1] S. Falahatkar, A. Nouri-Borujerdi, A. Mohammadzadeh, M. Najafi, Evaluation of heat conduction in a laser irradiated tooth with the threephase-lag bio-heat transfer model, Thermal Science and Engineering Progress 7 (2018) 203
–212,
doi : 10.1016/j.tsep.2018.06.012.
[2] Vannakorn Mongkol, Phadungsak Rattanadecho, Wutipong Preechaphonkul, Kambiz Vafai, Comparative analysis of heat transfer and thermal damage of living biological tissue incorporating local thermal non-equilibrium, dual-phase-lags, and bioheat equations, Journal of Thermal Biology, December 2025, Volume 134.
doi : 10.1016/j.jtherbio.2025.104343.
[3] Wutipong Preechaphonkul, Vannakorn Mongkol, Patcharapit Promoppatum, Viritpon Srimaneepong, Comparative analysis of repetitive pulsed and continuous laser heating in multi layered skin: Bioheat vs. dual-phase lag model perspective, International Journal of Thermofluids, Volume 29, September 2025.
doi : 10.1016/j.ijft.2025.101371.
[4] I.D. Horvat, Numerical modeling of non-Fourier bioheat transfer in multilayer biological tissue using BEM to simulate dynamic thermography in skin tumor diagnostics, Engineering Analysis with Boundary Elements, Volume 179, Part A, October 2025.
doi : 10.1016/j.enganabound.2025.106408.
[5] Xin Zhang, Xiaohua Zhang, Two high-order compact alternating direction implicit difference methods for second-order dual-phase-lag model of microscale heat transfer problem International Communications in Heat and Mass Transfer, November 2025, Volume 168.
doi : 10.1016/j.icheatmasstransfer.2025.109414.
[6] Weiping Wu, Chi-Wang Shu , Numerical simulations of non-Fourier heat transfer using local discontinuous Galerkin methods, Applied Thermal Engineering, 15 December 2025, Volume 281, Part 2.
doi:10.1016/j.applthermaleng.2026.130547.
[7] Sharif A. Sulaiman, Zahra Shomali, The non-local Dual Phase Lag model of heat conduction in a silicon metal-oxide-semiconductor field-effect transistor, International Communications in Heat and Mass Transfer, June 2025, Volume 165, Part B.
doi: 10.1016/j.icheatmasstransfer.2025.109034.
[8] Kaiyuan Chen, Zhicheng Hu, Yixin Xu, Thermal analysis of dual-phase-lag model in a two-dimensional plate subjected to a heat source moving along elliptical trajectories, International Journal of Heat and Mass Transfer, Volume 244, July 2025.
doi: 10.1016/j.ijheatmasstransfer.2025.126880.
[9] Huili Guo, Zhipeng Xu, Fulin Shang, Nonlinear time-domain FEM method to non-Fourier thermoelasticity with space-dependent thermal conductivity and impact responses of laser-heated 2D metallic plate, International Communications in Heat and Mass Transfer, December 2025, Volume 169, Part A.
doi: 10.1016/j.icheatmasstransfer.2025.109556.
[10] Wenzhi Yang, Xueyang Zhang, Zhijun Liu, Chuanbin Yu, Zengtao Chen, Thermoelastic fracture analysis of porous metal foams under cold shock using the dual-phase-lag model, Case Studies in Thermal Engineering, Volume 76, December 2025.
doi: 10.1016/j.csite.2025.107355.
[11] Ali Jabari Moghadam, Characterizing the thermal penetration depth of non-Fourier heat conduction in an infinite medium, International Communications in Heat and Mass Transfer, February 2025, Volume 161.
doi: 10.1016/j.icheatmasstransfer.2024.108522.
[12] D.Y. Tzou, A unified field approach for heat conduction from macro to Microscales, ASME
Journal of heat transfer, 117 (1995) 8–16.
doi:10.1115/1.2822329.
[13] Incropera, F. P., DeWitt, D. P., Bergman, T. L., & Lavine, A. S. Fundamentals of Heat and Mass Transfer, 4th ed., John Wiley & Sons, New York, 1996.
[14] Fletcher, C. A. J. Computational Techniques for Fluid Dynamics, Vol. 2, Springer-Verlag, Berlin, 1991.
[15] Thompson, J. F., Warsi, Z. U. A., & Mastin, C. W. Numerical Grid Generation: Foundations and Applications, North-Holland, New York, 1985.
[16] Hoffmann, K. A. Computational Fluid Dynamics, Vol. 1, Engineering Education System, Wichita, KS, USA, 2000.
[17] Quintanilla, R. Exponential stability in the dual-phase-lag heat conduction theory. Journal of Non-Equilibrium Thermodynamics, 27 (2002), 217–227.
[18] Green, D. J., Hannink, R. H. J., & Swain, M. V. Transformation Toughening of Ceramics, CRC Press, Boca Raton, FL, 1989.
[19] Kingery, W. D., Bowen, H. K., & Uhlmann, D. R. Introduction to Ceramics, 2nd ed., John Wiley & Sons, New York, 1976.
[20] Svelto, O. Principles of Lasers, 5th ed., Springer, New York, 2010.
[21] Powell, J. Laser Processing of Materials: Fundamentals, Applications and Developments, Springer, Cham, Switzerland, 2017.
[22] Steen, W. M., & Mazumder, J. Laser Material Processing, 4th ed., Springer, London, 2012.
[23] Kaplan, A. F. H. Modeling of Pulsed Laser Heating and Melting. Applied Surface Science, 186 (2002), 188–197.
[24] Modest, M. F. Radiative Heat Transfer, 4th ed., Academic Press, Cambridge, MA, 2021.
[25] Sirona InLab Dental Zirconia Block. Dental Laboratorio. Available at: https://www.dentallaboratorio.com/product/sirona-inlab-dental-zirconia-block (Accessed: 25 July 2026).
[26] Sintering Zirconia Blocks: What You Need to Know. Zahn Dental. Available at: https://www.zahndent.com/sintering-zirconia-blocks-what-you-need-to-know (Accessed: 25 July 2026).
[27] Effect of Sintering Temperature on the Color of 3D Monolithic Zirconia. Bloomden Bioceramics. Available at: https://www.bloomden.com/blog/Effect-of-Sintering-Temperature-on-the-Color-of-3D-Monolithic-Zirconia (Accessed: 25 July 2026).
[28]Qiu, T. Q., Tien, C. L., 1992, Short-pulse laser heating on metals, International Journal of Heat and Mass Transfer, 35, pp. 719-726
. doi:10.1016/0017-9310(92)90131-B.
[29]Qiu, T. Q., Tien, C. L., 1993, Heat transfer mechanisms during short-pulse laser heating of metals, ASME Journal of Heat Transfer, 115, pp. 835-841.
[30] Quintanilla, R., A Well-Posed Problem for the Three-Dual-Phase-Lag Heat Conduction, Journal of Thermal Stresses, 32, 1270-1278, 2009.
doi:10.1080/01495730903310599.
[31] A. Massaguer et al., Method of obtaining dual-phase-lag times in aggregate porous materials with a nonhomogeneous inner structure, Journal of Thermal Analysis and Calorimetry, 150(19):15251-15260.
doi : 10.1007/s10973-025-14605-x.