Open AccessMathematical Modelling for Semiconductor and Piezoelectric Media
Author(s) -
Ashwani Kumar
Publication year - 2021
Publication title -
asian journal of research and reviews in physics
Language(s) - English
Resource type - Journals
ISSN - 2582-5992
DOI - 10.9734/ajr2p/2021/v4i430147
Subject(s) - transverse isotropy , isotropy , eigenvalues and eigenvectors , piezoelectricity , mathematical analysis , homogeneous , equations of motion , harmonic , matrix (chemical analysis) , classical mechanics , mathematics , semiconductor , physics , materials science , statistical physics , acoustics , optics , quantum mechanics , composite material
In this analysis the importance of mathematical modelling of the physical systems has been outlined. The constitutive relations and basic governing equations of motion for homogeneous isotropic elastic semiconductor (n-type) and homogeneous transversely isotropic ( class) piezoelectric elastic media, in the absence of body forces and electric sources are made non-dimensional in order to reduce the mathematical complexity. All the obtained equations are rewritten in matrix form. Then considering the harmonic wave solution the eigen values and eigen vectors are calculated to obtained the formal solution of the problem.