选择性激光熔化打印可摘局部义齿圆环形卡环固位力的有限元分析

doi:10.19723/j.issn.1671-167X.2022.01.017

北京大学学报（医学版） ›› 2022, Vol. 54 ›› Issue (1): 105-112. doi: 10.19723/j.issn.1671-167X.2022.01.017

选择性激光熔化打印可摘局部义齿圆环形卡环固位力的有限元分析

马珂楠^1,²,陈虎²,沈妍汝²,周永胜³,王勇²,孙玉春^1,^2,^△()

1.北京大学医学部医学技术研究院,北京 100191
2.北京大学口腔医学院·口腔医院口腔医学数字化研究中心,口腔修复教研室,北京 100081
3.北京大学口腔医学院·口腔医院口腔修复科,国家口腔医学中心,国家口腔疾病临床医学研究中心,口腔数字化医疗技术和材料国家工程实验室,口腔数字医学北京市重点实验室,国家卫生健康委员会口腔医学计算机应用工程技术研究中心,国家药品监督管理局口腔材料重点实验室,北京 100081

收稿日期:2021-09-20 出版日期:2022-02-18 发布日期:2022-02-21
通讯作者: 孙玉春 E-mail:kqsyc@bjmu.edu.cn
基金资助:
国家重点研发计划项目(2019YFB1706904)(2019YFB1706904);国家自然科学基金(51705006);首都科技领军人才培养工程(Z191100006119022);北京大学口腔医院新技术新疗法项目(PKUSSNCT-19A08);口腔疾病防治与新材料山西省重点实验室开放基金(KF2020-04);北京大学百度基金(2019BD021)

Finite element analyses of retention of removable partial denture circumferential clasps manufactured by selective laser melting

MA Ke-nan^1,²,CHEN Hu²,SHEN Yan-ru²,ZHOU Yong-sheng³,WANG Yong²,SUN Yu-chun^1,^2,^△()

1. Institute of Medical Technology, Peking University Health Science Center, Beijing 100191
2. Center of Digital Dentistry, Faculty of Prosthodontics, Peking University School and Hospital of Stomatology, Beijing 100081, China
3. Department of Prosthodontics, Peking University School and Hospital of Stomatology & National Center of Stomatology & National Clinical Research Center for Oral Diseases & National Engineering Laboratory for Digital and Material Technology of Stomatology & Beijing Key Laboratory of Digital Stomatology & NHC Research Center of Engineering and Technology for Computerized Dentistry & NMPA Key Laboratory for Dental Materials, Beijing 100081, China

Received:2021-09-20 Online:2022-02-18 Published:2022-02-21
Contact: Yu-chun SUN E-mail:kqsyc@bjmu.edu.cn
Supported by:
National Key Research and Development Program of China(2019YFB1706904);National Natural Science Foundation of China(51705006);Capital’s Training Project for Science and Technology Leading Talents(Z191100006119022);Program for New Clinical Techniques and Therapies of Peking University School and Hospital of Stomatology(PKUSSNCT-19A08);Open Fund of Shanxi Province Key Laboratory of Oral Diseases Prevention and New Materials(KF2020-04);PKU-Baidu Fund(2019BD021)

