Inter J Stomatol ›› 2017, Vol. 44 ›› Issue (5): 538-543.doi: 10.7518/gjkq.2017.05.009
• Orthodontics • Previous Articles Next Articles
Wang Yaojun, Yan Bin, Wang Lin.
CLC Number:
| [1] 顾永佳, 龚爱秀, 胡芳, 等. 含矫治器的下牙列及下颌骨三维有限元模型的建立[J]. 口腔医学, 2006, 26(2):121-123. Gu YJ, Gong AX, Hu F, et al. Establishment of three-dimensional finite element model of mandibular den-tition and mandible with incorporated appliances[J]. Stomatology, 2006, 26(2):121-123. [2] Grabber TM, Vanarsdall RL. Orthodontics: current principles and techniques[M]. 5th ed. St. Louis: Mos-by Yearbook, 2012. [3] Hohmann A, Kober C, Young P, et al. Influence of different modeling strategies for the periodontal liga-ment on finite element simulation results[J]. Am J Orthod Dentofacial Orthop, 2011, 139(6):775-783. [4] 朱智敏, 杜传诗, 陈孟涛, 等. 人牙周膜弹性模量的测定[J]. 华西医科大学学报, 1995, 26(2):160-162. Zhu ZM, Du CS, Chen MT, et al. Determination of modulus of elasticity of human periodontal mem-brane[J]. J WCUMS, 1995, 26(2):160-162. [5] Viecilli RF, Budiman A, Burstone CJ. Axes of resis-tance for tooth movement: does the center of resis-tance exist in 3-dimensional space[J]. Am J Orthod Dentofacial Orthop, 2013, 143(2):163-172. [6] Rawlinson A, Elcock C, Cheung A, et al. An in-vitro and in-vivo methodology study of alveolar bone mea-surement using extra-oral radiographic alignment apparatus, Image Pro-Plus software and a subtraction programme[J]. J Dent, 2005, 33(9):781-788. [7] Poppe M, Bourauel C, Jäger A. Determination of the elasticity parameters of the human periodontal liga-ment and the location of the center of resistance of single-rooted teeth a study of autopsy specimens and their conversion into finite element models[J]. J Orofac Orthop, 2002, 63(5):358-370. [8] Dorow C, Krstin N, Sander FG. Experiments to deter-mine the material properties of the periodontal liga-ment[J]. J Orofac Orthop, 2002, 63(2):94-104. [9] 黄辉祥, 汤文成, 吴斌, 等. 基于超弹性模型的牙周膜力学行为数值模拟[J]. 上海交通大学学报, 2014, 48(9):1263-1273. Huang HX, Tang WC, Wu B, et al. Numerical simu-lation of mechanical behaviors of periodontal ligament based on hyperelastic model[J]. J Shanghai Jiao Tong Univ, 2014, 48(9):1263-1273. [10] Natali AN, Pavan PG, Scarpa C. Numerical analysis of tooth mobility: formulation of a non-linear consti-tutive law for the periodontal ligament[J]. Dent Mater, 2004, 20(7):623-629. [11] 黄辉祥, 汤文成, 吴斌, 等. 基于超弹性模型的牙周膜生物力学响应[J]. 东南大学学报(自然科学版), 2013, 43(2):340-344. Huang HX, Tang WC, Wu B, et al. Biomechanical response for periodontal ligament based on hyperela-stic model[J]. J Southeast Univ(Nat Sci Ed), 2013, 43(2):340-344. [12] 魏志刚, 汤文成, 严斌, 等. 基于黏弹性模型的牙周膜生物力学研究[J]. 东南大学学报(自然科学版), 2009, 39(3):484-489. Wei ZG, Tang WC, Yan B, et al. Biomechanical ana-lysis of periodontal ligament based on viscoelastic model[J]. J Southeast Univ(Nat Sci Ed), 2009, 39 (3):484-489. [13] Tanaka E, Inubushi T, Takahashi K, et al. Dynamic shear properties of the porcine molar periodontal ligament[J]. J Biomech, 2007, 40(7):1477-1483. [14] Slomka N, Vardimon AD, Gefen A, et al. Time-related PDL: viscoelastic response during initial orthodontic tooth movement of a tooth with func-tioning interpro-ximal contact—a mathematical model[J]. J Biomech, 2008, 41(9):1871-1877. [15] 冯元桢. 连续介质力学初级教程[M]. 3版. 北京: 清华大学出版社, 2009:147-149. Feng YZ. A first course in continuum mechanics[M]. 3rd ed. Beijing: Tsinghua University Press, 2009:147- 149. [16] Papadopoulou K, Hasan I, Keilig L, et al. Biomecha-nical time dependency of the periodontal ligament: a combined experimental and numerical approach[J]. Eur J Orthod, 2013, 35(6):811-818. [17] Jónsdóttir SH, Giesen EB, Maltha JC. Biomechanical behaviour of the periodontal ligament of the Beagle dog during the first 5 hours of orthodontic force app-lication[J]. Eur J Orthod, 2006, 28(6):547-552. [18] Sanctuary CS, Wiskott HW, Justiz J, et al. In vitro time-dependent response of periodontal ligament to mechanical loading[J]. J Appl Physiol, 2005, 99(6): 2369-2378. [19] Qian L, Todo M, Morita Y, et al. Deformation analysis of the periodontium