International Scientific Journal


One 3-D transient temperature field model for a thin uniform plate caused by a moving laser heat source is described in present study. The heat source model with a power density in Gaussian-distribution form is considered when a finite-thin uniform plate is heated. By using the separate variable method and the Newton-Cotes method, a semi-analytical solution of 3-D heat conduction equation in the finite field is obtained. Numerical results show that the effect of laser heat source distribution, laser moving speed as well as aspect ratio of the thin uniform plate have great influence on the 3-D distribution of the temperature field.
PAPER REVISED: 2019-05-24
PAPER ACCEPTED: 2019-05-31
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 1, PAGES [107 - 119]
  1. Trdan, U., et al., Application of Massive Laser Shock Processing for Improvement of Mechanical and Tribological Properties, Surf. Coat. Tech., 342 (2018), May, pp. 1-11
  2. Wang, H.S., et al., Application of Laser Remelting Process on the Zr-Cu Based Alloy Composite, Intermetallics, 95 (2018), Apr., pp. 11-18
  3. Zaffino, R., et al., Preparation and Characterization of Micro-Nano Engineered Targets for High-Power Laser Experiments, Microelectron. Eng., 194 (2018), July, pp. 67-70
  4. Sciscio, M., et al., Analysis of Induced Stress on Materials Exposed to Laser-Plasma Radiation during High-Intense Laser Experiments, Appl. Surf. Sci., 421, Part A (2017), Nov., pp. 200-204
  5. Zhan, Y., et al., Experiment and Numerical Simulation for Laser Ultrasonic Measurement of Residual Stress, Ultrasonics, 73 (2017), Jan., pp. 271-276
  6. Lax, M., Temperature Rise Induced by a Laser Beam, J. Appl. Phys., 48 (1977), 9, pp. 3919-3924
  7. Li, J., et al., Numerical Simulation and Experiment of High Brightness Tapered Lasers, Optik, 158 (2017), Apr., pp. 502-507
  8. Erfan, M.R., et al., Moving Perforation of Rocks Using Long Pulse Nd:YAG Laser, Opt. Laser. Eng., 94 (2017), July, pp. 12-16
  9. Ragavendran, M., et al., Optimization of Hybrid Laser-TIG Welding of 316LN Steel Using Response Surface Methodology (RSM), Opt. Laser. Eng., 94 (2017), July, pp. 27-36
  10. Wang, H., et al., A Model to Calculate the Laser Absorption Property of Actual Surface, Int. J. Heat Mass Tran., 118 (2018), Mar., pp. 562-569
  11. Zhou, Y. H., et al., Layered Surface Structure of Gas-Atomized High Nb-Containing TiAl Powder and Its Impact on Laser Energy Absorption for Selective Laser Melting, Appl. Surf. Sci., 441 (2018), May., pp. 210-217
  12. Zhong, Y., et al., Effective Mass Dependence in Laser-Induced Absorption of ZnO Pumped by Mid-In-rared Laser Pulse, Opt. Commun., 395 (2017), July, pp. 261-266
  13. Hu, C., et al., Enzyme-Triggered Size Shrink and Laser-Enhanced NO Release Nanoparticles for Deep Tumor Penetration and Combination Therapy, Biomaterials, 168 (2018), June, pp. 64-75
  14. Bunaziv, I., et al., Deep Penetration Fiber Laser-Arc Hybrid Welding of Thick HSLA Steel, J. Mater. Process. Tech., 256 (2018), June, pp. 216-228
  15. Li, Y., et al., Phase Evolution of Ductile Iron During Laser Cladding Processing, Surf. Coat. Tech., 339 (2018), Apr., pp. 37-47
  16. He, X., et al., IR Laser Induced Phase Change Behaviors of the NaCl Solution in the Microchannel, Chem. Eng. Sci., 187 (2018), Sept., pp. 318-326
  17. He, X., et al., Pulsating Flow Triggered by the Laser Induced Phase Change in Microchannels with Saw-tooth-Shaped Baffles, Sensor. Actuat. B-Chem., 260 (2018), May, pp. 1018-1024
  18. Vilanova-Martinez, P., et al., Laser Heating Induced Phase Changes of VO2 Crystals in Air Monitored by Raman Spectroscopy, J. Alloy Compd., 661 (2016), March, pp. 122-125
  19. Lei, S., Shin, Y. C., Experimental Investigation of Thermo-Mechanical Characteristics in Laser-Assisted Machining of Silicon Nitride Ceramics, J. Manuf. Sci. Eng., 123 (2001), 4, pp. 639-646
  20. Rozzi, J. C., Experimental and Theoretical Evaluation of the Laser Assisted Machining of Silicon Nitride, Ph. D. thesis, Purdue University, West Lafayette, Ind., USA, 1997
  21. Rozzi, J. C., et al., Experimental Evaluation of the Laser-Assisted Machining of Silicon Nitride Ceramics, J. Manuf. Sci. Eng., 122 (2000), 4, pp. 666-670
