Litcius/Paper detail

2-D Problem of micropolar thermoelastic rotating medium with eigenvalue approach under the three-phase-lag model

Mohamed I. A. Othman, Ibrahim A. Abbas

2021Waves in Random and Complex Media20 citationsDOI

Abstract

The main objective of this discussion is to introduce the three-phase-lag theory to study the effect of the rotation on a two-dimensional problem of the micropolar thermoelastic isotropic medium. By using normal mode analysis, the exact expression of the displacement components, the stress components, the temperature components and the micro-rotation components was obtained. Numerical solutions of the physical quantities are illustrated graphically and shown in figures by considering the material properties of magnesium crystal-like material with the help of the Matlab program. Some comparisons between the three theories show the different results of these theories and the results obtained by (3PHL) mediate the results obtained by (L-S) and (G-N III) theories in the presence of rotation.

Topics & Concepts

Thermoelastic dampingEigenvalues and eigenvectorsRotation (mathematics)IsotropyMathematicsDisplacement (psychology)Phase (matter)Mathematical analysisPhase lagMechanicsPhysicsThermalThermodynamicsGeometryOpticsPsychologyPsychotherapistQuantum mechanicsThermoelastic and Magnetoelastic PhenomenaNumerical methods in engineeringNonlocal and gradient elasticity in micro/nano structures