considering the viscoe-lasticity of the periodontal ligament[J]. Dent Mater, 2009, 25(3):1285-1292. [20] Fill TS, Toogood RW, Major PW, et al. Analytically determined mechanical properties of, and models for the periodontal ligament: critical review of literature [J]. J Biomech, 2012, 45(1):9-16. [21] Shibata T, Botsis J, Bergomi M, et al. Mechanical behavior of bovine periodontal ligament under ten-sion-compression cyclic displacements[J]. Eur J Oral Sci, 2006, 114(1):74-82. [22] Zhurov AI, Limbert G, Aeschlimann DP, et al. A con-stitutive model for the periodontal ligament as a com-pressible transversely isotropic visco-hyperelastic tissue[J]. Comput Methods Biomech Biomed Engin, 2007, 10(3):223-235. [23] Natali AN, Pavan PG, Venturato C, et al. Constitu-tive modeling of the non-linear viscoelasticity of the periodontal ligament[J]. Comput Methods Programs Biomed, 2011, 104(2):193-198. [24] Xia Z, Jiang F, Chen J. Estimation of periodontal ligament’s equivalent mechanical parameters for finite element modeling[J]. Am J Orthod Dentofacial Orthop, 2013, 143(4):486-491. [25] Fill TS, Carey JP, Toogood RW, et al. Experimentally determined mechanical properties of, and models for, the periodontal ligament: critical review of current literature[J]. J Dent Biomech, 2011, 2011:312980. [26] Toms SR, Dakin GJ, Lemons JE, et al. Quasi-linear viscoelastic behavior of the human periodontal liga-ment[J]. J Biomech, 2002, 35(10):1411-1415. [27] Komatsu K, Kanazashi M, Shimada A, et al. Effects of age on the stress-strain and stress-relaxation pro-perties of the rat molar periodontal ligament[J]. Arch Oral Biol, 2004, 49(10):817-824. [28] Pini M, Zysset P, Botsis J, et al. Tensile and com-pressive behaviour of the bovine periodontal liga-ment[J]. J Biomech, 2004, 37(1):111-119. [29] Ashrafi H, Shariyat M. A nanoindentation modeling of viscoelastic creep and relaxation behaviors of ligaments: mechanical characteristics of biological tissues[J]. Biomed Eng(ICBME), 2010, 1:1-5. [30] Dong-Xu L, Hong-Ning W, Chun-Ling W, et al. Modulus of elasticity of human periodontal ligament by optical measurement and numerical simulation[J]. Angle Orthod, 2011, 81(2):229-236. [31] 魏志刚, 汤文成, 严斌, 等. 正畸临床状态下的牙周组织力学响应分析[J]. 工程力学, 2012, 29(9):363- 368. Wei ZG, Tang WC, Yan B, et al. The study on bio-mechanical response of dental tissue in clinical con-dition[J]. Eng Mech, 2012, 29(9):363-368. [32] Brosh T, Porat N, Vardimon AD, et al. Appropria-teness of viscoelastic soft materials as in vitro simu-lators of the periodontal ligament[J]. J Oral Rehabil, 2011, 38(12):929-939. [33] Papadopoulou K, Keilig L, Eliades T, et al. The time-dependent biomechanical behaviour of the perio-dontal ligament—an in vitro experimental study in minipig mandibular two-rooted premolars[J]. Eur J Orthod, 2014, 36(1):9-15. [34] 王年斌, 徐超, 陈新民, 等. 新鲜牛牙周膜不同部位与弹性模量的关系研究[J]. 临床口腔医学杂志, 2011, 27(4):201-203. Wang NB, Xu C, Chen XM, et al. Study of the rela-tionship of the position of periodontal ligaments and the elastic modulus of fresh bovine periodontal liga-ments[J]. J Clin Stomatol, 2011, 27(4):201-203. [35] Komatsu K, Yamazaki Y, Yamaguchi S, et al. Com-parison of biomechanical properties of the incisor periodontal ligament among different species[J]. Anat Rec, 1998, 250(4):408-417. [36] Yoshida N, Koga Y, Peng CL, et al. In vivo measure-ment of the elastic modulus of the human periodontal ligament[J]. Med Eng Phys, 2001, 23(8):567-572. [37] Cronau M, Ihlow D, Kubein-Meesenburg D, et al. Biomechanical features of the periodontium: an ex-perimental pilot study in vivo [J]. Am J Orthod Dento-facial Orthop, 2006, 129(5):599.e513-599.e521. [38] Jones ML, Hickman J, Middleton J, et al. A validated finite element method study of orthodontic tooth movement in the human subject[J]. J Orthod, 2001, 28(1):29-38. [39] Drolshagen M, Keilig L, Hasan I, et al. Development of a novel intraoral measurement device to determine the biomechanical characteristics of the human periodontal ligament[J]. J Biomech, 2011, 44(11): 2136-2143. |