI W,SHU L,SUN R,et al. Mechanism of material removal in orthogonal cutting of cortical bone[J]. Journal of the Mechanical Behavior of Biomedical Materials,2020,104:103618.
[19] LIAO Z,AXINTE D A. On chip formation mechanism in orthogonal cutting of bone[J]. International Journal of Machine Tools Manufacture,2016,102:41-55.
[20] ZIMMERMANN E A,LAUNEY M E,RITCHIE R O. The significance of crack-resistance curves to the mixed-mode fracture toughness of human cortical bone[J]. Biomaterials,2010,31(20):5297-5305.
[21] KAWASEGI N,SUGIMORI H,MORIMOTO H,et al. Development of cutting tools with microscale and nanoscale textures to improve frictional behavior[J]. Precision Engineering,2009,33(3):248-254.
[22] ORRA K,CHOUDHURY S K. Tribological aspects of various geometrically shaped micro-textures on cutting insert to improve tool life in hard turning process[J]. Journal of Manufacturing Processes,2018,31:502-513.
[23] LIAN Y,CHEN H,MU C. Performance of microtextured tools fabricated by inductively coupled plasma etching in dry cutting tests on medium carbon steel workpieces[J]. International Journal of Precision Engineering Manufacturing-Green Technology,2019,6(2):175-188.
[24] HILLERY M T,SHUAIB I. Temperature effects in the drilling of human and bovine bone[J]. Journal of Materials Processing Technology,1999,92:302-308.
[25] ZHANG L,TAI B L,WANG A C,et al. Mist cooling in neurosurgical bone grinding[J]. CIRP Annals,2013,62(1):367-370.
[26] ENOMOTO T,SHIGETA H,SUGIHARA T,et al. A new surgical grinding wheel for suppressing grinding heat generation in bone resection[J]. CIRP Annals,2014,63(1):305-308.
[27] SEDLIN E D. A rheologic model for cortical bone:a study of the physical properties of human femoral samples[J]. Acta Orthopaedica Scandinavica,1965,36(sup83):1-77.
[28] BONFIELD W. Advances in the fracture mechanics of cortical bone[J]. Journal of Biomechanics,1987,20(11-12):1071-1081.
[29] ZHANG P,CHEN H,ZHANG L,et al. Anti-adhesion effects of liquid-infused textured surfaces on high-temperature stainless steel for soft tissue[J]. Applied Surface Science,2016,385:249-256.
[30] LIU G,ZHANG P,LIU Y,et al. Self-lubricantingslippery surface with wettability gradients for anti-sticking of electrosurgical scalpel[J]. Micromachines,2018, 9(11):591.
[31] HAN Z,FU J,FENG X,et al. Bionic anti-adhesive electrode coupled with maize leaf microstructures and TiO₂ coating[J]. RSC Advances,2017,7(72):45287-45293.
[32] YAO G,ZHANG D,GENG D,et al. Improving anti-adhesion performance of electrosurgical electrode assisted with ultrasonic vibration[J]. Ultrasonics,2018,84:126-133.
[33] WIGGINS K,MALKIN S. Orthogonal machining of bone[J]. Journal of Biomechanical Engineering,1978,100(3):122-130.
[34] KRAUSE W. Orthogonal bone cutting:Saw design and operating characteristics[J]. Journal of Biomechanical Engineering,1987,109(3):263-271.
[35] PLASKOS C,HODGSON A J,CINQUIN P. Modelling and optimization of bone-cutting forces in orthopaedic surgery[C]//International Conference on Medical Image Computing and Computer-Assisted Intervention,2003. Canada. Berlin,Heidelberg,Springer:254-261.
[36] FENG Z,RHO J,HAN S,et al. Orientation and loading condition dependence of fracture toughness in cortical bone[J]. Materials Science Engineering:C,2000,11(1):41-46.
[37] SUGITA N,MITSUISHI M. Specifications for machining the bovine cortical bone in relation to its microstructure[J]. Journal of Biomechanics,2009,42(16):2826-2829.
[38] SUGITA N,OSA T,AOKI R,et al. A new cutting method for bone based on its crack propagation characteristics[J]. CIRP Annals,2009,58(1):113-118.
[39] FELDMANN A,GANSER P,NOLTE L,et al. Orthogonal cutting of cortical bone:Temperature elevation and fracture toughness[J]. International Journal of Machine Tools Manufacture,2017,118:1-11.
