Litcius/Paper detail

The gravitational field effect on a micro-elongated thermoelastic layer under a fluid load with two theories

Mohamed I. A. Othman, Mohamed F. Ismail

2022Multidiscipline Modeling in Materials and Structures16 citationsDOI

Abstract

Purpose This paper aims to study the gravity effects on a micro-elongated thermoelastic layer under a fluid load, utilizing the Lord–Shulman (L-S) theory and the dual-phase-lag (DPL) model. Design/methodology/approach The analytical method used was the normal mode which partial differential equations transform into ordinary differential equations. Findings Aluminum epoxy numerical computations are carried out, and the results are graphed. The DPL model and the L-S theory are compared in the complete absence and presence of gravity. Comparisons were also made for three values of and it is observed that the gravity has quite a massive influence on all physical quantities. Originality/value In the present paper, the authors shall create the general equation for the energy equation, which includes the two theories (DPL and L-S) as well as the solution of micro-elongated thermoelasticity under fluid load. The problem is pretty important in many dynamical systems.

Topics & Concepts

Thermoelastic dampingOrdinary differential equationGravitational fieldComputationDifferential equationExtension (predicate logic)Mathematical analysisMechanicsGravitationField (mathematics)PhysicsField equationMathematicsClassical mechanicsComputer scienceThermalThermodynamicsPure mathematicsProgramming languageAlgorithmThermoelastic and Magnetoelastic PhenomenaNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineering