Journal of Theoretical
and Applied Mechanics
56, 1, pp. 15-30, Warsaw 2018
DOI: 10.15632/jtam-pl.56.1.15
and Applied Mechanics
56, 1, pp. 15-30, Warsaw 2018
DOI: 10.15632/jtam-pl.56.1.15
A generalized thermoelastic dual-phase-lagging response of thick beams subjected to harmonically varying heat and pressure
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.
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.
Keywords: thermoelasticity, dual-phase-lag model, two-dimensional elasticity solution