[40] YEAGER C,NAZARI A,AROLA D. Machining of cortical bone:surface texture,surface integrity and cutting forces[J]. Machining Science Technology,2008,12(1):100-118.
[41] SUI J,SUGITA N,ISHII K,et al. Force analysis of orthogonal cutting of bovine cortical bone[J]. Machining Science Technology,2013,17(4):637-649.
[42] HUIYU H,CHENGYONG W,YUE Z,et al. Investigating bone chip formation in craniotomy[J]. Proceedings of the Institution of Mechanical Engineers,Part H:Journal of Engineering in Medicine,2017,231(10):959-974.
[43] MALAK S F,ANDERSON I A. Orthogonal cutting of cancellous bone with application to the harvesting of bone autograft[J]. Medical Engineering & Physics,2008,30(6):717-724.
[44] PANDEY R K,TRAUMA. Drilling of bone:A comprehensive review[J]. Journal of Clinical Orthopaedics,2013,4(1):15-30.
[45] CSEKE A,HEINEMANN R. The effects of cutting parameters on cutting forces and heat generation when drilling animal bone and biomechanical test materials[J]. Medical Engineering & Physics,2018,51:24-30.
[46] LIAO Z,AXINTE D A. On monitoring chip formation,penetration depth and cutting malfunctions in bone micro-drilling via acoustic emission[J]. Journal of Materials Processing Technology,2016,229:82-93.
[47] SHU L,LI S,TERASHIMA M,et al. A novel self-centring drill bit design for low-trauma bone drilling[J]. International Journal of Machine Tools Manufacture,2020:103568.
[48] ALAM K,MUHAMMAD R,SHAMSUZZOHA A,et al. Quantitative analysis of force and torque in bone drilling[J]. The Journal of Engineering Research,2017,14(1):39-48.
[49] SORIANO J,IRIARTE L,EGUREN J,et al. Effects of rotational speed and feed rate on temperature rise,feed force and cutting torque when drilling bovine cortical bone[C]//AIP conference proceedings,2012. Cadiz. American Institute of Physics:408-416.
[50] XU L,WANG C,JIANG M,et al. Drilling force and temperature of bone under dry and physiological drilling conditions[J]. Chinese journal of mechanical engineering,2014,27(6):1240-1248.
[51] ZHANG Y,XU L L,WANG C Y,et al. Mechanical and thermal damage in cortical bone drilling in vivo[J]. Proceedings of the Institution of Mechanical Engineers,Part H:Journal of Engineering in Medicine,2019,233(6):621-635.
[52] TSAI M-D,HSIEH M-S,TSAI C-H. Bone drilling haptic interaction for orthopedic surgical simulator[J]. Computers in Biology Medicine,2007,37(12):1709-1718.
[53] LEE J,GOZEN B A,OZDOGANLAR O B. Modeling and experimentation of bone drilling forces[J]. Journal of Biomechanics,2012,45(6):1076-1083.
[54] SUI J,SUGITA N,ISHII K,et al. Mechanistic modeling of bone-drilling process with experimental validation[J]. Journal of Materials Processing Technology,2014,214(4):1018-1026.
[55] MACAVELIA T,GHASEMPOOR A,JANABI-SHARIFI F. Force and torque modelling of drilling simulation for orthopaedic surgery[J]. Computer Methods in Biomechanics Biomedical Engineering,2014,17(12):1285-1294.
[56] ZHANG A,ZHANG S,BIAN C,et al. Modified chip-evacuation force modeling and chip-clogging prediction in drilling of cortical bone[J]. IEEE Access,2019,7:180671-180683.
[57] LUGHMANI W A,BOUAZZA-MAROUF K,ASHCROFT I. Drilling in cortical bone:A finite element model and experimental investigations[J]. Journal of the Mechanical Behavior of Biomedical Materials,2015,42:32-42.
[58] LUGHMANI W A,BOUAZZA-MAROUF K,ASHCROFT I. Finite element modeling and experimentation of bone drilling forces[C]//International Symposium on Dynamic Deformation and Fracture of Advanced Materials,2013. Loughborough. Journal of Physics:Conference Series. IOP:012034.
[59] LEE J,RABIN Y,OZDOGANLAR O B. A new thermal model for bone drilling with applications to orthopaedic surgery[J]. Medical Engineering & Physics,2011,33(10):1234-1244.
[60] BENINGTON I C,BIAGIONI P A,CROSSEY P J,et al. Temperature changes in bovine mandibular bone during implant site preparation:an assessment using infra-red thermography[J]. Journal of Dentistry,1996,24(4):263-267.
