Applied Mathematics

Volume 2, Issue 5 (May 2011)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

A Problem of a Semi-Infinite Medium Subjected to Exponential Heating Using a Dual-Phase-Lag Thermoelastic Model

HTML  Download Download as PDF (Size: 187KB)  PP. 619-624  
DOI: 10.4236/am.2011.25082    5,026 Downloads   9,317 Views  Citations

Affiliation(s)

.

ABSTRACT

The problem of a semi-infinite medium subjected to thermal shock on its plane boundary is solved in the context of the dual-phase-lag thermoelastic model. The expressions for temperature, displacement and stress are presented. The governing equations are expressed in Laplace transform domain and solved in that domain. The solution of the problem in the physical domain is obtained by using a numerical method for the inversion of the Laplace transforms based on Fourier series expansions. The numerical estimates of the displacement, temperature, stress and strain are obtained for a hypothetical material. The results obtained are presented graphically to show the effect phase-lag of the heat flux and a phase-lag of temperature gradient on displacement, temperature, stress.

Share and Cite:

Abouelregal, A. (2011) A Problem of a Semi-Infinite Medium Subjected to Exponential Heating Using a Dual-Phase-Lag Thermoelastic Model. Applied Mathematics, 2, 619-624. doi: 10.4236/am.2011.25082.

Cited by

[1] Non-integer order analysis of electro-magneto-thermoelastic with diffusion and voids considering Lord–Shulman and dual-phase-lag models with rotation and gravity
Dahab, AM Abd-Alla… - Waves in Random …, 2022
[2] Thermoelastic Response Induced by Volumetric Absorption of Uniform Laser Radiation in a Half-Space
2020
[3] Generalized functionally graded thermoelastic layer under the effect of volumetric absorption of laser radiation
2020
[4] Dual‐phase‐lag model on magneto‐thermoelastic rotating medium with voids and diffusion under the effect of initial stress and gravity
2020
[5] Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models
2019
[6] Generalized thermoelasticity with diffusion and voids under rotation, gravity and electromagnetic field in the context of four theories
2019
[7] Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model
Strength of Materials, 2018
[8] Temperature Dependence of the Elastic Modulus in Three-Dimensional Generalized Thermoelasticity with Dual-Phase-Lag Effects
Computational Mathematics and Modeling, 2017
[9] Investigation on some recent non-fourier heat conduction models for coupled dynamical thermo-mechanical problems
2017
[10] Effect of “the thermal piston” in a dynamic thermoelastic problem
International Journal of Heat and Mass Transfer, 2015
[11] Dispersion analysis of two-phase generalized model of dynamic thermoelastisity
Mechanics-Seventh Polyakhov's Reading, 2015 International Conference on, 2015
[12] The Effect of Thermal Loading Due to Laser Pulse in Generalized Thermoelastic Medium with Voids in Dual Phase Lag Model
Journal of Thermal Stresses, 2015
[13] Dual-Phase-Lag Model on Thermoelastic Interactions in a Semi-Infinite Medium Subjected to a Ramp-Type Heating
Journal of Computational and Theoretical Nanoscience, 2014
[14] Dual Phase-Lag Thermoelasticity
Encyclopedia of Thermal Stresses, 2014
[15] Generalized thermoelastic infinite transversely isotropic body with a cylindrical cavity due to moving heat source and harmonically varying heat
Meccanica, 2013
[16] Effect of rotation on micropolar generalized thermoelasticity with two temperatures using a dual-phase lag model
Canadian Journal of Physics, 2013

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.