Applied Mathematics and Mechanics >
State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source
Received date: 2012-03-09
Revised date: 2012-11-20
Online published: 2013-01-03
In this work, a model of two-temperature generalized thermoelasticity without energy dissipation for an elastic half-space with constant elastic parameters is constructed. The Laplace transform and state-space techniques are used to obtain the general solution for any set of boundary conditions. The general solutions are applied to a specific problem of a half-space subjected to a moving heat source with a constant velocity. The inverse Laplace transforms are computed numerically, and the comparisons are shown in figures to estimate the effects of the heat source velocity and the two-temperature parameter.
H. M. YOUSSEF . State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source[J]. Applied Mathematics and Mechanics, 2013 , 34(1) : 63 -74 . DOI: 10.1007/s10483-013-1653-7
[1] Green, A. E. and Naghdi, P. M. Thermoelasticity without energy dissipation. Journal of Elasticity, 31, 189–208 (1993)
[2] Green, A. E. and Naghdi, P. M. A re-examination of the basic postulate of thermomechanics. Proceeding of the Royal Society A, 432, 171–194 (1991)
[3] Hetnarski, R. B. and Eslami, M. R. Thermal Stresses Advanced Theory and Applications, Springer, New York (2009)
[4] Chandrasekharaiah, D. S. and Srinath, K. S. Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity. International Journal of Mathematics and Mathematical Science, 23(8), 555–562 (2000)
[5] Kumar, R. and Deswal, S. Surface wave propagation in a micropolar thermoelastic medium without energy dissipation. Journal of Sound and Vibration, 256(1), 173–178 (2002)
[6] Quintanilla, R. Thermoelasticity without energy dissipation of materials with microstructure. Journal of Applied Mathematical Modeling, 26, 1125–1137 (2002)
[7] Roychoudhuri, S. K. and Dutta, P. S. Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varying heat sources. International Journal of Solids and Structures, 42, 4192–4203 (2005)
[8] Roychoudhuri, S. K. and Bandyopadhyay, N. Radially symmetric thermo-elastic wave propagation without energy dissipation in an infinitely extended thin plate with a circular hole. Journal of Applied Mathematics and Computation, 179(1), 267–281 (2006)
[9] Youssef, H. M. Theory of two-temperature generalized thermoelasticity. Journal of Thermal Stresses, 34(2), 138–146 (2011)
[10] Youssef, H. M. State-space approach of two-temperature generalized thermoelastic medium subjected to moving heat source and ramp-type heating. Journal of Mechanics of Materials and Structures, 4(9), 1637–1649 (2009)
[11] Youssef, H. M. Two-temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source. Archive of Applied Mechanics, 80(11), 1213–1224 (2010)
[12] Youssef, H. M. Generalized thermoelastic infinite medium with spherical cavity subjected to moving hear source. Journal of Computational Mathematics and Modeling, 21(2), 212–225 (2010)
[13] Charles, G. C. Matrices and Linear Transformations, 2nd ed., Addison-Wesley Publishing Company, New Jersey (1972)
[14] Tzou, D. Macro-to-Micro Heat Transfer, Taylor & Francis, Washington, D. C. (1996)
/
| 〈 |
|
〉 |
Email Alert
RSS