Stress behaviour across human tooth by temperature gradient resulting of laser irradiation

Authors

  • S. Falahatkar Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Daneshgah Blvd, Simon Bulivar Blvd, Tehran, Iran. Phone: +989111372847; Fax: +981333527614
  • A. Nouri-Borujerdi School of Mechanical Engineering, Sharif University of Technology, Azadi Ave, Tehran, Iran
  • M. Najafi Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Daneshgah Blvd, Simon Bulivar Blvd, Tehran, Iran. Phone: +989111372847; Fax: +981333527614

DOI:

https://doi.org/10.15282/jmes.14.1.2020.01.0486

Keywords:

Bio-Heat Equation, Laser Therapy, Three-Phase-Lag, Periodic Heat Flux, Numerical method

Abstract

The authors report the simulation of temperature distribution and thermally induced stress in the premolar tooth under ND-YAG pulsed laser beam. The Three-Phase-Lag (TPL) non-Fourier model is proposed to describe the heat conduction in the human tooth with nonhomogeneous inner structures. A premolar tooth comprising enamel, dentin, and pulp with real shapes and thicknesses are considered and a numerical method of finite difference was adopted to solve the time-dependent TPL bio-heat transfer, strain and stress equations. The surface heating scheme is applied for simulation of laser therapy. The aim of this laser therapy is that the temperature of pulp reaches to 47oC. The results are achieved as a function of laser heat flux showed when laser beam is irradiated downward (from the top of the tooth), the temperature and thermally induced stress increase as a function of time. The temperature increment is high on the top layers of tooth that is a result of strong absorption of beams by enamel. The thermal stress and strain in the enamel and dentin layers are more than the pulp layer that is a result of weak thermal expansion of them proportional to the pulp layer.

References

Sabaeian M, Shahzadeh M. Simulation of temperature and thermally induced stress of human tooth under CO2 pulsed laser beams using finite element method. Laser in Medical Science. 2013;30(2):645-51.

Coutinho DS, Silveira L, Nicolau RA, Zanin F, Brugnera A. Comparison of temperature increase in vitro human tooth pulp by different light sources in the dental whitening process. Lasers in Medical Science. 2009; 24:179–185.

González-Rodríguez A, López-González JD, Castillo JDL, Villalba-Moreno J. Comparison of the effects of diode laser and CO2 laser on human teeth and their usefulness in topical fluoridation. Lasers in Medical Science. 2011; 26:317–324.

Çelik Köycü B, İmirzalıoğlu P. Heat transfer and thermal stress analysis of a mandibular molar tooth restored by different indirect restorations using a three dimensional finite element method. Journal of Prosthodontics. 2017; 26(5); 460-473.

Oskui I, Ashtiani M, Hashemi A, . Effect of thermal stresses on the mechanism of tooth pain. Journal of Endodontics. 2014;40(11);1835-1839.

Denise M, Zezell, Patricia A. Ana, Thiago M. Pereira, Paulo R and Walter J. Heat generation and transfer on biological tissues due to high-intensity laser irradiation. Journal of Developments in Heat Transfer. 2011; Book Chapter, InTech.

Zhou J, Zhang Y, Chen K. Non-fourier heat conduction effect on laser induced thermal damage in biological tissues. Journal of Heat Transfer. 2008; A54: 1–19.

Goodis HE, Fried D, Gansky S, Rechmann P, Featherstone JDB. Pulpal safety of 9.6 μm TEA CO2 laser used for caries prevention. Journal of Lasers Surgery Medicine. 2004; 35(2):104–110.

Lopes M, Yan Z, Consani S, Gonini A, Aleixo A, McCabe JF. Evaluation of the coefficient of thermal strain of human and bovine dentin by thermo-mechanical analysis. Brazilian Dental Journal. 2012; 23(1) :3-7.

Sagi A, Segal T, Dagan J. A numerical model for temperature distribution and thermal damage calculations in teeth exposed to a CO2 laser. Mathematical Biosciences. 1984; 71:1–17.

Malmstrom HS, Mc Cormack SM, Fried D, Featherstone J. Effect of CO2 laser on pulpal temperature and surface morphology: An in vitro study. Journal of Dentistry 2001; 29(8):521–529.

