Thermomechanical Effects of Radiation Origin in Microelectronic Products

A mathematical model of the thermomechanical effect of penetrating radiation on a microelectronic product is presented. The model is based on the thermoelasticity equations, which are a consequence of the quantum kinetic equations for phonons. Heat transfer is described by the law of conservation of...

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Bibliographic Details
Published in:	Mathematical models and computer simulations Vol. 14; no. 5; pp. 727 - 735
Main Authors:	Volkov, Yu. A., Vyrostkov, M. Yu, Markov, M. B., Tarakanov, I. A.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 2022 Springer Nature B.V
Subjects:	Energy conservation law Energy distribution Energy flow Kinetic equations Lattice vibration Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Microelectronics Radiation effects Simulation and Modeling Thermal shock Thermoelasticity Thermomechanical analysis penetrating radiation phonons thermal conductivity thermoelasticity difference scheme thermal shock
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Summary:	A mathematical model of the thermomechanical effect of penetrating radiation on a microelectronic product is presented. The model is based on the thermoelasticity equations, which are a consequence of the quantum kinetic equations for phonons. Heat transfer is described by the law of conservation of energy and the Cattaneo equation, which takes into account the finiteness of the rate of heat propagation. Lattice vibrations are considered in the approximation of the linear theory of elasticity. In general, the model determines the distribution of temperature, energy flow, strain, and stress. Difference schemes for solving model equations are developed. The efficiency of the developed model is verified by solving the problem of thermal shock.
ISSN:	2070-0482 2070-0490
DOI:	10.1134/S2070048222050179