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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2018 108, 12 pp. (Mi ipmp2467)

This article is cited in 2 papers

The algorithm for modeling radiation thermomechanical effects in Cattaneo approximation

Yu. A. Volkov, K. K. Inozemtseva, M. B. Markov, I. A. Tarakanov


Abstract: The effect of ionizing radiation on a micro-electronics product is considered. The propagation of heat and mechanical stresses is presented as a single process for the transport of crystal lattice phonons, conduction electrons, and holes of the valence band. A related model based on the equations of thermoelasticity is formulated. The transport of heat is described by the law of conservation of energy and the Cattaneo equation, a consequence of the kinetic equation for phonons. Lattice vibrations are considered in the approximation of the linear theory of elasticity. Difference schemes for solving model equations are developed.

Keywords: ionizing radiation, thermomechanical effect, mathematical model.

DOI: 10.20948/prepr-2018-108



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