A generalized thermoelastic dual-phase-lagging response of thick beams subjected to harmonically varying heat and pressure
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Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafreelsheikh, Egypt
Submission date: 2017-04-12
Acceptance date: 2017-07-03
Online publication date: 2018-01-15
Publication date: 2018-01-15
Journal of Theoretical and Applied Mechanics 2018;56(1):15-30
The generalized thermoelastic problem of a thermo-mechanically loaded beam is studied. The upper surface of the beam is thermally isolated and subjected to a mechanical load while the bottom surface is traction free and subjected to a heating source. Based on the heat conduction equation containing the thermoelastic coupling term and the two-dimensional elasticity theory, thermoelastic coupling differential equations of motion are established. The generalized thermoelasticity theory with the dual-phase-laggings (DPLs) model is used to solve this problem. A closed-form analytical technique is used to calculate vibration of displacements and temperature. The effects of the phase-laggings (PLs), the intensity of the applied load and heat parameters on the field quantities of the beam are discussed. The variation along the axial direction and through-the-thickness distributions of all fields are investigated. Some comparisons have been also shown graphically to estimate the effects of the time on all the studied fields.
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