Thermodiffusion in periodically layered elastic composites

• Autorzy: Kaczyński A. , Matysiak S. J.

Warianty tytułu

PL

Termodyfuzja w periodycznie warstwowych sprężystych kompozytach

• Języki publikacji: EN

Abstrakty

EN

The paper deals with modelling of thermodiffusion processes in periodically layered elastic composites. The study is based on the homogenized procedure with microlocal parameters and on the relations of the linear coupled theory of diffusion in thermoelastic homogeneous bodies. A useful homogenized model with microlocal parameters accounting for certain local effects of heat and diffusion fluxes, as well as stresses is derived. The equations of the homogenized model are given in terms of unknown macroconcentration, macrotemperature and macrodisplacements and extra unknowns called the microlocal parameters. An illustrating example of the application of the presented model is solved.

PL

W pracy rozważano zagadnienie modelowania procesu dyfuzji w periodycznie warstwowych sprężystych kompozytach. Rozważania oparto na procedurze homogenizacyjnej z parametrami mikrolokalnymi i na liniowej teorii dyfuzji dla jednorodnych ciał termosprężystych. Wyprowadzony został zhomogenizowany model z parametrami mikrolokalnymi uwzględniający pewne lokalne efekty dla strumieni dyfuzji i ciepła oraz naprężeń. Rozwiązano również przykład ilustrujący zastosowania wyprowadzonego modelu.

Słowa kluczowe

EN

thermodiffusion; elasticity; layered composite; concentration; temperature; displacement

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2002
• Tom: Vol. 40 nr 1
• Strony: 85--100
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Kaczyński A.

• Faculty of Mathematics and Information Science, Warsaw University of Technology

autor

Matysiak S. J.

• ---

Bibliografia

• 1. ACHRNBACH J.D., 1975, A Theory of Elasticity with Microstucture for Directionally Reinforced Composites. OISM Courses and Lectures, Springer, New York
• 2. BAKHAI ov N.S., PANASENKO G.P., 1984, Averaged Processes in Periodic Media, Nauka, Moscow (in Russian)
• 3. BENSONSSAN A.. LIONS J.L., PAPANTCOLAOU G., 1978, Asymptotic Analysis for Periodic Structures, North Holland, Amsterdam
• 4. BROUTMAN L. J., KROCK R.H., (edit.), 1973-76, Composite Materials, Academic Press, New York, Vol.1-8
• 5. CHRISTENSEN R.M., 1980, Mechanies of Composite Materials, J, Wiley and Sons, New- York
• 6. Guz A.N. ET AL., 1982, Mechanies of Composite Materials and Elements of Constructions, Naukowa Dumka, Kiev, (in Russian)
• 7. JONES R., 1975, Mechanies of Composite Materials, McGraw-Hill Book Co., New York
• 8. KUBIK J., 1986, Thermodiffusion in viscoelastic solids, Studia Geot. Mech., VII, 29- 47
• 9. MATYSIAK S.J., MIESZKOWSKI R... 1999, On homogenization of diffusion processes in microperiodic stratified bodies, Int. Gamm. Heat Mass Transfer, 26, 4, 539-547
• 10. MATYSIAK S.,1., MIESZKOWSKI R., 2000, On the modelling of diffusion processes in periodically stratified bodies, Int. J. Engng. Sci., 39, 491-501
• 11. MATYSIAK S.J., WOŹNIAK C, 1988, On the microloeal modelling of thermoelastic composites., J. Techn. Phys., 29, 85-97
• 12. NOWACKI W., 1971, CERTA IN PROBLEM OF TBERMODIFFUSION IN SOLIDS, Arch. Mech. Stos., 26, 731-755
• 13. NOWACKI W., 1974, DYNAMICAL PROBLEMS OF THERMODIFFUSION IN ELASTIC SOLIDS, I, II, Buli Acad. Pol. Sci . Tech., 22, 55-64, 205-211
• 14. NOWACKI W., OLESIAK Z., 1991, Thermodiffusion in Solids, PWN Warsaw, (in Polish)
• 15. OLESIAK Z.S., PYRYEY Y.A., 1995, A coupled quasistationary problem of thermodiffusion for an elastic cylinder, Int. J. Engng. Sci., 15, 6, 773-780
• 16. PlDSTRYGACH Y.S., 1961, Differential equations of thermodiffnsion for deformable solids, Dop. Acad. of Science of Ukraine, 169-171, (in Ukrainian)
• 17. PIDSTRY ACH Y.S., SHEVTHYK P.R., 1969, Variational form of equtions of the thermodiifusion processes in deformable solids, J- Appl. Maths. Mechs., 33, 774-776
• 18. PLAYŚIĆ M.. NAERLOVIC-VEWHOVIC N., 1975. Field eąuations for thermodiffusion solids with microstructure, Buli. Pol. Acad.: Sc. Tech., 23, 483-489
• 19. POBEDRIA B.J., 1984, Meehanies of Composite. Materials, Izd. Moscow University (in Russian)
• 20. SANCHEZ-PALENICA E., 1980, Nonhomogeneous Media and Vibration Theory, Springer, Berlin
• 21. TSAI S.W., HAHN H.T., 1980, Introduction to Composite Materials, Technomic Publ. Comp., Westport
• 22. VANIN G.A., 1985, Micromechanics of Composite Materials, Naukowa Dumki, Kiev, (in Russian)
• 23. WOŹNIAK C, WOŹNIAK M., 1995, Modelling of composite dynamics. Theory and applications, IFTR Reports, Warsaw, (in Polish)
• 24. WOŹNIAK C, 1987, A nonstandard method of modelling of thermoelastic periodic composites, Int. J. Engng. Sci., 25, 483-499