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Smart Structures and Systems Volume 21, Number 2, February 2018 , pages 163-170 DOI: https://doi.org/10.12989/sss.2018.21.2.163 |
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Variable properties thermopiezoelectric problem under fractional thermoelasticity |
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Yongbin Ma, Liuchan Cao and Tianhu He
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| Abstract | ||
| The dynamic response of a finite length thermo-piezoelectric rod with variable material properties is investigated in the context of the fractional order theory of thermoelasticity. The rod is subjected to a moving heat source and fixed at both ends. The governing equations are formulated and then solved by means of Laplace transform together with its numerical inversion. The results of the non-dimensional temperature, displacement and stress in the rod are obtained and illustrated graphically. Meanwhile, the effects of the fractional order parameter, the velocity of heat source and the variable material properties on the variations of the considered variables are presented, and the results show that they significantly influence the variations of the considered variables. | ||
| Key Words | ||
| fractional order theory of thermoelasticity; thermo-piezoelectric coupling; Laplace transform; moving heat source; variable properties | ||
| Address | ||
| Yongbin Ma, Liuchan Cao and Tianhu He: School of Science, Lanzhou University of Technology, Lanzhou 730050, Peoples Republic of China | ||