Vol.20, Special Issue, 2020, pp. S45–S49
UDC:

ANALYSIS OF CREEP STRESSES IN THIN ROTATING DISC COMPOSED OF PIEZOELECTRIC MATERIAL

R. Sharma1, M. Sahni2

1) Department of Mathematics, SBSR, Sharda University, Knowledge Park II, Greater Noida, INDIA

email: richa.ggit@gmail.com 

2) Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar, Gujarat, INDIA

email: manojsahani117@gmail.com

 

Abstract

Piezoelectricity is the characteristic of some materials due to which they generate electricity when subjected to mechanical load. There exist many materials (natural and man-made) that possess piezoelectric properties. For example, cane sugar, quartz, berlinite, Rochelle salt, topaz and bone are naturally occurring piezoelectric materials, and lead zirconate titanate, and barium titanate are man- made piezoelectric materials. In this paper we are discuss-ing the analytic solution of creep stresses in thin rotating disc composed of piezoelectric material subjected to internal pressure. Creep stresses in the rotating disc are calculated by applying the concept of Seth’s transition theory. A nonlinear differential equation governing this physical problem is obtained by substituting the resultant relations into the equilibrium equation. The solution of nonlinear differential equation with applied boundary conditions gives the creep stresses and pressure. The obtained results are discussed numerically and presented graphically. With the help of mathematical calculations and numerical discussions we observed that creep stresses show significant increase with the increasing value of pressure and angular velocity.

Keywords: creep, piezoelectric material, stresses, internal pressure, rotating disc  

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