[61] DAVIDSON S R,JAMES D F. Drilling in bone:modeling heat generation and temperature distribution[J]. Journal of Biomechanical Engineering,2003,125(3):305-314.
[62] TU Y K,CHEN L W,CIOU J S,et al. Finite element simulations of bone temperature rise during bone drilling based on a bone analog[J]. Journal of Medical Biological Engineering,2013,33(3):269-274.
[63] TU Y K,LU W H,CHEN L W,et al. Thermal contact simulation of drill bit and bone during drilling[C]//20104th International Conference on Bioinformatics and Biomedical Engineering,2010. Chengdu. IEEE:1-4.
[64] TU Y K,CHEN L W,HUANG C C,et al. Finite element simulation of drill bit and bone thermal contact during drilling[C]//20082nd International Conference on Bioinformatics and Biomedical Engineering,2008. Shanghai. IEEE:1268-1271.
[65] CHEN Y C,HSIAO C K,TU Y K,et al. Assessment of heat generation and risk of thermal necrosis during bone burring by means of three-dimensional dynamic elastoplastic finite element modelling[J]. Medical Engineering & Physics,2020,81:1-12.
[66] CHEN Y C,TU Y K,TSAI Y J,et al. Assessment of thermal necrosis risk regions for different bone qualities as a function of drilling parameters[J]. Computer Methods Programs in Biomedicine,2018,162:253-261.
[67] CHEN Y C,TU Y K,ZHUANG J Y,et al. Evaluation of the parameters affecting bone temperature during drilling using a three-dimensional dynamic elastoplastic finite element model[J]. Medical Biological Engineering Computing,2017,55(11):1949-1957.
[68] ALAM K,KHAN M,MUHAMMAD R,et al. In-vitro experimental analysis and numerical study of temperature in bone drilling[J]. Technology Health Care,2015,23(6):775-783.
[69] ALAM K. Experimental and numerical investigation of cracking behavior of cortical bone in cutting[J]. Technology Health Care,2014,22(5):741-750.
[70] ALAM K,GHODSI M,AL-SHABIBI A,et al. Experimental study on the effect of point angle on force and temperature in ultrasonically assisted bone drilling[J]. Journal of Medical Biological Engineering,2018,38(2):236-243.
[71] ALAM K,KHAN M,SILBERSCHMIDT V V. 3D finite-element modelling of drilling cortical bone:Temperature analysis[J]. Journal of Medical and Biological Engineering,2014,34(6):618-623.
[72] FERNANDES M,FONSECA E M,JORGE R N. Influence of bone drilling parameters on the thermal stress distribution[C]//5th International Conference on Integrity-Reliability-Failure IRF2016,2016. Portugal. 517-528.
[73] FERNANDES M,FONSECA E,NATAL R. Assessment of different drill diameter on bone drilling process[J]. Journal of Mechanical Engineering Biomechanics,2017,1(6):135-141.
[74] FERNANDES M G,FONSECA E M,JORGE R N. Thermo-mechanical stresses distribution on bone drilling:Numerical and experimental procedures[J]. Proceedings of the Institution of Mechanical Engineers,Part L:Journal of Materials:Design Applications,2019,233(4):637-646.
[75] LI X,ZHU W,WANG J,et al. Optimization of bone drilling process based on finite element analysis[J]. Applied Thermal Engineering,2016,108:211-220.
[76] SEZEK S,AKSAKAL B,KARACA F. Influence of drill parameters on bone temperature and necrosis:A FEM modelling and in vitro experiments[J]. Computational Materials Science,2012,60:13-18.
[77] MAANI N,FARHANG K,HODAEI M. A model for the prediction of thermal response of bone in surgical drilling[J]. Journal of Thermal Science Engineering Applications,2014,6(4):041005.
[78] SUI J,SUGITA N,MITSUISHI M. Thermal modeling of temperature rise for bone drilling with experimental validation[J]. Journal of Manufacturing Science Engineering,2015,137(6):061008.
[79] FELDMANN A,GAVAGHAN K,STEBINGER M,et al. Real-time prediction of temperature elevation during robotic bone drilling using the torque signal[J]. Annals of Biomedical Engineering,2017,45(9):2088-2097.
[80] FELDMANN A,ANSO J,BELL B,et al. Temperature prediction model for bone drilling based on density distribution and in vivo experiments for minimally invasive robotic cochlear implantation[J]. Annals of Biomedical Engineering,2016,44(5):1576-1586.
