Abstract
Rotary ultrasonic machining or ultrasonic vibration assisted grinding has superior performance in machining hard and brittle materials, such as dental zirconia ceramics. However, there are few reports about cutting force modeling of rotary ultrasonic milling (RUM) for dental ceramics, especially for cutting force model in feed direction. In this study, the theoretical model of cutting force both in axial direction and feed direction is proposed under the assumption that brittle fracture is the primary mechanism of material removal in RUM of dental ceramics. The effective cutting time and material removal volume have been analyzed to develop the cutting force model. Besides, the number of active abrasive particles has been calculated for the first time during the modeling. The effect of overlapping and intersection of fracture zone in peripheral direction on material removal volume has also been considered via the parameters K 1 and K 2. In addition, the relationships between the cutting force and input variables are revealed through the theoretical model. Finally, pilot experiments of RUM on dental zirconia ceramics are conducted to verify the theoretical model. The experimental results are consistent well with the model predictions. Therefore, the theoretical model can be applied to evaluate the cutting force in RUM of dental ceramics.
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Piconi C, Maccauro G (1999) Zirconia as a ceramic biomaterial. Biomaterials 20(1):1–25
Raigrodski AJ (2004) Contemporary materials and technologies for all-ceramic fixed partial dentures: a review of the literature. J Prosthet Dent 92(6):557–562
Gamborena I, Blatz MB (2006) A clinical guidelines to predictable esthetics with zirconium oxide ceramic restorations. Dent Technol 29:11–23
Manicone PF, Iommetti PR, Raffaelli L (2007) An overview of zirconia ceramics: Basic properties and clinical applications. J Dent 35(11):819–826
Kosovka OD, Vesna M, Slobodan D, Dragan G (2013) Dilemmas in zirconia bonding: a review. Srp Arh Celok Lek 141(5–6):395–401
Blue DS, Griggs JA, Woody RD, Miller BH (2003) Effects of bur abrasive particle size and abutment composition on preparation of ceramic implant abutments. J Prosthet Dent 90(3):247–254
Guazzato M, Albakry M, Quach L, Swain MV (2005) Influence of surface and heat treatments on the flexural strength of a glass-infiltrated alumina/zirconia-reinforced dental ceramic. Dent Mater 21(5):454–463
Curtis AR, Wright AJ, Fleming GJP (2006) The influence of surface modification techniques on the performance of a Y-TZP dental ceramic. J Dent 34(3):195–206
Denry I, Kelly JR (2008) State of the art of zirconia for dental applications. Dent Mater 24(3):299–307
Pei ZJ, Ferreira PM (1999) An experimental investigation of rotary ultrasonic face milling. Int J Mach Tool Manuf 39(8):1327–1344
Li ZC, Jiao Y, Deines TW, Pei ZJ, Treadwell C (2005) Rotary ultrasonic machining of ceramic matrix composites: Feasibility study and designed experiments. Int J Mach Tool Manuf 45(12–13):1402–1411
Churi NJ, Pei ZJ, Treadwell C (2006) Rotary ultrasonic machining of titanium alloy: Effects of machining variables. Mach Sci Technol 10(3):301–321
Churi NJ, Pei ZJ, Shorter DC, Treadwell C (2009) Rotary ultrasonic machining of dental ceramics. Int J Mach Mach Mater 6(3–4):270–284
Zhang CL, Feng PF, Zhang Jf, Wu ZJ, Yu DW (2012) Investigation into the rotary ultrasonic face milling of K9 glass with mechanism study of material removal. Int J Manuf Technol Manag 25 (4):248–266
Lauwers B, Bleicher F, Ten H, Vanparys M, Bernreiter J, Jacobs T, Loenders J (2010) Investigation of the process-material interaction in ultrasonic assisted grinding of ZrO2 based ceramic materials. In: 4th CIRP international conference high perform cut, vol 2, pp 59–64
Bhaduri D, Soo SL, Novovic D, Aspinwall DK, Harden P, Waterhouse C, Bohr S, Mathieson AC, Lucas M (2013) Ultrasonic assisted creep feed grinding of Inconel 718. In: 17th CIRP conf electro phys chem mach (ISEM), vol 6, pp 615–620
Cong WL, Pei ZJ, Deines TW, Liu DF, Treadwell C (2013) Rotary ultrasonic machining of CFRP/Ti stacks using variable feedrate. Compos: Part B Eng 52:303–310
Pei ZJ, Prabhakar D, Ferreira PM, Haselkorn M (1995) A mechanistic approach to the prediction of material removal rates in rotary ultrasonic machining. J Eng Ind 117:142–151
