Litcius/Paper detail

Thermo‐mechanical interactions in a rotating nonlocal functionally graded transversely isotropic elastic half‐space

M. S. Barak, Priti Dhankhar

2022ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik14 citationsDOI

Abstract

Abstract The current research work deals with the analysis of disturbances induced in a rotating, nonlocal, functionally graded (nonhomogeneous), transversely isotropic thermoelastic half‐space due to the application of a mechanical load in the context of Lord–Shulman theory. Material properties are assumed to be graded along z ‐direction and the normal mode analysis is used to obtain the exact expressions of the normal displacement, stress components, and temperature field. The profiles of field variables are computed numerically and limned graphically. The graphical results indicate that the nonlocal parameter, material's anisotropy, nonhomogeneity parameter, rotation parameter, and time have significant effects on all the physical fields. Certain particular cases of interest have also been deduced from the current investigation.

Topics & Concepts

Transverse isotropyThermoelastic dampingIsotropyAnisotropyRotation (mathematics)Displacement (psychology)PhysicsField (mathematics)Work (physics)Context (archaeology)Mathematical analysisClassical mechanicsStress (linguistics)Mechanical loadMechanicsMathematicsGeometryMaterials scienceThermalOpticsQuantum mechanicsComposite materialMeteorologyPsychotherapistPaleontologyLinguisticsPsychologyPhilosophyPure mathematicsBiologyThermoelastic and Magnetoelastic PhenomenaNumerical methods in engineeringNonlocal and gradient elasticity in micro/nano structures
Thermo‐mechanical interactions in a rotating nonlocal functionally graded transversely isotropic elastic half‐space | Litcius