The Algorithm for Modeling Radiation Thermomechanical Effects in Cattaneo Approximation

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

Publication language:russian,
pages:12

Research direction:

Mathematical modelling in actual problems of science and technics