Optimum Gradation Direction for a Functionally Graded Endodontic Prefabricated Parallel Post: A Finite Element Method

Abstract:

The main purpose of the present work is to determine the optimum gradation direction of an endodontic prefabricated parallel post (EPPP) made of functionally graded material (FGM). To determine the optimum gradation direction of an EPPP made of FGM, the finite element method (FEM) is used. After that, the optimization technique was adopted in order to determine the optimum material gradient for the functionally graded endodontic prefabricated parallel post (FGEPPP). Simulation results indicated that, the optimum gradation direction for the FGEPPP is from up to down, and can be described by using a modified sigmoid function. The effect of varying of the material gradient indexes on the performance of the (FGEPPP) is investigated. Also, stress distributions in all of FGEPPP cases and in homogeneous EPPP case are investigated. The current investigation shows that, the use of the FGM improves the performance of an EPPP.

• Periodical: Journal of Biomimetics, Biomaterials and Biomedical Engineering (Volume 24)
• Pages: 56-69
• DOI: https://doi.org/10.4028/www.scientific.net/JBBBE.24.56
• Online since: July 2015
• Authors: Wasim M.K. Helal*, Dong Yan Shi
• Keywords: Endodontic Prefabricated Post, Finite Element Analysis (FEA), Functionally Grade Material (FGM), Gradation, Optimization

References

[1] Robbins JW, Guidelines for the restoration of endodontically treated teeth, J Am Dent Assoc. 120 (1990) 558-566.

[2] Goodacre CJ and Spolnik K J, The prosthodontic management of endodontically treated teeth, J Prosthodont. 2 (1994) 243-250.

[3] T. Hirano and T. Yamada, Multi-paradigm expert system architecture based upon the inverse design concept, in Proceedings of the International Workshop on Artificial Intelligence for Industrial Applications, Hitachi, Japan, (1988) p.25–27.

DOI: 10.1109/aiia.1988.13301

[4] M. Niino and S. Maeda, Recent development status of functionally gradient materials, ISIJ International. 30(9) (1990) 699-703.

DOI: 10.2355/isijinternational.30.699

[5] M. Yamanoushi, M. Koizumi, T. Hiraii, and I. Shiota, Eds., Proceedings of the 1st International Symposium on Functionally Gradient Materials, Sendai, Japan, (1990).

[6] M. Koizumi, The concept of FGM. Ceramic transactions, Functionally Gradient Materials. 34 (1993) 3-10.

[7] Chung, Y.L., and Chi, S.H., 2001, The residual stress of functionally graded materials, Journal of the Chinese Institute of Civil and Hydraulic Engineering. 13(2001)1-9.

[8] Chi, S.H., and Chung, Y.L., Cracking in sigmoid functionally graded coating, Journal of Mechanics, 18 (2002) 41-53.

[9] Wasim M.K. Helal, and D.Y. Shi, Indian Journal of Materials Science. 2014 (2014)7 P.

[10] Standlee JP, Caputo AA, and Hanson EC, Retention of endodontic dowels: effects of cement, dowel length, diameter, and design, J Prosthet Dent. 39 (1978) 401-405.

DOI: 10.1016/s0022-3913(78)80156-5

[11] Felton DA, Webb EL, Kanoy BE, and Dugoni J, Threaded endodontic dowels: effect of post design on incidence of root fracture, J Prosthet Dent. 65 (1991) 179-87.

DOI: 10.1016/0022-3913(91)90159-t

[12] Johnson JK, and Sakamura JS, Dowel form and tensile force, J Prosthet Dent. 40 (1978) 645-649.

[13] Wasim M.K. Helal, and Dongyan, Shi, Analysis of functionally graded rectangular plate by ANSYS, Key Engineering Materials. 572 (2014) 505-508.

DOI: 10.4028/www.scientific.net/kem.572.505

[14] ANSYS User's Manual, Version 12. 1.

[15] M. Yamanoushi and M. Koizumi, Functionally gradient materials, in Proceedings of the 1st International Symposium on Functionally Graded Materials, Sendai, Japan, (1991).

[16] Y. Fukui, Fundamental investigation of functionally gradient material manufacturing system using centrifugal force, JSME International Journal. 34 (1) (1991) 144-148.

DOI: 10.1299/jsmec1988.34.144

[17] F. Delale and F. Erdogan, The crack problem for a nonhomogeneous plane, ASME Journal of Applied Mechanics. 50 (3), (1983) 609-614.

DOI: 10.1115/1.3167098

[18] Joshi S, Mukherjee A, Kheur M, and Mehta A, Mechanical performance of endodontically treated teeth. Finite Elem Anal Des, Dent Mater J. 37 ( 2001) 587-601.

DOI: 10.1016/s0168-874x(00)00059-7

[19] Genovese K, Lamberti L, and Pappalettere C, Finite element analysis of a new customized composite post system for endodontically treated teeth, J Biomech. 38 (2005) 2375-2389.

DOI: 10.1016/j.jbiomech.2004.10.009

[20] T. Fuchiyama, N. Noda, T. Tsuji, and Y. Obata, Analysis of thermal stress and stress intensity factor of functionally gradient materials, in Ceramic Transactions: Functionally Gradient Materials, I. B. Holt, Ed., American Ceramic Society, Westerville, Ohio, USA. 34 (1993).

[21] T. Fuchiyama and N. Noda, Multiple crack growths in the functionally graded plate under thermal shock, in Proceedings of the 4th International Congress on Thermal Stresses, Osaka, Japan, (2001) 121-124.

DOI: 10.1080/014957301750379621