摘要/Abstract

摘要：

目的: 通过有限元分析对比评价不同设计的选择性激光熔化(selective laser melting, SLM)打印钴铬、纯钛、钛合金(Ti-6Al-4V)可摘局部义齿圆环形卡环的固位力,并分析卡环在脱位过程中的应力分布。方法: 设计A(体部宽度/厚度为1.9 mm/1.1 mm,卡环臂聚合度为0.8)和B (尺寸A的1.2倍)两种圆环形卡环尺寸,再针对上述尺寸分别设计进入0.25 mm(A1,B1)和0.50 mm(A2,B2)两种倒凹深度,建立上述4种形态的卡环和基牙的有限元模型,将测量得到的SLM金属(钴铬、纯钛、钛合金)的密度和弹性模量赋予卡环,将釉质的密度、弹性模量、泊松(Poisson)比赋予基牙。设置卡环臂尺寸为A且进入0.25 mm倒凹的铸造钴铬合金卡环为对照组(C), 并在有限元模型中赋予铸造钴铬合金的密度和弹性模量。所有金属的泊松比设定为0.33。在有限元模型中,沿脱位方向对卡环施加5 N的初始载荷, 计算卡环沿脱位方向的最大位移,若卡环没有完全脱位,则每次在卡环上重新施加比上一次多5 N的载荷,直至卡环能够完全脱位,从而得出不同组卡环的固位力区间。经过上述有限元模型测试,筛选出与对照组卡环固位力区间相同的SLM金属卡环,进一步进行实体的就位/脱位实验验证,并通过有限元分析其von Mises应力分布。结果: 有限元分析发现B1、B2形态的SLM金属(钴铬、纯钛、钛合金)卡环,A2形态的SLM钴铬卡环的固位力均大于对照组卡环。A1形态的SLM纯钛和钛合金卡环的固位力小于对照组卡环。A1形态的SLM钴铬卡环、A2形态的SLM纯钛和钛合金卡环的固位力与对照组卡环相当(15~20 N), 进一步的实体测试表明,这3组SLM金属卡环固位力分别为(21.57±5.41) N、(19.75±4.47) N、(19.32±2.04) N,差异无统计学意义(P>0.05),这3组卡环中,除SLM钛合金卡环外,SLM钴铬和纯钛卡环的最大von Mises应力均超过各自的屈服强度。结论: 对于SLM工艺加工制作的卡环,卡环臂尺寸和进入倒凹深度均相同的钴铬卡环的固位力大于纯钛和钛合金卡环,可通过调整进入倒凹深度和卡环臂尺寸来调整SLM金属卡环的固位力。考虑到义齿在患者口内的长期稳定使用,如采用SLM工艺加工卡环,建议设计卡环臂尺寸为A,进入倒凹量为0.50 mm,并采用钛合金材料制作。

关键词: 设计参数, 选择性激光熔化, 圆环形卡环, 固位, 口腔修复体, 有限元分析

Abstract:

Objective: To compare the retentions of different designs of cobalt-chromium (Co-Cr), pure titanium (CP Ti), and titanium alloy (Ti-6Al-4V) removable partial denture (RPD) circumferential clasps manufactured by selective laser melting (SLM) and to analyze the stress distribution of these clasps during the removal from abutment teeth. Methods: Clasps with clasp arm size A (1.9 mm width/1.1 mm thickness at the body and 0.8-taper) or B (1.2 times A) and 0.25 mm or 0.50 mm undercut engagement were modeled on a prepared first premolar die, named as designs A1, A2, A3, and A4, respectively. The density and elastic modulus of SLM-built Co-Cr, CP Ti, and Ti-6Al-4V were measured and given to different groups of clasps. The density, elastic modulus, and Poisson’s ratio of enamel were given to the die. The control group was the cast Co-Cr clasp with design A1, to which the density and elastic modulus of cast Co-Cr alloy were given. The Poisson’s ratio of all metals was 0.33. The initial 5 N dislodging force was applied, and the maximum displacement of the clasp along the insertion path was computed. The load was reapplied with an increment of 5 N than in the last simulation until the clasp was completely dislodged. The retentive force range of different groups of clasps was obtained. The retentive forces of the SLM-built Co-Cr, CP Ti, and Ti-6Al-4V clasps with equivalent computed retentive force range to the control group were validated through the insertion/removal experiment. The von Mises stress distributions of these three groups of SLM-built clasps under 15 N loads were analyzed. Results: SLM-built Co-Cr, CP Ti, and Ti-6Al-4V clasps with designs B1 or B2, and Co-Cr clasps with design A2 had higher retentive forces than those of the control group. SLM-built CP Ti and Ti-6Al-4V clasps with design A1 had lower retentive forces than those of the control group. SLM-built Co-Cr clasp with design A1 and SLM-built CP Ti and Ti-6Al-4V clasps with design A2 had equivalent retentive forces to those of the control group. The insertion/removal experiment showed that the measured retentive forces of these three groups of SLM-built clasps were (21.57±5.41) N, (19.75±4.47) N, and (19.32±2.04) N, respectively. No statistically significant measured retentive force difference was found among these three groups of SLM-built clasps (P>0.05). The maximum von Mises stress of these three groups of SLM-built clasps exceeded their responding yield strength except for the Ti-6Al-4V one. Conclusion: SLM-built Co-Cr circumferential clasps had higher retention than CP Ti and Ti-6Al-4V ones with the same clasp arm size and undercut engagement. The retention of SLM-built circumferential clasps could be adjusted by changing the undercut engagement and clasp arm size. If SLM-built circumferential clasps are used in clinical practice, the Ti-6Al-4V clasp with clasp arm size A and 0.50 mm undercut engagement is recommended considering the long-term use of RPD in the patient’s mouth.

