Elastic state of functionally graded curved beam on the plane stress state subject to thermal load

Haskul, Mehmet

doi:10.1080/15397734.2019.1660890

Cited by 16 publications

(3 citation statements)

References 49 publications

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“…where = ℎ 12 ⁄ is the moment of inertia of the cross-section about the -axis, and is the thermal moment of the beam about the -axis which is given by [42,[50][51][52]:…”

Section: Problem Formulationmentioning

confidence: 99%

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Youssef¹,

El-Bary²,

Atef³

et al. 2020

J. vibroeng.

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In the present paper, the analysis for thermoelastic homogeneous isotropic microbeams has been constructed. A generalized viscothermoelasticity theory of one relaxation time with variable thermal conductivity in the context of damage mechanics definition has been applied based on simply supported conditions for aspect ratios. Laplace transform has been applied for the governing differential equations, and its inverse has been carried out by using the Tzou method. Microbeam of silicon nitride has been considered when it is subjected to ramp-type heating and simply supported. The results have been illustrated in figures to stand on the impacts of the viscothermoelastic parameter, the thermal conductivity parameter, the value of the beam thickness, and the ramp-type heating parameter. The influences of the mentioned parameters are significant on all the studied functions, and the ramp-type heating parameter plays a vital role in thermodynamically damping of the energy which has been generated on the beam.

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“…where = ℎ 12 ⁄ is the moment of inertia of the cross-section about the -axis, and is the thermal moment of the beam about the -axis which is given by [42,[50][51][52]:…”

Section: Problem Formulationmentioning

confidence: 99%

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Youssef¹,

El-Bary²,

Atef³

et al. 2020

J. vibroeng.

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show abstract

“…Bhoyar et al [37] performed the thermoelastic analysis of an isotropic homogeneous multistacked elliptical in the context of the time-fractional derivative using a quasi-orthogonality relationship by modifying Vodicka's method and the Laplace transformation. Using von Mises' yield criterion, Haskul [38,39] has developed analytical solutions for the stresses and displacements of a functionally graded, cylindrically curved beam subjected to a radial heat load. Haskul et al [40,41] studied the elastic stress response of a thick-walled, cylindrically curved panel subjected to a radial temperature gradient under the assumption of generalized plane strain according to both Tresca and von Mises yield criteria.…”

Section: Introductionmentioning

confidence: 99%

Thermally-Induced Stresses in a Pre-Buckling State of a Circular Plate within the Fractional-Order Framework

DHAMEJA¹,

Khalsa²,

Varghese³

2023

International Journal of Thermodynamics

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This paper considers a transient thermoelastic problem in an isotropic homogeneous elastic thin circular plate with clamped edges subjected to thermal load within the fractional-order theory framework. The prescribed ramp-type surface temperature is on the plate's top face, while the bottom face is kept at zero. The three-dimensional heat conduction equation is solved using a Laplace transformation and the classical solution method. The Gaver–Stehfest approach was used to invert Laplace domain outcomes. The thermal moment is derived based on temperature change, and its bending stresses are obtained using the resultant moment and resultant forces per unit length. The results are illustrated by numerical calculations considering the material to be an Aluminum-like medium, and corresponding graphs are plotted.

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“…Functionally graded materials can avoid destruction because of the gradual change in the material properties. Recently, Haskul [1,2] obtained analytical solutions for the stresses and displacements of a functionally graded cylindrically curved beam subjected to a heat load in the radial direction using von Mises' yield criterion. Haskul et al [3,4] investigated the elastic stress response of a thick-walled cylindrically curved panel subjected to a radial temperature gradient under the assumption of generalized plane strain according to both yield criteria, Tresca and von Mises.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis For A Thick Plate Under The Radiation Boundary Conditions

DHAMEJA¹,

Khalsa²,

Varghese³

2023

International Journal of Thermodynamics

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A fractional Cattaneo model for studying the thermoelastic response for a finite thick circular plate with source function is considered. The thick plate is subjected to radiation-type boundary conditions on the upper and lower surfaces, and its curved surface is kept at zero temperature. The theory of integral transformations is used to solve the generalized fractional Cattaneo-type, classical Cattaneo-Vernotte and Fourier heat conduction model. The analytical expressions of displacement components using thermoelastic displacement potentials; and thermal-stress distribution are computed and depicted graphically. The effects of the fractional-order parameter and the relaxation time on the temperature fields and their thermal stresses are investigated. The findings show that the higher the fractional-order parameter, the higher the thermal response. The greater the relaxation period, the longer the heat flux propagates on thick structures.

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Elastic state of functionally graded curved beam on the plane stress state subject to thermal load

Cited by 16 publications

References 49 publications

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Thermally-Induced Stresses in a Pre-Buckling State of a Circular Plate within the Fractional-Order Framework

Thermoelastic Analysis For A Thick Plate Under The Radiation Boundary Conditions

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