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A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

Samia M. Said, Mohamed I. A. Othman, Mohamed G. Eldemerdash

2022Multidiscipline Modeling in Materials and Structures22 citationsDOI

Abstract

Purpose In the present article, the three-phase-lag (3PHL) model and the Green-Naghdi theory of types II, III with memory-dependent derivative is used to study the effect of rotation on a nonlocal porous thermoelastic medium. Design/methodology/approach In this study normal mode analysis is used to obtain analytical expressions of the physical quantities. The numerical results are given and presented graphically when mechanical force is applied. Findings The model is illustrated in the context of the Green-Naghdi theory of types II, III and the three-phase lags model. Expressions for the physical quantities are solved by using the normal mode analysis and represented graphically. Originality/value Comparisons are made with the results predicted in the absence and presence of the rotation as well as a nonlocal parameter. Also, the comparisons are made with the results of the 3PHL model for different values of time delay.

Topics & Concepts

Thermoelastic dampingRotation (mathematics)Context (archaeology)Porous mediumDerivative (finance)Mathematical analysisMaterial derivativeMode (computer interface)MathematicsPhase lagMechanicsPorosityPhysicsMaterials scienceGeometryThermodynamicsComputer scienceGeologyThermalOperating systemComposite materialEconomicsFinancial economicsPaleontologyThermoelastic and Magnetoelastic PhenomenaNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineering
A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative | Litcius