[81] AMEWOUI F,LE COZ G,BONNET A-S,et al. An analytical modeling with experimental validation of bone temperature rise in drilling process[J]. Medical Engineering & Physics,2020,84:151-160.
[82] HU Y,YAN Z,LI X,et al. Prediction model of bone drilling temperature based on heat source method in surgical rehabilitation[J]. Procedia CIRP,2020,89:263-269.
[83] SUI J,WANG C,SUGITA N. Experimental study of temperature rise during bone drilling process[J]. Medical Engineering & Physics,2020,78:64-73.
[84] LEE J,OZDOGANLAR O B,RABIN Y. An experimental investigation on thermal exposure during bone drilling[J]. Medical Engineering & Physics,2012,34(10):1510-1520.
[85] PANDEY R K,PANDA S S. Modelling and optimization of temperature in orthopaedic drilling:An in vitro study[J]. Acta of Bioengineering Biomechanics,2014,16(1):107-116.
[86] KUMAR PANDEY R,PANDA S. Predicting temperature in orthopaedic drilling using back propagation neural network[J]. Procedia Engineering,2013,51:676-682.
[87] SINGH G,GAHI A,JAIN V,et al. An investigation on thermal necrosis during bone drilling[J]. International Journal of Machining Machinability of Materials,2016,18(4):341-349.
[88] NOORAZIZI M,IZAMSHAH R,KASIM M,et al. Effect of drill geometry parameter on surface roughness and hole morphology in surgical bone drilling[J]. International Journal of Applied Engineering Research,2017,12(6):981-986.
[89] NOORAZIZI M,IZAMSHAH R,KASIM M. Effects of drill geometry and penetration angle on temperature and holes surfaces for cortical bovine bone:An in vitro study[J]. Procedia Engineering,2017,184:70-77.
[90] PANDEY R K,PANDA S S. Evaluation of delamination in drilling of bone[J]. Medical Engineering Physics,2015,37(7):657-664.
[91] ALAM K,PIYA S,AL-GHAITHI A,et al. Experimental investigation on the effect of drill quality on the performance of bone drilling[J]. Biomedical Engineering/Biomedizinische Technik,2020,65(1):113-120.
[92] SINGH G,JAIN V,GUPTA D,et al. Optimization of process parameters for drilled hole quality characteristics during cortical bone drilling using Taguchi method[J]. Journal of the Mechanical Behavior of Biomedical Materials,2016,62:355-365.
[93] KARACA F,AKSAKAL B,KOM M. Influence of orthopaedic drilling parameters on temperature and histopathology of bovine tibia:An in vitro study[J]. Medical Engineering & Physics,2011,33(10):1221-1227.
[94] BURR D B. Bone,exercise,and stress fractures[J]. Exercise and Sport Sciences Reviews,1997,25:171-194.
[95] AL-ABDULLAH K I A,ABDI H,LIM C P,et al. Force and temperature modelling of bone milling using artificial neural networks[J]. Measurement,2018,116:25-37.
[96] SUGITA N,OSA T,MITSUISHI M. Analysis and estimation of cutting-temperature distribution during end milling in relation to orthopedic surgery[J]. Medical Engineering & Physics,2009,31(1):101-107.
[97] DENIS K,VAN HAM G,VANDER SLOTEN J,et al. Influence of bone milling parameters on the temperature rise,milling forces and surface flatness in view of robot-assisted total knee arthroplasty[C]//International congress series,2001. Elsevier:300-306.
[98] SUGITA N,ISHII K,SUI J,et al. Multi-grooved cutting tool to reduce cutting force and temperature during bone machining[J]. CIRP Annals,2014,63(1):101-104.
[99] CONWARD M,SAMUEL J. Machining characteristics of the haversian and plexiform components of bovine cortical bone[J]. Journal of the Mechanical Behavior of Biomedical Materials,2016,60:525-534.
[100] ARBABTAFTI M,MOGHADDAM M,NAHVI A,et al. Physics-based haptic simulation of bone machining[J]. IEEE Transactions on Haptics,2010,4(1):39-50.
[101] MITSUISHI M,WARISAWA S,SUGITA N. Determination of the machining characteristics of a biomaterial using a machine tool designed for total knee arthroplasty[J]. CIRP Annals,2004,53(1):107-112.
[102] 刘森. 骨铣削过程中切削力和温度的仿真与实验研究[D]. 哈尔滨:哈尔滨工业大学,2014.LIU Sen. Research on simulation and experiment of cutting force and temperature for bone milling[D]. Harbin:Harbin Institute of Technology,2014.