Specification of Epic Pro dentistry laser, ©; 2016; BIOLASE, Inc

Zhou J, Zhang Y, Chen J. An axisymmetric dual-phase-lag bio-heat model for laser heating of living tissues. International Journal of Thermal Sciences. 2009; 48; 1477–1485.

Falahatkar S, Nouri-Borujerdi A, Najafi M, Mohammad-zadeh A. Numerical solution of non-fourier heat transfer during laser irradiation on tooth layers. Journal of Mechanical Science and Technology. 2017; 31: 6085-6092.

Choudhuri S. On a thermos elastic three-phase-lag model. Journal of Thermal Stresses. 2007; 30: 3: 231–238.

Quintanilla R, Racke R. A note on stability in three-phase-lag heat conduction. International Journal of Heat and Mass Transfer. 2008; 51; 1-2; 27-29.

Falahatkar S, Nouri-Borujerdi A, Najafi M, Mohammad-zadeh A. Evaluation of heat conduction in a laser irradiated tooth with the three phase lag bio-heat transfer model. Thermal Science and Engineering Progress. 2018; 7; 203–212.

Brown W, Jacobs H, Thompson R. Thermal fatigue in teeth, national institute for biomedical engineering and department of mechanical engineering. University of Utah. 2016.

Lin M, Genin G, Xu F, Lu T. Thermal pain in teeth: Electrophysiology governed by thermo mechanics. Applied Mechanics Reviews. 2014; 66(3), 0308011-03080114.

Siedlecki J, And Ciesielski M. Simulations of thermal processes in a restored tooth. Journal of Applied Mathematics and Computational Mechanics. 2013; 12(4), 103-108.

Pletcher HR, Tannehill JC, Anderson DA. Computational fluid mechanics and heat transfer, 3rd Edition, CRC Press,. 2012; ISBN: 1591690374.

Liang Z, Yan Y, Cai G. A Dufort-Frankel difference scheme for two-dimensional sine-gordon equation. Discrete Dynamics in Nature and Society. 2014; Vol (2014); Article ID 784387

Jasinski M, Majchrzak E, Turchan L. Numerical analysis of the interactions between laser and soft tissues using generalized dual-phase lag equation. Applied Mathematical Modelling. 2016; 40; 750–762.

Lin M, Xu F, Jian T, Bo L, Bai F. A review of heat transfer in human tooth - Experimental characterization and mathematical modelling. Dental materials. 2011; 26; 501–513.

Martins G, Tanji EY, Wetter NU, Nogueira RD, Eduardo CP. Intrapulpal temperature during preparation with the Er: YAG laser: An in vitro study. Photomedicine and Laser Surgery. 2005; 23; 182–186.

Oumer AN, Chen JLT, Azizuddin AA. A review on thermo-physical properties of bio, non-bio and hybrid nanofluids. Journal of Mechanical Engineering and Sciences. 2019;13(4), 5875-5904.

Xu HC, Lui WY, Wang T. Measurement of thermal expansion coefficient of human teeth. Australian Dental Journal. 1989; 34(6):530–535.

Aziz Shah MAS, Yunus MA, Abdul Rani MN, Saman AM, M Sani MS, Mohd Zin, MS. The effect of laser stitch welding residual stress on the dynamic behaviour of thin steel structure. Journal of Mechanical Engineering and Sciences. 2019;13(4):5780-5790.

Romeed SA, Malik R, Dunne SM. Stress analysis of occlusal forces in canine teeth and their role in the development of non-carious cervical lesions. International Journal of Dentistry. 2012; Article ID 234845.

Al-Jethelah MSM, Dheyab HS, Khudhayer S, Ibrahim T, Al-Sammarraie AT. Latent heat storage for hot beverages. Journal of Mechanical Engineering and Sciences. 2019;13(3):5653 - 5664.

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Published

2020-03-22

How to Cite

[1]
S. Falahatkar, A. Nouri-Borujerdi, and M. Najafi, “Stress behaviour across human tooth by temperature gradient resulting of laser irradiation”, J. Mech. Eng. Sci., vol. 14, no. 1, pp. 6218–6228, Mar. 2020.