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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2010 Volume 51, Issue 3, Pages 24–31 (Mi pmtf1598)

This article is cited in 2 papers

Solid-phase combustion in a plane stress state. 2. Stability to small perturbations

A. G. Knyazeva

Institute of Strength Physics and Material Science, Siberian Division, Russian Academy of Sciences, Tomsk, 634021, Russia

Abstract: Stability of a plane reaction front in the solid phase to small perturbations under conditions of a generalized plane stress state is studied with allowance of the coupled character of heat transfer and deformation processes and possible changes in the reaction rate under the action of internal stresses without external mechanical loading. The problem is solved analytically by the method of perturbations. Conditions of the loss of stability of various conversion regimes in some limiting cases are studied for different technological and physical parameters.

Keywords: plane reaction front, stability of conversion regimes, generalized plane stress state.

UDC: 536.46+531

Received: 19.05.2009


 English version:
Journal of Applied Mechanics and Technical Physics, 2010, 51:3, 317–323


© Steklov Math. Inst. of RAS, 2024