  22. Rozzi, J. C., et al., Transient, Three-Dimensional Heat Transfer Model for the Laser Assisted Machining of a Silicon Nitride Ceramic: Part I - Comparison with Measured Surface Temperature Histories, Int. J. Heat Mass Tran., 43 (2000), 8, pp. 1409-1424
  23. Rebro, P. A., et al., Laser-Assisted Machining of Reaction Sintered Mullite Ceramics, J. Manuf. Sci. Eng., 124 (2002), 4, pp. 875-885
  24. Mochida, Y., et al., Ultra-High-Speed Grinding of Si3N4 Ceramics, J. Ceram. Soc. Jpn., 105 (1997), 1225, pp. 784-788
  25. Li, C., et al., Simulation of the Effect of Spot Size on Temperature Field and Weld Forming in Laser Tissue Welding, Optik, 155 (2018), Feb., pp. 315-323
  26. Wu, X. X., et al., Application of ANSYS Software in Temperature Field Value Simulation of laser Welding (in Chinese), J. Electr. Weld Mach., 32 (2002), pp. 1-3
  27. Gutierrez, G., Araya, J. G., Temperature Distribution in a Finite Solid due to a Moving Laser Beam, ASME 2003 International Mechanical Engineering Congress and Exposition, 3 (2003), May, pp. pp. 259-271
  28. Woo, H. G., Cho, H. S., Three-Dimensional Temperature Distribution in Laser Surface Hardening Processes, Proc. Instn. Mech. Engrs., 213 (1999), 7, pp. 695-712
  29. Han, G. M., et al., Dynamic Simulation of the Temperature Field of stainless steel laser welding, Mater. Design, 28 (2007), 1, pp. 240-245
  30. Donald, R. W., Bathe, K. J., An Efficient Algorithm for Analysis of Nonlinear Heat Transfer with Phase Changes, Int. J. Numer. Meth. Eng., 18 (1982), 1, pp. 119-134
  31. Agarwal, P. K., Brimacombe, J. K., Mathematical Model of Heat Flow and Austenite-Pearlite Transformation in Eutectoid Carbon Steel Rods for Wire, Metall. Mater. Trans. B, 12 (1981), 1, pp. 121-133
  32. Yao, G. F., Chen, G. N., Numerical Simulation of Transient Thermal Field in Laser Melting Process, J. App. Math. Mech., 25 (2004), 8, pp. 945-950
  33. Hu, Z., et al., Numerical Simulation of Temperature Field Distribution for Laser Sintering Graphene Re-inforced Nickel Matrix Nanocomposites, J. Alloy Compd., 688, Part A (2016), Dec., pp. 438-448
  34. Li, Y., et al., Modeling Temperature and Residual Stress Fields in Selective Laser Melting, Int. J. Mech. Sci., 136 (2018), Feb., pp. 24-35
  35. Elsen, M. V., et al., Solutions for Modeling Moving Heat Sources in a Semi-Infinite Medium and Applications to Laser Material Processing, Int. J. Heat Mass Tran., 50 (2007), 23-24, pp. 4872-4882
  36. Cheng, P. J., Lin, S. C., An Analytical Model for the Temperature Field in the Laser Forming of Sheet Metal, J. Mater. Process Tech., 101 (2000), 1-3, pp. 260-267
  37. Brockmann, R., et al., Calculation of Temperature Field in a Thin Moving Sheet Heated with Laser Beam, Int. J. Heat Mass Tran., 46 (2003), 4, pp. 717-723
  38. Jiang, H. J., Dai, H. L., Analytical Solutions for Three-Dimensional Steady and Transient Heat Conduction Problems of a Double-Layer Plate with a Local Heat Source, Int. J. Heat Mass Tran., 89 (2015), Oct., pp. 652-666
  39. Jiang, H. J., et al., High-Energy Laser Shock Processing for a Rectangular HSLA Steel Plate Considering Solid-Liquid-Vapor Phase Change, Appl. Therm. Eng., 93 (2016), Jan., pp. 384-396
  40. Jiang, H. J., Dai, H. L., Effect of Laser Processing on Three Dimensional Thermodynamic Analysis for HSLA Rectangular Steel Plates, Int. J. Heat Mass Tran., 82 (2015), Mar., pp. 98-108
  41. Winczek, J., et al., Analytical Description of the Temperature Field Induced by Laser Heat Source with any Trajectory, J. Procedia Eng., 149 (2016), Dec., pp. 553-558
  42. Chen W. Q., et al., General Solutions for Elasticity of Transversely Isotropic Materials with Thermal and Other Effects: A Review, J. Therm. Stresses, 42 (2019), 1, pp. 90-106
  43. Araya, G., Gutierrez, G., Analytical Solution for a Transient, Three-Dimensional Temperature Distribution due to a Moving Laser Beam, Int. J. Heat Mass Tran., 49 (2006), 21-22, pp. 4124-4131
  44. Frank, P. I., et al., Fundamentals of Heat and Mass Transfer, 4th ed., Wiley, New York, USA, 1996
  45. Touloukian, Y. S., et al., Thermophysical Properties of Matter, TPRL Inc. Washington, USA, 1970

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence