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Mathematical physics analysis of surface heating and modification during laser treatment of materials (survey)

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Conclusion

The development of investigations of solid body surface modification processes proceeds in the direction of detailing the physical pattern of the phenomenon, the introduction of additional factors into the computational scheme, and the development of adequate mathematical methods. Coefficients here often appear in the theory whose determination can be an independent problem. More complicated models describe the process more exactly but their application is fraught with known difficulties. A sufficiently complete investigation can be performed for a combination of relatively simple approximate analytic solutions and detailed numerical computations for the most important particular cases.

A laser thermal source inserts definite features in different surface modification processes which appear in known proximity to mathematical models and generality of approaches to the solution of nonisothermal problems. We examined certain such general features, associated with the limiting role of processes on the phase separation and mass transfer boundary in this paper. Their analysis permitted clarification and description of a number of regularities and effects such as treatment of an amorphous layer and the conditions for its thermomechanical stability, the dependence of steel hardening process parameters on the state of its initial structure and heating rate, the non-monotonic nature of the dependences of the chemical reaction rate on the temperature and pressure, the optimal conditions of HTSC dissociation and synthesis, the change in the optical properties and low energetic mechanism of laser ablation of HTSC films, etc.

Let us note that a number of substantial questions remained outside the framework of the present survey both because of inadequate developments of some of them (for example, the regularities of laser hardening of doped alloys [58, 59] as well as phase transitions for which the concept of a phase separation boundary is unacceptable) and also in connection with their independent value (for instance, the hydrodynamic flow of a melt [3, 28, 95, 96], surface electromagnetic waves [97–99], development and interaction of different instabilities [100, 101], chemical reactions in gases and the liquid phase [8, 102, 103], etc.). Each of the listed questions deserves individual detailed analysis.

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Authors and Affiliations

  1. Scientific-Research Center on Technological Lasers, Academy of Sciences of the USSR, Troitsk

    É. N. Sobol', A. L. Glytenko & B. Ya. Lyubov

  2. I. P. Bardin Central Scientific-Research Institute of Ferrous Metallurgy, Moscow

    É. N. Sobol', A. L. Glytenko & B. Ya. Lyubov

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  1. É. N. Sobol'
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  2. A. L. Glytenko
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 58, No. 3, pp. 357–374, March, 1990.

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Sobol', É.N., Glytenko, A.L. & Lyubov, B.Y. Mathematical physics analysis of surface heating and modification during laser treatment of materials (survey). Journal of Engineering Physics 58, 251–266 (1990). https://doi.org/10.1007/BF00871449

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