Abstract
Based on the Lord and Shulman generalized thermoelasticity theory with one relaxation time, an isotropic semi-infinite plate subjected to a moving heat source has been studied by employing the finite element method directly in time domain, whose distributions of non-dimensional temperature, displacement and stress are illustrated graphically. The results show that the present method is an effective and exact numerical one for solving the thermoelastic coupling problem and is capable of overcoming the defects of traditional integrated transformation and inverse integrated transformation methods. At the same time, the temperature step of the thermal wave front is obtained exactly in contrast with conventional numerical transformation methods.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Lord, H.W. and Shulman, Y., A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 1967, 15: 299–309.
Green, A.E. and Lindsay, F. A., Thermoelasticity. Journal of Elasticity, 1972, 2: 1–7.
Green, A.E. and Naghdi, P.M., Thermoelastocity without energy dissipation. Journal of Elasticity, 1993, 31: 189–208.
Chandrasekharaish, D.S., Thermoelasticity with second sound: A review. Applied Mechanics Review, 1986, 39: 355–376.
Chandrasekharaish, D.S., Hyperbolic thermoelasticity: A review of recent literature. Applied Mechanics Review, 1998, 51: 705–729.
Sarbani, C. and Amitava, C., Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source. International Journal of Mathematics and Mathematical Sciences, 1998, 21(3): 595–602.
He, T.H., Cao, L. and Zhou, Y.H., Generalized thermoelastic coupled problem of a rod fixed at both ends and subjected to a moving heat source. Engineering Mechanics, 2008, 25(5): 22–26.
Song, Y.Q., Zhang, Y.C., Xu, H.Y. and Lu, B.H., Transient disturbance in a half-space due to moving line heat source using thermoelasticity without energy dissipation. Acta Mechanica Sinica, 2004, 36(3): 342–347.
Song, Y.Q., Zhang, Y.C., Xu, H.Y. and Lu, B.H., Study on magneto-thermoviscoelastic problem with two relaxation times due to moving internal heat source. Acta Mechanica Sinica, 2005, 37(4): 501–510.
Ei-caramany, A.S. and Ezzat, M.A., Thermal shock problem in generalized thermo-viscoelasticity under four theories. Intnational Journal of Engineering Science, 2004, 42: 649–671.
Tian, X.G. and Shen, Y.P., Study on generalized magneto-thermoelastic problems by FEM in time domain. Acta Mechanica Sinica, 2005, 21: 380–387.
Tian, X.G., Shen, Y.P., Chen, C.Q. and He, T.H., A direct finite element method study of generalized thermoelastic problems. International Journal of Solids and Structures, 2006, 43: 2050–2063.
FlexPDE Method (FPDEM) website, http://www.pdesolutions.com.
Xia, R.H., Tian, X.G. and Shen, Y.P., The influence of diffusion on generalized thermoelastic problems of infinite body with a cylindrical cavity. International Journal of Engineering Science, 2009, 47: 669–679.
Xia, R.H., Tian, X.G. and Shen, Y.P., MD simulation of a copper rod under thermal shock. Acta Mechanica Sinica, 2010, 26: 599–604.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the Funds of Xi’an University of Technology (No. 104-211002) and Shaanxi Province Natural Science Foundation research project (No. 2014JM1024).
Rights and permissions
About this article
Cite this article
Xia, R., Tian, X. & Shen, Y. Dynamic response of two-dimensional generalized thermoelastic coupling problem subjected to a moving heat source. Acta Mech. Solida Sin. 27, 300–305 (2014). https://doi.org/10.1016/S0894-9166(14)60038-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S0894-9166(14)60038-0