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Vol.20, No.1, 2020, pp. 21–25 |
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ANALYTICAL SOLUTION OF ELASTIC-PLASTIC STRESSES IN THIN ROTATING DISC MADE UP OF PIEZOELECTRIC MATERIAL Richa Sharma1, Zoran Radaković2 1) Department of Mathematics, School of Basic Sciences and Research, Sharda University, Greater Noida, INDIA email: richa.sharma@sharda.ac.in 2) University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia |
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Abstract This paper presents an analytic solution of transitional and plastic stresses in a thin rotating disc made up of piezoelectric material under internal pressure. The stresses in the rotating disc are calculated by applying the transition theory. The transitional and fully plastic stresses are derived with the help of stress strain relations. A nonlinear differential equation is obtained by substituting the resultant relations into the equilibrium equation. The solution of the differential equation with applied boundary conditions gives stresses, pressure and electric displacement. The results obtained are presented graphically and analysed numerically. It has been concluded on the basis of the study that isotropic material is better than piezoelectric material. Keywords: elastic-plastic stress, mathematical model, thin rotating disc, piezoelectric material |
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