Mean value and bounding formulae for heat conduction problems

• Autorzy: Ecsedi I.
• Języki publikacji: EN

Abstrakty

EN

Some mean value formulae and bounds on the thermal energy for the steady-state heat conduction problems are proven. The formulation is based on the analogy which exists between the linear elasticity and heat conduction. The formalism of the applied analogy follows the Wojnar's approach. Some examples illustrate the applications of the theorems derived.

Słowa kluczowe

EN

heat conduction; Wojnar's approach; mean value formulae; linear elasticity; thermal energy; heat flux

PL

liniowa sprężystość; przewodność cieplna; podejście Wojnar'a; ciepło; strumień ciepła

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2002
• Tom: Vol. 54, nr 2
• Strony: 127--140
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Ecsedi I.

• Department of Mechanics, University of Miskolc, 3515 Miskolc-Egyetemvaros,

Bibliografia

• 1. R.. WOJNAR, Upper and lower bounds on heat flux, Journal of Thermal Stresses, 21, 381-403, 1998.
• 2. D.E. GARLSON, Linear thermoelasticity, [in:] S, FLUGGE [Ed.], Handbuch der Physik, vol.VIa/2, Mechanics of Solids II. pp. 297-345, Springer, Berlin 1972.
• 3. G.T. MASE and G. E. MASE, Continuum mechanics, pp. 3-47, CRC Press, London 1999.
• 4. L.E. MALVERN, Introduction to the mechanics of a continuous medium, Prentice-Hall, New York 1969.
• 5. A.I. LURJE, Theory of elasticity (in Russian), Izd. Nauka, Mosco w 1970.
• 6. H.S. CARSLAW and J.C. JAEGER, Conduction of heat in solids, 2nd edition, Clarendon Press, Oxford 1986.
• 7. M.N. OZISIK, Boundary value problems of heat conduction, Dover Publications, Inc., New York 1989.
• 8. M. JACOB, Heat Transfer, Vol I. John Wiley and Sons. Inc., New York 1949.
• 9. M.E. GURTIN, The linear theory of elasticity, [in;] S.FLUGGE [Ed.], Handbuch der Physik, Vol. VIa/2 Mechanics of Solids II, pp. 1-295, Springer, Berlin 1972.