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Vol.24, No.2 2024, pp. 172–177 |
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EVALUATION OF THERMAL STRESSES IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC DISC WITH ROTATION AND INTERNAL PRESSURE Vikash Ghlawat1*, Devinder Singh Pathania2**, Richa Sharma3, Arvind Kumar4, Khursheed Alam1 1) Department. of Mathematics, SBSR, Sharda University, Gr. Noida, INDIA *email: vikashgahlawat25@gmail.com 2) Department of Mathematics, Guru Nanak Dev Engineering College, Ludhiana, Punjab, INDIA **email: despathania@yahoo.com 3)
Department of Mathematics, Jaypee Institute of Information Technology, Noida, INDIA,
4) Department of Mathematics, GMSSSS Hansi, Hisar, INDIA
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Abstract The paper deals with the analytical solution of transitional stresses in thin rotating disc composed of piezoelectric material under temperature and internal pressure. The stresses are evaluated in the rotating disc by using transition theory of Seth. The electric displacement relations and stresses are computed by using stress strain relations. The non-homogeneous differential equation is derived by substituting the obtained relations into the equilibrium equation. The formulated differential equation is solved with specified boundary conditions, applied pressure, electric displacement and stresses. Obtained results are exhibited graphically, analysed numerically and it is then concluded that transversely isotropic beryl is better than transversely isotropic magnesium material and transversely isotropic piezoelectric materials BaTiO4 and PZT-4. Keywords: thermal stresses, transversely isotropic disc, piezoelectric, internal pressure |
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