Research Article
BibTex RIS Cite

Finite Element Calculation of Residual Thermal Stresses for Functionally Graded Hydroxyapatite-Titanium Plate Design

Year 2013, Volume: 1 Issue: 2, 1 - 10, 01.08.2013
https://doi.org/10.5505/apjes.2013.10820

Abstract

Functionally graded materials (FGMs) have varying graded composition along their thickness as the result of a gradual transition of the properties belongs to the different composed materials. Whenever these two dissimilar materials are combined together, the residual stress caused certainly by the difference of coefficient of thermal expansion will leads to decohesion/delamination of the structures. This study aims to analyze the residual thermal stress for the design of functionally graded Hydroxyapatite-Titanium plate as a solution to the sharp interfaces. Finite element method (FEM) has been implemented for the parametric study to see the correlation between some parameters and the performance of the FGM structure. The results show that P = 1, t = ±0.8 mm and N ≥ 5 are the optimized and the best values for the compositional distribution exponent, thickness of the graded layers and the layer number, respectively. The calculated residual thermal stress values were verified through the comparison with the established results reported previously. In conclusion, the FEM is proved applicable for the design and evaluation of elastic residual thermal stress of an FGM structure.

References

  • Hirano T, Teraki J, and Yamada T. On the design of functionally gradient materials. In: Yamanouochi M, Koizumi M, Hirai T, Shiota I, editors. Proceedings of the 1st International Symposium on Functionally Gradient Materials, Sendai, Japan; 1990, p. 209–214.
  • Igari T, Notomi A, Tsunoda H, Hida K, Kotoh T, Kunishima S. Material properties of functionally gradient material for fast breed reactor. In: Yamanouochi M, Koizumi M, Hirai T, Shiota I, editors. Proceedings of the 1st International Symposium on Functionally Gradient Materials, Sendai, Japan; 1990, p.209-214.
  • Mattei G, Tirella A, Ahluwalia A. Functionally Graded Materials (FGMs) with predictable and controlled gradient profiles: computational modelling and Computational Methods in Engineering Science & Mechanics (CMES) 2012;87(6):483-504.
  • Tani J, Liu GR. Surface waves in functionally gradient piezoelectricplates. JSME International Journal Engineering) 1993;36:152–155.
  • Hirano T, Whitlow LW, Miyajima M. Numerical analysis of efŞciency improvement in functionally gradient thermoelectric materials. In: Holt JB, Koizumi M, Hirai T, Munir ZA, editors. Proceedings of the 2nd International Symposium on Functionally Gradient Materials, Ceram Trans, Westerville, Ohio;1993,p.23-30.
  • Suresh S, Mortensen A. Fundamentals of Functionally Communications Ltd: London; 1998.
  • Rabin BH, Williamson RL, Suresh S. Fundamentals of residual stresses in joints between dissimilar material. MRS Bull 1995;20:37–39.
  • Park JH, Lee JC, Ryu SH, Jung KB, Song H-B, Yun JC, Choa YH, Ahn SH, Lee CS. Crack-free joint in a Ni-Al2O3 FGM system using three-dimensional modeling. Mater Trans 2009;50(7):1875-1880.
  • Lee JC, Park JH, Ryu SH, Hong HJ, Riu DH, Ahn SH, Lee CS. Reduction of functionally graded material layers for Si3N4-Al2O3 system using three- dimensional finite element modeling. Mater Trans 2008;49(4):829-834.
  • Sarikaya O, Celik E. Effects of residual stress on thickness and interlayer of thermal barrier ceramic MgO-ZrO2 coatings on Ni and AlSi substrates using finite element method. Mater. Des. 2002;23(7):645- 6
  • Chen F, Jie W. Finite element design of MgO/Ni system functionally graded materials. J. Mater. Process. Technol. 2007;182(1-3):181-184.
  • Boucafa A, Benzair A, Tounsi A, Draiche K, Mechab I, Bedia EA. Analytical modeling of thermal residual stresses in exponential functionally graded material system. Mater Design 2010;31:560-563.
  • Reddy J, Wang C, Kitipornchai S. Axisymmetric bending of functionally graded circular and annular plates. Eur J Mech A-Solid 1999;18(2):185-199.
  • Zhang G, Guo Q, Wang K, Zhang H, Song Y, Shi J, Liu L. Finite element design of SiC/C functionally graded materials for ablation resistance application. Mater Sci Eng A 2008;488:45-49.
  • Chu C, Zhu J, Yin Z, Lin P. Optimal design and fabrication functionally graded biomaterial. Mater Sci Eng A 2003;348:244-250. asymmetrical

Finite Element Calculation of Residual Thermal Stresses for Functionally Graded Hydroxyapatite-Titanium Plate Design

Year 2013, Volume: 1 Issue: 2, 1 - 10, 01.08.2013
https://doi.org/10.5505/apjes.2013.10820

Abstract

.

