A three-dimensional finite element model has been developed for the purpose of analyzing the stress distribution in a human mandibular right first molar. The model takes into account the non-symmetric geometry and loading, and the material inhomogeneities of the tooth. Comparisons with existing two-dimensional analyses are given.
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References
1.
Craig, R.G. and Farah, J.W.: Stress Analysis and Design of Single Restorations and Fixed Bridges , Oral Sci Rev10 :45-74,1977.
2.
Mondelli, J. ; Steagall, L.; Ishkiriama , A.; de Lima Navarro , M.F.; and Soares, F.B.: Fracture Strength of Human Teeth with Cavity Preparations, J Prosthet Dent43: 419-422, 1980.
3.
Correa, A.A. and Matson, E.: Quantitative and Qualitative Evaluation of the Stress Occurring in a Silver Amalgam Restoration by the Finite Element Method, Rev Fac Odontol Sao Paulo15:19-26, 1977.
4.
Atmaram, G.H. and Mohammed, H.: Photoelastic Stress Analysis of Dental Implants with Different Root Configurations, NY State Dent J47 :30-33, 1981.
5.
Weinstein, A.M. ; Klawitter, J.J.; Anand , S.C.; and Schuessler , R.: Stress Analysis of Porous Rooted Dental Implants, Implantologist1:104-109, 1977.
6.
MacGregor, A.R.; Miller, T.P.; and Farah, J.W.: Stress Analysis of Mandibular Partial Dentures with Bounded and Free-End Saddles, J Dent8:27-34, 1980.
7.
Wright, K.W. and Yettram, A.L.: Reactive Force Distributions for Teeth When Loaded Singly and When Used as Fixed Partial Denture Abutments, J Prosthet Dent42:411-416, 1979.
8.
Standlee, J.P. ; Caputo, A.A.; Holcomb , J.; and Tal-Bert, K.C.: The Retentive and Stress-Distributing Properties of a Threaded Endodontic Dowel, J Prosthet Dent44 :398-404,1980.
9.
Ruemping, D.R. ; Lund, M.R.; and Schnell, R.J.: Retention of Dowels Subjected to Tensile and Torsional Forces, J Prosthet Dent41:159-162, 1979.
10.
Takahashi, N. ; Kitagami, T.; and Komori, T.: Effects of Pin Hole Position on Stress Distributions and Interpulpal Temperatures in Horizontal Nonparallel Pin Restorations, J Dent Res58:2085-2090, 1979.
11.
Dhuru, V.B.; McLachlan, K.; and Kasloff, Z.: A Photoelastic Study of Stress Concentrations Produced by Retention Pins in Amalgam Restorations, J Dent Res58: 1060-1064, 1979.
12.
Takahashi, N.; Kitagami, T.; and Komori, T.: Behaviour of Teeth Under Various Loading Conditions with Finite Element Method, J Oral Rehabil7: 453-461, 1980.
13.
Widera, G.E. ; Tesk, J.A.; and Privitzer , E.: Interaction Effects Among Cortical Bone, Cancellous Bone, and Periodontal Membrane of Natural Teeth and Implants, J Biomed Mater Res10:613-623, 1976.
14.
Wright, K.W. and Yettram, A.L.: Finite Element Stress Analysis of a Class I Amalgam Restoration Subjected to Setting and Thermal Expansion , J Dent Res57:715-723, 1978.
15.
Derand, T.: Analysis of Stresses in Porcelain Crown, Odont Revy25:1-22, 1974.
16.
Derand, T.: Residual Stresses in Metal-Ceramic Crowns, J Oral Rehabil8:69-74, 1981.
17.
Bell, J.G.: An Elementary Study of Deformation of Molar Teeth During Amalgam Restorative Procedures, Aust Dent J22:177-181, 1977.
18.
Neumann, H.H. and DiSalvo, N.A.: Compression of Teeth Under the Load of Chewing, J Dent Res36:286-290, 1957.
19.
Lehamn, M.I. and Meyer, M.I.: Relationship of Dental Cavities and Stress Concentrations in Teeth as Revealed by Photoelastic Tests, J Dent Res45:1706-1714, 1966 .
20.
Goss, B.A.; Koenig, H.A.; Bowley, W.W.; and Bur-Stone, C.J.: A Finite Element Analysis of Stress in Human Teeth, Vol. 1, Pro Sym App Comp Meth Eng UCLA, Welford, L. Carter, Jr., Ed., Los Angeles, CA: University of Southern California, Department of Civil Engineering, 1977, pp. 487-495.
21.
Bathe, K.J. and Wilson, E.L.: Numerical Methods in Finite Element Analysis, Englewood Cliffs, NJ: Prentice-Hall, Inc., 1971.
22.
Yettram, A.L. ; Wright, K.W.H.; and Pickard , W.M.: Finite Element Stress Analysis of Crowns of Normal and Restored Teeth, J Dent Res55:1004-1011, 1976.
23.
Selna, L.G. ; Shillingburg, H.T., Jr.; and Kerr , P.A.: Finite Element Analysis of Dental Structures-Axisymmetric and Plane Stress Idealizations , J Biomed Res9:237-252, 1975.
24.
Atmaram, G.H. and Mohammed, H.: Estimation of Physiologic Stresses with a Natural Tooth Considering Fibrous PDL Structure, JDent Res60:873-877, 1981.
25.
Farah, J.W. and Craig, R.G.: Stress Analysis of Three Marginal Configurations of Full Posterior Crowns by Three-dimensional Photoelasticity , J Dent Res53:1219-1225, 1974 .
26.
Frederiksen, G.O.S.: Den Kliniske Gjennomsnittanns Ytre og Indre Storrelsesforhold, Oslo, Norway: Universitetsforlaget, Universitetet, 1972.
27.
Farah, J.W. and Craig, R.G.: Finite-Element Stress Analysis of a Restored Axisymmetric First Molar, J Dent Res53 :859-866, 1974.
28.
Thresher, R.W. and Saito, G.E.: The Stress Analysis of Human Teeth, J Biomech6:443-449, 1973.
29.
Hirano, S. and Hirasawa, T.: Biting Pressure Measured with Pressure Measuring Sheet, Shika Rikogaku Zasshi21: 194-200, 1980.
30.
Van Steenberghe, D. and De Vries , J.H.: The Development of a Maximal Clenching Force Between Two Antagonistic Teeth, J Periodont Res13:91-97, 1978.
31.
Sampath, S.G. : Technical Manual for Program WHEEL, Battelle Report to Track Train Dynamics, Assoc Am Railroads, March, 1978.