Abstract
A number of problems of the mechanical equilibrium of specimens of various shapes are analyzed. It is shown that coupled problems of heating and initiation of a chemical reaction in a finite body reduce to an ordinary problem of ignition theory that includes new parameters and an additional integral source of heat in the thermal-conductivity equation. Solution of the problem of ignition of a plane layer of finite thickness shows that the character of fixing of the specimen surfaces can have a significant effect on the heating and reaction characteristics in the heated layer.
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References
V. N. Vilyunov,Theory of Ignition of Condensed Materials [in Russian], Nauka, Novosibirsk (1984).
V. S. Eremeev,Diffusion and Stresses [in Russian], Énergoatomizdat, Moscow (1984).
A. G. Knyazeva,Introduction to Locally Equilibrium Thermodynamics of Physicochemical Transformations in Deformable Materials [in Russian], Izd. Tomsk. Univ., Tomsk (1996).
V. Novatskii,Theory of Elasticity [Russian translation from Polish], Mir, Moscow (1975).
Yu. M. Kolyano and Ya. S. Podstrigach,Generalized Thermal Mechanics [in Russian], Naukova Dumka, Kiev (1976).
A. G. Knyazeva, A. M. Timokhin, and E. A. Dyukarev, “Supersonic regimes in solid phase combustion models with regard to thermomechanical processes,” in: V. K. Bulgakov, A. I. Karpov (eds.), Proc. of the 2nd Asia-Oceania Symp. on Fire Science and Technology (Khabarovsk State University of Technology, September 13–17, 1995), Khabarovsk (1995), pp. 210–221.
S. P. Timoshenko and J. Goodier,Theory of Elasticity, McGraw-Hill, New York (1970).
E. Melan and H. Parkus,Wärmespannungen Infolge Stationärer Temperaturfelder, Springer-Verlag, Wien (1953).
A. G. Knyazeva and V. T. Kuznetsov, “Destruction of the surface layer of nitroglycerine powder during ignition at various initial temperatures,Fiz. Goreniya Vzryva,31, No. 4, 10–19 (1995).
A. G. Knyazeva, “Ignition of a solid by a heat flux considering thermal stresses,”Fiz. Goreniya Vzryva,27, No. 5, 28–41 (1991).
A. G. Knyzeva, “Ignition of condensed material by a hot plate with consideration of thermal stresses,”Fiz. Goreniya Vzryva,28, No. 1, pp. 13–18 (1992).
Ya. B. Zel’dovich, “On ignition theory,”Dokl. Akad. Nauk SSSR,150, No. 2, 283–285 (1963).
V. E. Zarko, “Powder ignition by contact methods,” Candidate’s Dissertation in Phys.-Math. Sci., Novosibirsk (1971).
I. S. Lyubchenko, V. I. Lyubchenko, V. V. Matveev, et al., “Ignition of condensed materials of various geometry by a convective heat flux,”Zh. Fiz. Khim.,56, No. 2, 2959–2964 (1982).
V. G. Karnaukhov,Coupled Problems of Thermoviscoelasticity [in Russian], Naukova Dumka, Kiev (1982).
A. D. Kovalenko,Thermoelasticity [in Russian], Naukova Dumka, Kiev (1975).
Yu. A. Klokov and A. P. Mikhailov, “Boundary-value problems for ordinary integrodifferential equations,”Mat. Model.,9, No 7, 91–99 (1997).
A. E. Averson, V. V. Barzykin, and A. G. Merzhanov, “Regularities of ignition of condensed explosive systems with ideal heat exchange on the surface with burnup taken into account,”Inzh.-Fiz. Zh.,9, No. 2, 245–260 (1965).
A. G. Knyazeva and V. E. Zarko, “Modeling of combustion of energetic materials with chemically induced mechanical processes,”Propuls. Power,11, No. 4, 791–803 (1994).
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Translated fromFizika Goreniya i Vzryva, Vol. 36, No. 5, pp. 35–44, September–October, 2000.
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Knyazeva, A.G. Effect of fixing conditions on the heating rate of a specimen. Combust Explos Shock Waves 36, 582–590 (2000). https://doi.org/10.1007/BF02699521
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DOI: https://doi.org/10.1007/BF02699521