Pei ZJ, Ferreira PM, Kapoor SG, Haselkorn M (1995) Rotary ultrasonic machining for face milling of ceramics. Int J Mach Tools Manuf 35(7):1033–1046
Lv DX, Huang Y, Tang YJ, Wang HX (2013) Relationship between subsurface damage and surface roughness of glass BK7 in rotary ultrasonic machining and conventional grinding processes. Int J Adv Manuf Technol 67(1–4):613–622
Vicario I, Gonzalo O, Bengoetxea I (2007) Rotary ultrasonic machining of aluminum oxide ceramics: Designed experiments. Int J Mach Mach Mater 2(2):233–243
Lauwers B (2011) Surface integrity in hybrid machining processes. Procedia Eng 19:241–251
Brecher C, Wenzel C, Schug R, Weber A, Hannig S (2010) New systematic and time saving procedure to design cup grinding wheels for the application of ultrasonic assisted grinding. Int J Adv Manuf Technol 47(1–4):153–159
Lv DX, Huang YH, Wang HX, Tang YJ, Wu XC (2013) Improvement effects of vibration on cutting force in rotary ultrasonic machining of BK7 glass. J Mater Process Technol 213(9):1548–1557
Suzuki K, Uematsu T, Iwai M, Ninomiya S, Sano S, Nakagawa T (2007) A new complex grinding method for ceramic materials combined with ultrasonic vibration and electro discharge machining. Key Eng Mater 329:439–444
Li ZC, Cai LW, Pei ZJ, Treadwell C (2006) Edge-chipping reduction in rotary ultrasonic machining of ceramics: Finite element analysis and experimental verification. Int J Mach Tools Manuf 46(12–13):1469–1477
Pei ZJ, Ferreira PM (1998) Modeling of ductile-mode material removal in rotary ultrasonic machining. Int J Mach Tools Manuf 38(10–11):1399–1418
Lv DX, Wang HX, Tang YJ, Huang YH, Li ZP (2013) Influences of vibration on surface formation in rotary ultrasonic machining of glass BK7. Precis Eng 37(4):839–848
Hu P, Zhang JM, Pei ZJ, Treadwell C (2002) Modeling of material removal rate in rotary ultrasonic machining: Designed experiments. J Mater Process Technol 129(1–3):339–344
Zeng WM, Li ZC, Pei ZJ, Treadwell C (2005) Experimental observation of tool wear in rotary ultrasonic machining of advanced ceramics. Int J Mach Tools Manuf 45(12–13):1468–1473
Qin N, Pei ZJ, Treadwell C, Guo DM (2009) Physics-based predictive cutting force model in ultrasonic vibration-assisted grinding for titanium drilling. J Manuf Sci Eng ASME 131:111–119
Wu JQ, Cong WL, Williams RE, Pei ZJ (2011) Dynamic process modeling for rotary ultrasonic machining of alumina. J Manuf Sci Eng ASME 133:041012–1-5
Zhao CY, Gong H, Fang FZ, Li ZJ (2013) Experimental study on the cutting force difference between rotary ultrasonic machining and conventional diamond grinding of K9 glass. Mach Sci Technol 17(1):129–144
Liu DF, Cong WL, Pei ZJ, Tang YJ (2012) A cutting force model for rotary ultrasonic machining of brittle materials. Int J Mach Tools Manuf 52(1):77–84
Bertsche E, Ehmann K, Malukhin K (2013) An analytical model of rotary ultrasonic milling. Int J Adv Manuf Technol 65(9–12):1705–1720
Ahmed Y, Cong WL, Stanco MR, Xu ZG, Pei ZJ, Treadwell C, Zhu YL, Li ZC (2012) Rotary ultrasonic machining of alumina dental ceramics: a preliminary experimental study on surface and subsurface damages. J Manuf Sci Eng ASME 133:064501–1-5
Zhang CL, Zhang JF, Feng PF (2013) Mathematical model for cutting force in rotary ultrasonic face milling of brittle materials. Int J Adv Manuf Technol 69(1–4):161–170
Pei ZJ, Ferreira PM, Haselkorn M (1995) Plastic flow in rotary ultrasonic machining of ceramics. J Mater Process Technol 48(1–4):771–777
Malkin S, Hwang TW (1996) Grinding mechanisms for ceramics. Ann of CIRP-Manuf Technol 45(2):569–580
Larchuk TJ, Conway JC, Kirchner HP (1985) Crushing as a mechanism of material removal during abrasive machining. J Am Ceram Soc 68(4):209–215
Marshall DB, Lawn BR, Evans AG (1982) Elastic/plastic indentation damage in ceramics: the lateral crack system. J Am Ceram Soc 65(11):561–566
Jiao F (2008) The Theoretical and experimental studies on ultrasonic aided high efficiency lapping with solid abrasive of engineering ceramic. Dissertation, Shanghai Jiao Tong University
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Xiao, X., Zheng, K. & Liao, W. Theoretical model for cutting force in rotary ultrasonic milling of dental zirconia ceramics. Int J Adv Manuf Technol 75, 1263–1277 (2014). https://doi.org/10.1007/s00170-014-6216-6
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DOI: https://doi.org/10.1007/s00170-014-6216-6