Key words: Design parameters, Selective laser melting, Circumferential clasp, Retention, dental prosthesis, Finite element analyses

中图分类号:

R783

马珂楠,陈虎,沈妍汝,周永胜,王勇,孙玉春. 选择性激光熔化打印可摘局部义齿圆环形卡环固位力的有限元分析[J]. 北京大学学报（医学版）, 2022, 54(1): 105-112.

MA Ke-nan,CHEN Hu,SHEN Yan-ru,ZHOU Yong-sheng,WANG Yong,SUN Yu-chun. Finite element analyses of retention of removable partial denture circumferential clasps manufactured by selective laser melting[J]. Journal of Peking University (Health Sciences), 2022, 54(1): 105-112.

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参考文献 19

[1]	Chen H, Li H, Zhao Y, et al. Adaptation of removable partial denture frameworks fabricated by selective laser melting[J]. J Prosthet Dent, 2019, 122(3):316-324. doi: S0022-3913(18)31162-4 pmid: 30922559
[2]	Soltanzadeh P, Suprono MS, Kattadiyil MT, et al. An in vitro investigation of accuracy and fit of conventional and CAD/CAM removable partial denture frameworks[J]. J Prosthodont, 2019, 28(5):547-555. doi: 10.1111/jopr.12997 pmid: 30407685
[3]	Tasaka A, Shimizu T, Kato Y, et al. Accuracy of removable partial denture framework fabricated by casting with a 3D printed pattern and selective laser sintering[J]. J Prosthodont Res, 2020, 64(2):224-230. doi: 10.1016/j.jpor.2019.07.009
[4]	刘一帆, 王伟娜, 于海, 等. 选择性激光熔覆(SLM)钛合金可摘局部义齿支架的适合性研究[J]. 实用口腔医学杂志, 2017, 33(3):302-305.
[5]	刘一帆, 于海, 王伟娜, 等. 选区激光熔化制作可摘局部义齿钛合金支架成形质量初探[J]. 中华口腔医学杂志, 2017, 52(6):351-354.
[6]	Reddy JC, Chintapatla SB, Srikakula NK, et al. Comparison of retention of clasps made of different materials using three-dimensional finite element analysis[J]. J Clin Diagn Res, 2016, 10(5):13-16.
[7]	Xie W, Zheng M, Wang J, et al. The effect of build orientation on the microstructure and properties of selective laser melting Ti-6Al-4V for removable partial denture clasps[J]. J Prosthet Dent, 2020, 123(1):163-172. doi: 10.1016/j.prosdent.2018.12.007
[8]	Tribst JPM, de Oliveria Dal Piva AM, Borges ALS, et al. Effect of different materials and undercut on the removal force and stress distribution in circumferential clasps during direct retainer action in removable partial dentures[J]. Dent Mater, 2020, 36(2):179-186. doi: 10.1016/j.dental.2019.11.022
[9]	ISO 22674: 2016(E), Dentistry-Metallic materials for fixed and removable restorations and appliances[S]. 北京: 中国标准出版社, 2016: 10.
[10]	YY/T 1702-2020, 牙科学增材制造口腔固定和活动修复用选区熔化金属材料[S]. 北京: 中国标准出版社, 2020: 7.
[11]	Alsheghri AA, Alageel O, Caron E, et al. An analytical model to design circumferential clasps for laser-sintered removable partial dentures[J]. Dent Mater, 2018, 34(10):1474-1482. doi: S0109-5641(17)30763-7 pmid: 29937332
[12]	Mahmoud AAA, Wakabayashi N, Takahashi H. Prediction of permanent deformation in cast clasps for denture prostheses using a validated nonlinear finite element model[J]. Dent Mater, 2007, 23(3):317-324. pmid: 16545447
[13]	Mahmoud A. Pre-overloading to extend fatigue life of cast clasps[J]. J Dent Res, 2007, 86(9):868-872. pmid: 17720857
[14]	Sato Y, Abe Y, Yuasa Y, et al. Effect of friction coefficient on Akers clasp retention[J]. J Prosthet Dent, 1997, 78(1):22-27. pmid: 9237142
[15]	Chen X, Mao B, Zhu Z, et al. A three-dimensional finite element analysis of mechanical function for 4 removable partial denture designs with 3 framework materials: Co-Cr, Ti-6Al-4V alloy and PEEK[J]. Sci Rep, 2019, 9(1):13975. doi: 10.1038/s41598-019-50363-1 pmid: 31562391
[16]	Kajima Y, Takaichi A, Nakamoto T, et al. Fatigue strength of Co-Cr-Mo alloy clasps prepared by selective laser melting[J]. J Mech Behav Biomed Mater, 2016, 59:446-458. doi: S1751-6161(16)30005-4 pmid: 26974490
[17]	Yager S, Ma J, Ozcan H, et al. Mechanical properties and microstructure of removable partial denture clasps manufactured using selective laser melting[J]. Addit Manuf, 2015, 8:117-123.
[18]	Takahashi K, Torri M, Nakata T, et al. Fitness accuracy and retentive forces of additive manufactured titanium clasp[J]. J Prosthodont Res, 2020, 64(4):468-477. doi: S1883-1958(19)30581-X pmid: 32063534
[19]	Mourshed B, Qaed N, Al-Shamiri H, et al. The effect of environment (dry and natural saliva) on clasp retention: In vitro study: Part Ⅰ[J]. Eur J Dent, 2017, 11(3):352-356. doi: 10.4103/ejd.ejd_158_17 pmid: 28932146

