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Results of mathematical modeling of a heat-conduction process

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Abstract

Using a special regularizing algorithm, the induction quenching of steel samples is mathematically modeled, allowing optimal conditions for the process to be chosen.

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Literature cited

  1. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  2. A. N. Tikhonov and V. B. Glasko, “Methods of determining body surface temperatures,” Zh. Vychisl. Mat. Mat. Fiz.,7, No. 4, 910–914 (1967).

    Google Scholar 

  3. V. B. Glasko, M. V. Zakharov, and A. Ya. Kolp, “Return of heat flux to body surface for nonlinear heat conduction based on regularization method,” Inzh.-Fiz. Zh.,29, No. 1, 60–62 (1975).

    Google Scholar 

  4. O. M. Alifanov, “Regularizing schemes for solving inverse heat-conduction problems,” Inzh.-Fiz. Zh.,24, No. 2, 324–333 (1973).

    Google Scholar 

  5. O. M. Alifanov, State and Likely Developments of Inverse Heat-Transfer Problems in Investigating Thermal Processes and Designing Technical Systems [in Russian], Preprint of Scientific Soviet on Heat-and Mass-Transfer Processes in Technological Processes, Minsk (1977).

  6. A. N. Tikhonov, V. B. Glasko, N. I. Kulik, and I. N. Shklyarov, “Inverse problem of heat-conduction theory,” Zh. Vychisl. Mat. Mat. fiz.,19, No. 3, 768–774 (1979).

    Google Scholar 

  7. N. B. Vargaftik, Thermophysical Properties of Materials [in Russian], Tekhénergoizdat, Moscow-Leningrad (1956).

    Google Scholar 

  8. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  9. A. A. Samarskii and E. S. Nikolaev, Methods of Solving Grid Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  10. B. M. Budak and F. P. Vasil'ev, Approximate Methods of Solving Optimal-Control Problems (Lecture Texts) [in Russian], Moscow State University, Moscow (1969).

    Google Scholar 

  11. É. Gudremon, Special Steels [in Russian], Vol. 1, Metallurgiya, Moscow (1966).

    Google Scholar 

  12. N. I. Kobasko, “Computer investigation of thermal processes in quenching steel, “ Metalloved. Term. Obrab. Met., No. 10, 8–13 (1976).

    Google Scholar 

  13. K. Z. Shepelyakovskii, I. N. Shklyarov, and V. D. Kal'ner, “Regions of application of simultaneous and continuously sequential heating in surface quenching,” Elektrotermiya, No. 73–74, 51 (1968).

    Google Scholar 

  14. I. N. Shklyarov and F. I. Shor, “Resistance to small plastic deformations of beams subjected to inductional surface quenching,” Vestn. Mashinostr., No. 12, 59–63 (1967).

    Google Scholar 

  15. Gulyaev, Metals Science [in Russian], Metallurgiya, Moscow (1977).

    Google Scholar 

  16. A. A. Popov and L. E. Popova, Isometric and Thermokinetic Decay Diagrams of Supercooled Austenite [in Russian], Metallurgiya, Moscow (1965).

    Google Scholar 

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. N. Tikhonov, N. I. Kulik, I. N. Shklyarov & V. B. Glasko

Authors
  1. A. N. Tikhonov
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  2. N. I. Kulik
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  3. I. N. Shklyarov
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  4. V. B. Glasko
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 5–10, July, 1980.

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Tikhonov, A.N., Kulik, N.I., Shklyarov, I.N. et al. Results of mathematical modeling of a heat-conduction process. Journal of Engineering Physics 39, 717–721 (1980). https://doi.org/10.1007/BF00821821

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  • DOI: https://doi.org/10.1007/BF00821821

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