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Two Temperature Heat Flux of Semi Infinite Piezoelectric Ceramic Rod
Faculty of Science and Humanitarian Studies, Salman Bin Abdulaziz University, Al-Kharj, KSA
Faculty of Science and Humanitarian Studies, Salman Bin Abdulaziz University, Al-Kharj, KSA
Mechanical Engineering Department, Faculty of Engineering and Islamic Architecture, Umm Al-Qura University, Mecca, KSA
- 1 Faculty of Science and Humanitarian Studies, Salman Bin Abdulaziz University, Al-Kharj, KSA
- 2 Faculty of Science and Humanitarian Studies, Salman Bin Abdulaziz University, Al-Kharj, KSA
- 3 Mechanical Engineering Department, Faculty of Engineering and Islamic Architecture, Umm Al-Qura University, Mecca, KSA
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Abstract
The theory of two-temperature generalized thermoelasticity is used to solve the problem of heating a semi-infinite rod made of a piezoelectric ceramic material within the framework of generalized thermopiezoelasticity theory by supplying the rod a certain amount of heat uniformly distributed over a finite time period to the finite end of the rod. The Laplace transform formalism is used to solve the proposed model. Inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. The physical parameters ( i.e ., conductive temperature, dynamical temperature, stress, strain, and displacement distributions) are investigated graphically.
KeywordsTwo TemperaturesGeneralized ThermoelasticityThermopiezoelasticityThermal WavesCeramicsPiezoelectric Materials—Heat Flux
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