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Metal	Laser power output/W	Scan speed/ (mm/s)	Hatch space/ mm	Laser beam diameter/ mm	Layer thickness/mm	Annealing temperature/℃
Co-Cr	120	800	0.085	0.065	0.03	1 190
CP Ti	120	1 000	0.080	0.065	0.03	650
Ti-6Al-4V	135	800	0.085	0.065	0.03	850

Materials	Density/(g/cm)	Elastic modulus/GPa	Poisson’s ratio
Cast Co-Cr	7.6	218	0.33
SLM Co-Cr	8.7	235	0.33
SLM CP Ti	4.4	122	0.33
SLM Ti-6Al-4V	4.5	113	0.33
Enamel	3.0	84	0.33

Design	Nodes	Elements
A1	663 384	474 065
A2	666 536	476 126
B1	682 203	487 173
B2	683 390	488 282

SLM metals	Build direction	Elastic modulus/GPa, $\bar{x} \pm s_{\bar{x}}$	P value	R_p0.2/MPa, $\bar{x} \pm s_{\bar{x}}$	P value
Co-Cr	Horizontally	223±45	0.187	727±23	<0.001
	Vertically	246±37		691±22
CP Ti	Horizontally	129±14	0.877	608±20	0.024
	Vertically	122±12		590±18
Ti-6Al-4V	Horizontally	111±6	0.052	997±45	<0.001
	Vertically	115±3		1 087±9

SLM metals	Build direction	Tensile Strength/MPa, $\bar{x} \pm s_{\bar{x}}$	P value	Elongation after fracture/%, $\bar{x} \pm s_{\bar{x}}$	P value
Co-Cr	Horizontally	1 046±73	0.229	2.8±1.2	<0.001
	Vertically	1 076±38		6.4±1.4
CP Ti	Horizontally	685±21	0.010	24.3±4.9	0.061
	Vertically	664±16		27.3±1.9
Ti-6Al-4V	Horizontally	1 007±44	<0.001	2.2±0.7	<0.001
	Vertically	1 107±11		6.8±1.2

选择性激光熔化打印可摘局部义齿圆环形卡环固位力的有限元分析

Finite element analyses of retention of removable partial denture circumferential clasps manufactured by selective laser melting

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Metal	Chemical element
Co-Cr	Co, 62%-66%; Cr, 23%-27%; Mo, 4%-6%; W, 4%-6%
CP Ti	Ti≥99.71%
Ti-6Al-4V	Ti≥87.76%; Al, 5.50%-6.75%; V, 3.50%-4.50%

Metal	Design	Retentive force range/N
Cast Co-Cr	A1	15-20
SLM Co-Cr	A1	15-20
	A2	40-45
	B1	55-60
	B2	75-80
SLM CP Ti	A1	5-10
	A2	15-20
	B1	30-35
	B2	30-35
SLM Ti-6Al-4V	A1	5-10
	A2	15-20
	B1	30-35
	B2	30-35

SLM metal	Design	Retention/N		Max von Mises stress/MPa
SLM metal	Design	Experiment, $\bar{x} \pm s_{\bar{x}}$	Finite element analysis	Max von Mises stress/MPa
Co-Cr	A1	21.57±5.41	15-20	803.78
CP Ti	A2	19.75±4.47	15-20	872.37
Ti-6Al-4V	A2	19.32±2.04	15-20	890.72

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