A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method

Al-Furjan, M.S.H.; Safarpour, Hamed; Habibi, Mostafa; Safarpour, Mehran; Tounsi, Abdelouahed

doi:10.1007/s00366-020-01088-7

Cited by 100 publications

(16 citation statements)

References 102 publications

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“…The thermal buckling of FG coated cylindrical shell was found to be increased as the coating thickness increases (Han et al , 2017). Al-Furjan et al (2020) performed buckling and post-buckling analysis on a disk by using von Karman’s non-linear plate theory. In the area of sandwich plates, under thermal environment several studies have been performed such as: buckling analysis using virtual work principle (Refrafi et al , 2020), bending analysis using n th-order shear deformation theory (Boussoula et al , 2020), static and free vibration analysis using first shear deformation theory and Hamilton’s principle (Bendenia et al , 2020).…”

Section: Introductionmentioning

confidence: 99%

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Madan

Bhowmick

2021

AEAT

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Purpose The purpose of this study is to investigate Thermo-mechanical limit elastic speed analysis of functionally graded (FG) rotating disks with the temperature-dependent material properties. Three different material models i.e. power law, sigmoid law and exponential law, along with varying disk profiles, namely, uniform thickness, tapered and exponential disk was considered. Design/methodology/approach The methodology adopted was variational principle wherein the solution was obtained by Galerkin’s error minimization principle. The Young’s modulus, coefficient of thermal expansion and yield stress variation were considered temperature-dependent. Findings The study shows a substantial increase in limit speed as disk profiles change from uniform thickness to exponentially varying thickness. At any radius in a disk, the difference in von Mises stress and yield strength shows the remaining stress-bearing capacity of material at that location. Practical implications Rotating disks are irreplaceable components in machinery and are used widely from power transmission assemblies (for example, gas turbine disks in an aircraft) to energy storage devices. During operations, these structures are mainly subjected to a combination of mechanical and thermal loadings. Originality/value The findings of the present study illustrate the best material models and their grading index, desired for the fabrication of uniform, as well as varying FG disks. Finite element analysis has been performed to validate the present study and good agreement between both the methods is seen.

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Section: Introductionmentioning

confidence: 99%

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Madan

Bhowmick

2021

AEAT

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“…The analytical outcomes were achieved by the implementation of the Navier's technique. Al-Furjan et al [20] studied on the buckling treatment and the post-critical response of FG GPLRC disks bonded with an actuator layer on a nonlinear elastic foundation in the framework of a third-order shear deformation theory. They demonstrated that the post-critical deflection of the disk treats sinusoidally by the variation of the outer to the inner radius proportion of the disk when the elastic foundation impression is taken into account.…”

Section: Introductionmentioning

confidence: 99%

Mechanical buckling analysis of functionally graded composite laminated plates reinforced with temperature dependent graphene sheets resting on elastic foundation

2021

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Present study aims to investigate the mechanical buckling including the shear buckling and the in-plane mechanical buckling of composite laminated plates reinforced with graphene sheets with temperature dependent features resting on Winkler-Pasternak elastic foundation in a thermal ambient. The governing equations in the framework of the first order shear deformation theory are attacked by the Ritz method. The plate is subjected to uniaxial, biaxial and shear loads. The innovation of the present paper is considering the temperature dependency and anisotropicity of the material properties of a nanocomposite layer that reinforced with graphene sheets for the purpose of the determination of the mechanical buckling treatment of a graphene reinforced composite (GRC) laminated plate with different boundary condition types. Resorting to the extended Halpin-Tsai micromechanical model, the thermo-mechanical characteristics of a lamina is defined. Numerical outcomes of the present study are confirmed with the presented data in the literature. The effects of the elastic foundation parameter, the temperature, the plate side to its thickness ratio, the layup scheme, the boundary condition type and the distribution pattern of graphene-reinforced composites on the critical buckling load are investigated. It is found that, the impact of elastic foundation incorporation is less visible on the critical shear buckling load rather than the critical uniaxial and biaxial mechanical loads. Moreover, the largest critical buckling load belongs to layup [0] 10 among the all under studied lamination schemes.

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“…Khordad et al [36] have investigated the effects of the Rashba spin-orbit interaction and applied magnetic field on thermodynamic properties of a quasi-one-dimensional quantum wire at low temperatures. There are also some studies investigating thermal, and magnetic effects on other type of structures [37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of a charged particle in non-uniform magnetic field

2021

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We solve the Schrödinger equation for a charged particle in the non-uniform magnetic field by using the Nikiforov-Uvarov method. We find the energy spectrum and the wave function, and present an explicit relation for the partition function. We give analytical expressions for the thermodynamic properties such as mean energy and magnetic susceptibility, and analyze the entropy, free energy and specific heat of this system numerically. It is concluded that the specific heat and magnetic susceptibility increase with external magnetic field strength and different values of the non-uniformity parameter, α, in the low temperature region, while the mentioned quantities are decreased in high temperature regions due to increasing the occupied levels at these regions. The non-uniformity parameter has the same effect with a constant value of the magnetic field on the behavior of thermodynamic properties.On the other hand, the results show that transition from positive to negative magnetic susceptibility depends on the values of non-uniformity parameter in the constant external magnetic field.

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A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method

Cited by 100 publications

References 102 publications

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Mechanical buckling analysis of functionally graded composite laminated plates reinforced with temperature dependent graphene sheets resting on elastic foundation

Thermodynamic properties of a charged particle in non-uniform magnetic field

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