Abstract
The generalized thermoelastic problem of a thick-walled simply-supported beam subjected to different applied heat source and mechanical loads at its surfaces is studied. The thermoelastic coupling differential equations of motion of the beam are established. The generalized thermoelasticity based on the dual-phase-lags (DPLs) theory is considered to treat this problem. An exact 2-D coupled solution is presented to deduce analytical expressions for the temperature, displacements and stresses. The time-harmonic motion behavior as well as the thermal and mechanical conditions at the bounded faces of the beam is used for this purpose. The effect of the DPLs on the field quantities against the axial and normal directions of the beam under thermomechanical loads is discussed. Final investigations to various thermoelastic models are made.
Highlights
A literature review reveals that many generalized theories of thermoelasticity have been developed to study the behavior of thermoelastic structures. These theories can be classified in different models, such as the theory of coupled thermoelasticity (CTE) [3], the Lord and Shulman (L-S) theory [13], the Green and Lindsay (G-L) theory [8], the Green and Naghdi (G-N) theory [9, 10, 11] as well as the Tzou dual-phase-lag (DPL) thermoelasticity theory [21, 22, 23]
Jiangong and Tonglong [12] have used the G-N generalized thermoelastic theory without energy dissipation to investigate the propagation of thermoelastic waves in orthotropic spherical curved plates subjected to stress-free, isothermal boundary conditions
The model of generalized thermoelasticity with dual-phaselags is constructed and other known thermoelastic models may be considered as special cases
Summary
A literature review reveals that many generalized theories of thermoelasticity have been developed to study the behavior of thermoelastic structures. Many investigators have used different forms of the normal mode analysis to obtain the exact analytical solutions of various thermoelastic problems [1, 8, 9, 10, 11, 19, 21, 22, 23, 28] Most of these publications have used the Laplace transformation to eliminate the time parameter. The 3-D problem for a homogeneous, isotropic and thermoelastic halfspace subjected to a time-dependent heat have been considered by Sarkar and Lahiri [18] They assumed that the boundary of the space is traction free and treat this problem in the context of G-N model II of thermoelasticity without energy dissipation. Numerical results showing the thermoelastic dynamic responses of the field quantities through the axial and thickness directions of the beam are presented
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
