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 inMathematical 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
LanguageEnglish
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