THERMAL SCIENCE

International Scientific Journal

External Links

ON HEAT CONDUCTION IN PERIODICALLY STRATIFIED COMPOSITES WITH SLANT LAYERING TO BOUNDARIES

ABSTRACT
The paper deals with the modelling of heat conduction in periodically stratified composites with slant layering to boundaries. The relations of the homogenized model with microlocal parameters for the case of layering parallel to the boundary are transformed to conform to requirements of the composite geometry. The plane problem of periodically stratified half-space with slant layering heated by given boundary temperature is solved analytically. The obtained results are analyzed and compared with the solutions for special cases: (1) homogenized half-space, (2) half-space with parallel layering to the boundary, (3) half-space with vertical layering to the boundary.
KEYWORDS
PAPER SUBMITTED: 2012-06-19
PAPER REVISED: 2013-01-14
PAPER ACCEPTED: 2013-02-27
PUBLISHED ONLINE: 2013-04-13
DOI REFERENCE: https://doi.org/10.2298/TSCI120619019M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 1, PAGES [83 - 94]
REFERENCES
  1. Aurialt, J. L., Effective Macroscopic Description for Heat Conduction in Periodic Composites, International Journal of Heat and Mass Transfer, 26 (1983), pp. 861-869
  2. Backhalov, N. S., Panasenko, G. P., Averaged Processes in Periodic Media, Science, Moscow, 1984, (in Russian)
  3. Bedford, A., Stern, M., Toward Diffusing Continuum Theory of Composite Materials, Journal of Applied Mechanics, 38 (1971), pp. 8-14
  4. Bufler, H., Stationary Heat Conduction in a Macro- and Microperiodically Layered Solid, Archives of Applied Mechanics, 70 (2000), pp. 103-114
  5. Furmański, P., Heat Conduction in Composites: Homogenization and Macroscopic Behavior, Applied Mechanics Reviews, 50 (1997), pp. 327-356
  6. Ignaczak, J., Baczyński, Z. F., On a Refined Heat-conduction Theory of Microperiodic Layered Solids, Journal of Thermal Stresses, 20 (1997), pp. 749 - 771
  7. Woźniak, Cz., A Nonstandard Method of Modeling of Thermoelastic Composites, International Journal of Engineering Science, 25 (1987), pp. 483-499
  8. Maewal, A., Homogenization for Transient Heat Conduction, ASME Journal of Applied Mechanics, 46 (1979), pp. 945-946
  9. Manevith, L. I., Adrianov, I. V., Osmyan, V. G., Mechanics of Periodically Layered Heterogenous Structures, Springer, Berlin, 2002
  10. Matysiak, S. J., Woźniak, Cz., On the Modelling of Heat Conduction Problem in Laminated Bodies, Acta Mechanica, 65 (1986), pp. 223-238
  11. Woźniak, Cz., Wierzbicki, E., Averaging Techniques in Thermomechanics of Composite Solids. Tolerance Averaging Versus Homogenization, Wydawnictwo Politechniki Częstochowskiej, Częstochowa, 2000
  12. Matysiak, S. J., Yevtushenko, A. A., Ivanyk, E. G., Temperature Field in a Microperiodic Two - layered Composite Caused by a Circular Laser Heat Source, Heat and Mass Transfer, 34 (1998) pp. 127-133
  13. Matysiak, S. J., Yevtushenko, A. A., Konieczny, S., Distribution of Friction Heat During Cold - rolling of Metals by Using Composite Rolls, Numerical Heat Transfer, Part A, 34 (1998), pp. 719-729
  14. Matysiak, S. J., Pauk, V., Plane Contact Problem for Periodic Laminated Composite Involving Frictional Heating, Archive of Applied Mechanics, 66 (1995), pp. 82 - 89
  15. Kaczyński, A., Matysiak,,S. J., On the Three Dimensional Problem of an Interface Crack Under Uniform Heat Flow in a Bimaterial Periodically-layered Space, International Journal of Fracture, 123 (2003), pp. 127-138
  16. Kaczyński, A., Matysiak, S. J., Thermal Stresses in a Laminate Composite with a Row of Interface Cracks, International Journal of Engineering Science, 27 (1989), pp. 131-147
  17. Matysiak, S. J., Yevtushenko, A. A., Kuciej, M., Temperature Field in the Process of Braking of a Massive Body with Composite Coating, Materials Sciences, 43 (2007), pp. 62-69
  18. Kulchytsky - Zhyhailo, R., Matysiak, S. J., On Heat Conduction Problem in a Semi-infinite Periodically Laminated Layer, International Communications in Heat and Mass Transfer, 32 (2005), pp. 123-132
  19. Kulchytsky - Zhyhailo, R., Matysiak, S. J., On Some Heat Conduction Problem in a Periodically Two-layered Body: Comparative Results, International Communications in Heat and Mass Transfer, 32 (2005), pp. 332-340
  20. Matysiak, S. J., Perkowski, D. M., On Heat Conduction in a Semi-infinite Laminated Layer. Comparative Results for Two Approaches, International Communications in Heat and Mass Transfer, 37 (2010), pp. 343-349
  21. Gradshteyn, I. S., Ryzhik, I. M., Tables of Integrals, Series and Products, Science, Moscow, (1971), (in Russian)

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence