Abstract
A mathematical model for solid-state chemical transformation under uniaxial mechanical loading is proposed which takes into account the coupling of strain and temperature fields and the dependence of the chemical reaction rate on the strain work. A parametric investigation of the model is performed. It is shown that the stresses and strains occurring during the transformation significantly impact the process dynamics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Y. D. Tret’yakov, “Solid-state reactions,” Soros. Obraz. Zh., No 4, 35–39 (1999).
A. P. Chupakhin., A. A. Sidel’nikov, and V. V. Boldyrev, “Impact of mechanical stresses occurring in solid state transformations on their kinetics: I. General method,” Izv. Sib. Otd. Akad. Nauk, Ser. Khim. Nauk, No. 17, issue 6, 31–38 (1985).
V. V. Podlesov, A. V. Radugin, A. M. Stolin, and A. G. Merzhanov, “Technological foundations of SHS extrusion,” Inzh.-Fiz. Zh., 63, No. 5, 525–537 (1992).
V. K. Smolyakov and O. V. Lapshin, “Formation of the macroscopic structure of the product of SHS under compaction,” Combust., Expl., Shock Waves, 38, No. 2, 148–156 (2002).
D. P. Kiryukhin, I. M. Barkalov, and V. I. Gol’danskii, “Kinetics of low-temperature radiation chlorination of butyl chloride during matrix devitrification,” Khim. Vysok. Énerg., 11, No. 6, 438–442 (1977).
V. E. Ovcharenko and O. V. Lapshin, “Self-propagating high-temperature synthesis of a Ni3Al intermetallic compound under compression,” Combust., Expl., Shock Waves, 38, No. 6, 670–674 (2002).
V. K. Smolyakov, “Production of low-porosity products by forced self-propagating high-temperature synthesis-compaction,” Combust., Expl., Shock Waves, 34, No. 4, 405–410 (1998).
A. M. Stolin, L. S. Stelmakh, G. S. Baronin, and K. V. Shapkin, “Mathematical modeling of rheodynamics of piston extrusion of polymer materials,” Vestn. Tomsk. Gos. Tekh. Univ., 13, No. 3, 747–754 (2007).
O. B. Kovalev, A. P. Petrov, and V. M. Fomin, “Combustion of a composite solid propellant under conditions of static mechanical tensile stresses,” Combust., Expl., Shock Waves, 29, No. 4, 457–444 (1993).
O. B. Kovalev, A. P. Petrov, and V. M. Fomin, “On the effect of the stress-strain state on the burning rate of heterogeneous condensed systems,” Dokl. Ross. Akad. Nauk, 328, No. 6, 709–712 (1993).
B. A. Boley and J. H. Winer, Theory of Thermal Stresses, Wiley, New York (1960).
A. Knyazeva, “Ignition of crystalline explosives,” Combust., Expl., Shock Waves, 37, No. 3, 331–340 (2001).
M. E. Brown, D. Dollimore, and A. K. Galway, Reactions in the Solid State, Elsevier, Amsterdam (1980).
B. Delmon, Introduction a la Cinétique Hétérogéne, Rue Nélaton, Paris (1969).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Fizika Goreniya i Vzryva, Vol. 46, No. 3, pp. 75–83, May–June, 2010.
Rights and permissions
About this article
Cite this article
Evstigneev, N.K., Knyazeva, A.G. Model of nonstationary propagation of a solid-state chemical transformation under uniaxial loading. Combust Explos Shock Waves 46, 307–314 (2010). https://doi.org/10.1007/s10573-010-0043-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10573-010-0043-3