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Calculation of Target Heating by a Moving Source of Heat by the Finite Element Method Using the Splitting Scheme

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Advances in Computational Science and Computing (ISCSC 2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 877))

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Abstract

A numerical simulation of the process of heating a target by a moving heat source by the finite element method is presented using the scheme for splitting the three-dimensional thermal problem into two spatial directions-along the plane of the target and along its thickness. The basis of the mathematical model of thermal processes in the target the equation of non-stationary heat conduction of parabolic type is put.

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References

  1. Shuja, S.Z., Yilbas, B.S., Shazli, S.Z.: Laser repetitive pulse heating influence of pulse duty. Heat Mass Transf. 43, 949–955 (2007)

    Article  Google Scholar 

  2. Yilbas, B.S.: Analytical solution for time unsteady laser pulse heating of semi-infinite solid. Int. J. Mech. Sci. 39(6), 671–682 (1997)

    Article  Google Scholar 

  3. Zienkiewiez, O.C.: The Finite Element Method in Engineering Science, p. 541. McGraw-Hill, London (1971)

    Google Scholar 

  4. Segerlind, L.: Applied Finite Element Analysis, p. 392. Wiley, New York (1976)

    MATH  Google Scholar 

  5. Fornberg, B.: Calculation of weights in finite difference formulas. SIAM Rev. 40, 685–691 (1998)

    Article  MathSciNet  Google Scholar 

  6. Akimenko, T., Dunaev, V., Gorbunova, O.: Simulation of surface heating process with laser. In: NAA 2016, Sixth Conference on Numerical Analysis and Applications, Bulgaria, Lozenetz, 16–21 June, pp. 150–157 (2016)

    Google Scholar 

  7. Akimenko, T. Dunaev, V., Larkin, E.: Computer simulation of the surface heating process by the movable laser. In: Proceedings of 5th International Workshop on Mathematical Models and their Applications Krasnoyarsk, Russia, 7–9 November 2016, pp. 11–17 (2016)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Tula State University, 92 “Lenina” prospect, Tula, 300012, Russia

    Tatiana A. Akimenko & Inna V. Dunaeva

Authors
  1. Tatiana A. Akimenko
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  2. Inna V. Dunaeva
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Corresponding authors

Correspondence to Tatiana A. Akimenko or Inna V. Dunaeva .

Editor information

Editors and Affiliations

  1. Division of Intelligent Future Technologies, Mälardalen University, Västerås, Sweden

    Ning Xiong

  2. School of Information Science and Technology, Hunan University, Changsha, Hunan, China

    Zheng Xiao

  3. School of Computer Science, Hunan Normal University, Changsha, Hunan, China

    Zhao Tong

  4. Hunan University of Chinese Medicine, School of Computer Science, Changsha, Hunan, China

    Jiayi Du

  5. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

  6. Design and Physical Sciences Brunel, Electronic and Computer Engineering, College of Engineering, Uxbridge, Middlesex, UK

    Maozhen Li

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Akimenko, T.A., Dunaeva, I.V. (2019). Calculation of Target Heating by a Moving Source of Heat by the Finite Element Method Using the Splitting Scheme. In: Xiong, N., Xiao, Z., Tong, Z., Du, J., Wang, L., Li, M. (eds) Advances in Computational Science and Computing. ISCSC 2018 2018. Advances in Intelligent Systems and Computing, vol 877. Springer, Cham. https://doi.org/10.1007/978-3-030-02116-0_41

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