A simplified approach for the thermoelastic large deflection in the thin clamped annular sector plate

Dhakate, Tara; Varghese, Vinod; Khalsa, Lalsingh

doi:10.1080/01495739.2017.1361369

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…If we neglect the strain energy due to the second invariant in the middle plane of the plate, then following the modified Berger approximate approach suggested by Dhakate et al (2018), the equations for large deflection in dimensionless form can be given as…”

Section: The Basic Equation Of Large Deflection Formulationmentioning

confidence: 99%

Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law

Sheikh,

Khalsa,

Chandel

et al. 2024

The Scientific Temper

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The coupled fractional dual phase-lag hygrothermoelasticity theory, developed using fractional calculus principles, extends classical Fourier’s and Fick’s laws to a time-fractional differential equation. The concept is applied to a thin circular plate that is exposed to hygrothermal loadings. The finite integral transform method and decoupled technique are utilized to create closed-form expressions for various factors such as temperature, moisture, large deflection, and stresses. The study compares the results of the dual phase-lag model with those of classical and hyperbolic models. The phase-lags parameters play a crucial role in regulating the heat and moisture transfer mechanism

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Section: The Basic Equation Of Large Deflection Formulationmentioning

confidence: 99%

Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law

Sheikh,

Khalsa,

Chandel

et al. 2024

The Scientific Temper

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“…The stress functions   ,   and   in terms of resultant forces and resultant moments are given [23][24] as , ,…”

Section: Thermal Deflection and Thermal Stressesmentioning

confidence: 99%

“…Bhad [23] investigated the thermoelastic problems on an elliptical plate in which interior heat sources are generated within the solid. Dhakate [24] used Berger's approximate methods to determine the large deflection of a heated thin annular sector plate with clamped edges under transient temperature distribution.…”

Section: Introductionmentioning

confidence: 99%

Application of Fractional Order Theory of Thermoelasticity in an Elliptical Disk and Associated Thermal Stresses

Thakare¹,

Panke²,

Hadke³

2020

International Journal of Applied Mechanics and Engineering

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In this article, a time fractional-order theory of thermoelasticity is applied to an isotropic homogeneous elliptical disk. The lower and upper surfaces of the disk are maintained at zero temperature, whereas the sectional heat supply is applied on the outer curved surface. Thermal deflection and associated thermal stresses are obtained in terms of Mathieu function of the first kind of order 2n. Numerical evaluation is carried out for the temperature distribution, Thermal deflection and thermal stresses and results of the resulting quantities are depicted graphically.

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Symmetric and asymmetric thermo-induced buckling and postbuckling of rotating GPLRC annular plates rested on elastic foundation

Yang

Luo

et al. 2022

Engineering Structures

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A simplified approach for the thermoelastic large deflection in the thin clamped annular sector plate

Cited by 5 publications

References 16 publications

Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law

Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law

Application of Fractional Order Theory of Thermoelasticity in an Elliptical Disk and Associated Thermal Stresses

Symmetric and asymmetric thermo-induced buckling and postbuckling of rotating GPLRC annular plates rested on elastic foundation

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