[103] LIAO Z,AXINTE D,GAO D. On modelling of cutting force and temperature in bone milling[J]. Journal of Materials Processing Technology,2019,266:627-638.
[104] CHEN Q S,LIU Y,DONG Q S. Modeling and experimental validation on temperature diffusion mechanism in high-speed bone milling[J]. Journal of Materials Processing Technology,2020,286:116810.
[105] LIAO Z,AXINTE D A,GAO D. A novel cutting tool design to avoid surface damage in bone machining[J]. International Journal of Machine Tools and Manufacture,2017,116:52-59.
[106] DAHOTRE N B,JOSHI S. Machining of bone and hard tissues[M]. Switzerland:Springer,2016.
[107] 杨敏. 医用纳米粒子射流喷雾式冷却生物骨微磨削热力学作用机理与温度场动态模型[D]. 青岛:青岛理工大学,2019.YANG Min. Medical thermodynamic mechanism and temperature field dynamic model of bio-bone micro-grinding with nanoparticle jet spray cooling[D]. Qingdao:Qingdao University of Technology,2019.
[108] 朱铮,胡中伟,张志斌,等. 不同砂轮磨削牛密质骨的磨削力研究[J]. 金刚石与磨料磨具工程,2014(5):13-16.ZHU Zheng,HU Zhongwei,ZHANG Zhibin,et al. Study on grinding force of bovine cortical bone by different grinding wheels[J]. Diamond & Abrasives Engineering,2014(5):13-16.
[109] BABBAR A,JAIN V,GUPTA D. In vivo evaluation of machining forces,torque,and bone quality during skull bone grinding[J]. Proceedings of the Institution of Mechanical Engineers,Part H:Journal of Engineering in Medicine,2020,234(6):626-638.
[109] ZHANG L,ZOU L,WEN D,et al. Investigation of the effect of process parameters on bone grinding performance based on on-line measurement of temperature and force sensors[J]. Sensors,2020,20(11):3325.
[111] 邹磊,文东辉,张丽慧,等. 骨组织磨削力计算模型及实验研究[J]. 中国机械工程,2020,31(24):3016-3023.ZHOU Lei,WEN Donghui,ZHANG Lihui,et al. Computational model and experimental study for bone grinding force[J]. China Mechanical Engineering,2020,31(24):3016-3023.
[112] TIAN H,ZHENG C,WANG C,et al. Modeling and simulation of a single abrasive grain micro-grinding force and temperature of bone[J]. Journal of Biomechanical Science Engineering,2020,15(4):20-00012.
[113] SHAKOURI E,MIRFALLAH P. Infrared thermography of high-speed grinding of bone in skull base neurosurgery[J]. Proceedings of the Institution of Mechanical Engineers,Part H:Journal of Engineering in Medicine,2019,233(6):648-656.
[114] ZHANG L,TAI B L,WANG G,et al. Thermal model to investigate the temperature in bone grinding for skull base neurosurgery[J]. Medical Engineering & Physics,2013,35(10):1391-1398.
[115] SHIH A J,TAI B L,ZHANG L,et al. Prediction of bone grinding temperature in skull base neurosurgery[J]. CIRP Annals,2012,61(1):307-310.
[116] TAI B L,ZHANG L,WANG A C,et al. Temperature prediction in high speed bone grinding using motor PWM signal[J]. Medical Engineering & Physics,2013,35(10):1545-1549.
[117] WANG G,ZHANG L,WANG X,et al. An inverse method to reconstruct the heat flux produced by bone grinding tools[J]. International Journal of Thermal Sciences,2016,101:85-92.
[118] 张丽慧,王广军,陈红,等. 基于导热反问题求解骨磨削过程移动边界热流[J]. 工程热物理学报,2016,37(12):2621-2625.ZHANG Lihui,WANG Guangjun,CHEN Hong,et al. Estimation of moving boundary heat flux during bone gringding based on inverse heat conduction problem[J]. Journal of Engineering Thermophysics,2016,37(12):2621-2625.
[119] 张丽慧. 骨头磨削过程传热及其反问题研究[D]. 重庆:重庆大学,2014.ZHANG Lihui. Research on the heat transfer and its inverse problem for bone grinding process[D]. Chongqing:Chongqing University,2014.
[120] YANG M,LI C,ZHANG Y,et al. Research on microscale skull grinding temperature field under different cooling conditions[J]. Applied Thermal Engineering,2017,126:525-537.