References

  • Hirano T, Teraki J, and Yamada T. On the design of functionally gradient materials. In: Yamanouochi M, Koizumi M, Hirai T, Shiota I, editors. Proceedings of the 1st International Symposium on Functionally Gradient Materials, Sendai, Japan; 1990, p. 209–214.
  • Igari T, Notomi A, Tsunoda H, Hida K, Kotoh T, Kunishima S. Material properties of functionally gradient material for fast breed reactor. In: Yamanouochi M, Koizumi M, Hirai T, Shiota I, editors. Proceedings of the 1st International Symposium on Functionally Gradient Materials, Sendai, Japan; 1990, p.209-214.
  • Mattei G, Tirella A, Ahluwalia A. Functionally Graded Materials (FGMs) with predictable and controlled gradient profiles: computational modelling and Computational Methods in Engineering Science & Mechanics (CMES) 2012;87(6):483-504.
  • Tani J, Liu GR. Surface waves in functionally gradient piezoelectricplates. JSME International Journal Engineering) 1993;36:152–155.
  • Hirano T, Whitlow LW, Miyajima M. Numerical analysis of efŞciency improvement in functionally gradient thermoelectric materials. In: Holt JB, Koizumi M, Hirai T, Munir ZA, editors. Proceedings of the 2nd International Symposium on Functionally Gradient Materials, Ceram Trans, Westerville, Ohio;1993,p.23-30.
  • Suresh S, Mortensen A. Fundamentals of Functionally Communications Ltd: London; 1998.
  • Rabin BH, Williamson RL, Suresh S. Fundamentals of residual stresses in joints between dissimilar material. MRS Bull 1995;20:37–39.
  • Park JH, Lee JC, Ryu SH, Jung KB, Song H-B, Yun JC, Choa YH, Ahn SH, Lee CS. Crack-free joint in a Ni-Al2O3 FGM system using three-dimensional modeling. Mater Trans 2009;50(7):1875-1880.
  • Lee JC, Park JH, Ryu SH, Hong HJ, Riu DH, Ahn SH, Lee CS. Reduction of functionally graded material layers for Si3N4-Al2O3 system using three- dimensional finite element modeling. Mater Trans 2008;49(4):829-834.
  • Sarikaya O, Celik E. Effects of residual stress on thickness and interlayer of thermal barrier ceramic MgO-ZrO2 coatings on Ni and AlSi substrates using finite element method. Mater. Des. 2002;23(7):645- 6
  • Chen F, Jie W. Finite element design of MgO/Ni system functionally graded materials. J. Mater. Process. Technol. 2007;182(1-3):181-184.
  • Boucafa A, Benzair A, Tounsi A, Draiche K, Mechab I, Bedia EA. Analytical modeling of thermal residual stresses in exponential functionally graded material system. Mater Design 2010;31:560-563.
  • Reddy J, Wang C, Kitipornchai S. Axisymmetric bending of functionally graded circular and annular plates. Eur J Mech A-Solid 1999;18(2):185-199.
  • Zhang G, Guo Q, Wang K, Zhang H, Song Y, Shi J, Liu L. Finite element design of SiC/C functionally graded materials for ablation resistance application. Mater Sci Eng A 2008;488:45-49.
  • Chu C, Zhu J, Yin Z, Lin P. Optimal design and fabrication functionally graded biomaterial. Mater Sci Eng A 2003;348:244-250. asymmetrical
There are 15 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Siti Nur Sakinah Jamaludin This is me

Faizal Mustapha This is me

Dewan Muhammad Nuruzzaman This is me

Tuan Muhammad Yusoff Tuan Ya This is me

Shahnor Basri This is me

Publication Date August 1, 2013
Submission Date November 14, 2015
Published in Issue Year 2013 Volume: 1 Issue: 2

Cite

IEEE S. N. S. Jamaludin, F. Mustapha, D. M. Nuruzzaman, T. M. Y. T. Ya, and S. Basri, “Finite Element Calculation of Residual Thermal Stresses for Functionally Graded Hydroxyapatite-Titanium Plate Design”, APJES, vol. 1, no. 2, pp. 1–10, 2013, doi: 10.5505/apjes.2013.10820.