Have a personal or library account? Click to login

Parametric Integral Equations Systems Method In Solving Unsteady Heat Transfer Problems For Laser Heated Materials

Acta Mechanica et Automatica
Volume 9 (2015): Issue 3 (September 2015)
By:
Open Access
|Nov 2015

References

  1. 1. Al-Nimr M. A., Alkam M., Arpaci V. (2002), Heat transfer mechanisms during short-pulse laser heating of two-layer composite thin films, Heat and Mass Transfer, 38(7-8), 609-614.10.1007/s002310100223
    Search in Google Scholar
  2. 2. Brebbia C. A., Telles J. C., Wrobel, L. C. (1984), Boundary element techniques, theory and applications in engineering, Springer, New York.10.1007/978-3-642-48860-3
    Search in Google Scholar
  3. 3. Brugger K. (1972), Exact solution for the temperature rise in a laser-heated slab, J. Appl. Phys., 43, 557–583.
    Search in Google Scholar
  4. 4. Gladush G. G., Smurov I. (2011), Physics of Laser Materials Processing: theory and experiment, Springer series in materials science, 146.10.1007/978-3-642-19831-1
    Search in Google Scholar
  5. 5. Jewtuszenko A., Matysiak S. J., Różniakowska M. (2009), The temperature and thermal stresses caused by the laser impact on construction materials (in Polish), OWPB, Białystok.
    Search in Google Scholar
  6. 6. Jirousek J., Qin Q. H. (1996), Application of hybrid-Trefftz element approach to transient heat conduction analysis, Computers & Structures, 58, 195–201.10.1016/0045-7949(95)00115-W
    Search in Google Scholar
  7. 7. Johanssona B. T., Lesnicb D. (2008), A method of fundamental solutions for transient heat conduction, Engineering Analysis with Boundary Elements, 32, 697–703.10.1016/j.enganabound.2007.11.012
    Search in Google Scholar
  8. 8. Lewis R. W., Morgan K., Thomas H. R., Seetharamu K. (1996), The Finite Element Method in Heat Transfer Analysis, Wiley.
    Search in Google Scholar
  9. 9. Majchrzak E. (2001), Boundary element method in heat transfer (in Polish), Wydawnictwo Politechniki Częstochowskiej, Częstochowa.
    Search in Google Scholar
  10. 10. Nowak A. J., Brebbia C. A. (1989), The multiple-reciprocity method. A new approach for transforming BEM domain integrals to the boundary, Engineering Analysis with Boundary Elements, 6, 164-167.
    Search in Google Scholar
  11. 11. Partridge P. W., Brebbia C. A., Wrobel L. C. (1992), The dual reciprocity boundary element method, Computational Mechanics Publications, Southampton.10.1007/978-94-011-3690-7
    Search in Google Scholar
  12. 12. Tanaka M., Matsumoto T., Yang Q. F. (1994), Time-stepping boundary element method applied to 2-D transient heat conduction problems, Applied Mathematical Modelling, 18, 569–576.10.1016/0307-904X(94)90142-2
    Search in Google Scholar
  13. 13. Warren R. E., Spark M. (1979), Laser heating of a slab having temperature-dependent surface absorption, J. Appl. Phys., 50, 7952-7958.
    Search in Google Scholar
  14. 14. Xiaokun Z., Rui D., Hua W. (2011), A VBCM-RBF based meshless method for large deflection of thin plates, International Conference on Multimedia Technology (ICMT), Hangzhou, 2380-2384.
    Search in Google Scholar
  15. 15. Yanez A., Alvarez J. C., Lopez A. J., Nicolas G., Perez J. A., Ramil A., Saavedra E. (2002), Modelling of temperature evolution on metals during laser hardening process, J. Appl. Surf. Sci., 186, 611-616.
    Search in Google Scholar
  16. 16. Zieniuk E. (2013), Computational method PIES for solving boundary value problems (in Polish), Polish Scientific Publishers PWN, Warsaw.
    Search in Google Scholar
  17. 17. Zieniuk E., Sawicki D., Bołtuć A. (2014), Parametric integral equations systems in 2D transient heat conduction analysis, International Journal of Heat and Mass Transfer, 78, 571–587.10.1016/j.ijheatmasstransfer.2014.07.016
    Search in Google Scholar
DOI: https://doi.org/10.1515/ama-2015-0028 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Journal RSS Feed
Language: English
Page range: 167 - 172
Submitted on: Apr 11, 2015
Accepted on: Oct 28, 2015
Published on: Nov 7, 2015
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year
Keywords:
PIES Method,
Transient Heat Transfer,
Laser Heating,
FEM
Related subjects:
Engineering,
Electrical engineering,
Electronics,
Mechanical engineering,
Mechanics,
Bioengineering and biomedical engineering,
Biomechanics,
Civil engineering,
Environmental engineering

© 2015 Dominik Sawicki, Eugeniusz Zieniuk, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous articleVolume 9 (2015): Issue 3 (September 2015)Next article