Finite Element Method – An Effective Research Tool for Dentistry

Stress analysis of dental structures has been a topic of interest in recent years with the objective of determination of stresses in the tooth and it's supporting structures and improvement of the mechanical strength of these structures. The purpose of this article is to give an insight of the finite element analysis which has totally overtaken other experimental analysis due to its ability to model even the most complex of geometries with is immensely flexible and adaptable nature. Finite Element Analysis (FEA) is a computer-based numerical technique for calculating the strength and behavior of structures. It can be used to analyze either small or large-scale deflection under loading or applied displacement. However it is extremely expensive and can be used only with the help of an expert engineer who has mastered this technique. Still this methodology of stress analysis has become extremely popular in dentistry as various properties of dental tissues and materials can be just fed into it and with the ease and accuracy the analysis is done is just remarkable.

Finite element method (FEM), Stress distribution, Finite element analysis (FEA)

1. J.N.Reddy. An introduction to the Finite Element method. 3rd Ed, Mc Graw Hill Education, 2005

2. Huebner K.H., Thornton E.A. The Finite Element Method for Engi-neers, Second Edition, John Wiley and Sons, 1982.

3. J.H. Keyak, M.G. Fourkas, J.M. Meager and H.B. Skinner: Validation of an automated method of three-dimensional finite element modelling of bone, J Biomed Eng, 15; 505–509, 1993.

4. Erik G Thompson. Introduction to the Finite Element Method: Theory, Programming and Applications. Wiley & sons, 2005.

5. Chandrupatla T.R., Belegundu A.D. Introduction to finite element engi-neering. 2nd Ed. Prentice Hall of India Pvt., Ltd., New Delhi: 1–7, 209–245 & 412–426, 1997.

6. S.W. Kirkpatrick, J.W. Simons, and T.H. Antoun, “Development and Validation of High Fidelity Vehicle Crash Simulation Models,” Inter-national Journal of Crashworthiness, 602–611, 1998.

7. Caputo A.A, Standlee. Biomechanics in clinical dentistry. Chicago, Quintessence 19–23, 1987.

8. Craig R.G, Powers J.M. Restorative dental materials. 11th ed. St. Louis, Missouri. Mosby, Inc. 110–111, 2002.

9. Pietro Ausielloa,, Sandro Rengoa, Carel L. Davidsonb, David C.Watts, Stress distributions in adhesively cemented ceramic and resin-compos-ite Class II inlay restorations: a 3D-FEA study. Dental Materials, 20: 862–872, 2004.

10. Eto M, Wakabayashi N, Ohyama T. Finite element analysis of deflec-tions in major connectors for maxillary RPDs Int J Prosthodont, 15(5): 433–8, 2002.

11. Eskitascioglu G, Belli S, Kalkan M. Evaluation of two different post core systems using two different methods (fracture strength test and a finite element stress analysis. Journal of Endodontics, 28(9): 629–33, 2002.

12. Kohal RJ, Papavasiliou G, Kamposiora P, Tripodakis A, Strub JR. Three – Dimensional computerized stress analysis of commercially pure Tita-nium and Yttrium – partially stabilized Zirconia implants International Journal of Prosthodontics, 15(2): 189–94, 2002.

13. Ledley R.H, Hung H.K. “Linear model of tooth displacement by applied forces.” J Dent Res, 48: 32–37, 1968.

14. Rees J.S, Jacobsen P.H “Modeling the effects enamel anisotropy with the finite element method” J Oral Rehabil, 22: 451–454, 1995.

15. Toparli M, Gokay N, Aksoy T. “Analysis of a restored maxillary second premolar tooth by three dimensional finite element method. J Oral Rehab, 26: 157–164, 1999.

16. Toparli M, Gokay N, Aksoy T. “An investigation of temperature and stress distribution on a restored maxillary second premolar tooth using a three- dimensional finite element method” J Oral Rehabil, 27: 1077–1081, 2000.

17. Zhang L, Zhou Y, Meng W “A three-dimensional finite element analy-sis of the correlation between lengths and diameters of the implants of fixed bridges with proper stress distribution. Hua Xi Kou Qiang Yi Xue Za Zhi, 18(4): 229–31, 2000.

18. N.Inou, S.Suzuki, K.Maki and S.Ujihashi: An Automated Modeling Method of a Bone Based on the Xray CT Data(Generation of a finite element model by use of Delaunay triangulation) J. Japan Soc. Mech. Eng. SeriesC, 68: 669, 1481–1486, 2002.

19. Ukon S, Moroi H, Okimoto K, Fujita M, Ishikawa M, Terada Y, Satoh H. Influence of different elastic moduli of dowel and core on stress dis-tribution in root. Dent Mater J, 19(1): 50–64, 2000.

20. Cheng R, Zhou XD, Liu Z, Hu T. Development of a finite element analysis model with curved canal and stress analysis. J Endod, 33(6): 727–31, 2007.

21. N. Wakabayashi, M. Ona, T. Suzuki, Y. Igarashi. Nonlinear finite ele-ment analyses: Advances and challenges in dental applications. Journal of Dentistry, 36: 463–471, 2008.

22. Ichim I, Li Q, Loughran J, Swain MV, Kieser J. Restoration of non-car-ious cervical lesions. Part I. Modelling of restorative fracture. Dental Materials, 23: 1553–61, 2007.

23. Ichim IP, Schmidlin PR, Li Q, Kieser JA, Swain MV. Restoration of non-carious cervical lesions. Part II. Restorative material selection to minimize fracture. Dental Materials, 23: 1562–9, 2007.