Analytical Modelling for Laser Heating for Materials Processing and Surface Engineering

  • Jaideep DuttaEmail author
  • Balaram Kundu
  • Hargovind Soni
  • Peter Madindwa Mashinini
Part of the Engineering Materials book series (ENG.MAT.)


Light amplification by stimulated emission of radiation (laser) is an organized monochromatic electromagnetic radiation beam which can proliferate linearly with negligible disparity and the source of energy is found in broad spectrum of wavelength. Laser has been witnessed as ample applications in thermal processing right from material processing to thermal therapy for cancer treatment. The laser processing of materials can be classified as: laser assisted machining, forming, joining and surface engineering. The emitted energy source from laser can be spotlighted into a small spot and it caters a large amount of intense energy which is quintessential for penetration in materials for surface treatment. In this book chapter, exact analytical solution of three-dimensional dual-phase-lag heat conduction model has been developed under the influence of non-Gaussian time and space dependent laser heat source. The corresponding mathematical solution is obtained with implementation of ‘Finite integral transform’ and ‘Duhamel’s theorem’. The consequence of lagging behaviour on laser heating has been studied. The laser heating process variables such as laser exposure, power density have been investigated with temperature variation. The development of surface thermal contours defines the heat flow in the substrate domain. The accuracy of present mathematical modelling has been justified based on the physical phenomena observed under laser heating.


Laser Dual-phase-lag Thermal response Three dimensional Analytical solution 


Conflict of interest

The authors have declared no conflict of interest.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Jaideep Dutta
    • 1
    • 2
    Email author
  • Balaram Kundu
    • 2
  • Hargovind Soni
    • 3
  • Peter Madindwa Mashinini
    • 3
  1. 1.Department of Mechanical EngineeringMCKV Institute of EngineeringLiluah, HowrahIndia
  2. 2.Department of Mechanical EngineeringJadavpur UniversityKolkataIndia
  3. 3.Mechanical and Industrial Engineering TechnologyUniversity of Johannesburg (Doornfontein Campus)JohannesburgSouth Africa

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