Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law
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https://doi.org/10.58414/SCIENTIFICTEMPER.2024.15.2.27Keywords:
'Hygrothermoelastic', 'dual-phase lag', 'circular plate', 'integral transform approach', 'fractional calculas', 'numerical results'Dimensions Badge
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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 mechanismAbstract
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