Journal
MATHEMATICS
Volume 11, Issue 7, Pages -Publisher
MDPI
DOI: 10.3390/math11071739
Keywords
piezoelectric rod; DPL thermoelasticity; gradient index; heat sources; electric potential
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By laminating piezoelectric and flexible materials, their performance can be improved. Therefore, the electrical and mechanical properties of layered piezoelectric materials under electromechanical loads and heat sources need to be analyzed theoretically and mechanically. Extended thermoelasticity models have been derived to address the problem of infinite wave propagation, as classical thermoelasticity cannot address this issue. This paper focuses on the thermo-mechanical response of a piezoelectric functionally graded (FG) rod due to a movable axial heat source, using the dual-phase-lag (DPL) heat transfer model. The physical characteristics of the FG rod vary exponentially along the axis of the body. The Laplace transform and decoupling techniques are used to analyze the physical fields obtained. The results are compared with those in previous literature, considering a range of heterogeneity, rotation, and heat source velocity measures.
By laminating piezoelectric and flexible materials, we can increase their performance. Therefore, the electrical and mechanical properties of layered piezoelectric materials subjected to electromechanical loads and heat sources must be analyzed theoretically and mechanically. Since the problem of infinite wave propagation cannot be addressed using classical thermoelasticity, extended thermoelasticity models have been derived. The thermo-mechanical response of a piezoelectric functionally graded (FG) rod due to a moveable axial heat source is considered in this paper, utilizing the dual-phase-lag (DPL) heat transfer model. It was supposed that the physical characteristics of the FG rod varied exponentially along the axis of the body. Both ends hold the rod, and there is no voltage across them. The Laplace transform and decoupling techniques were used to obtain the physical fields that have been analyzed. A range of heterogeneity, rotation, and heat source velocity measures were used to compare the results presented here and those in the previous literature.
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