Vol.18, No.2, 2018, pp. 89–97
UDC:

CREEP TORSION IN THICK-WALLED CIRCULAR CYLINDER UNDER INTERNAL AND EXTERNAL PRESSURE

Sanjeev Sharma1, Sanehlata Yadav1, Richa Sharma2

1) Department of Mathematics, Jaypee Institute of Information Technology, Noida, India email: sanjiit12@rediffmail.com

2) Department of Mathematics, SBSR, Sharda University, Greater Noida, India

Abstract

In this paper, a closed-form solution has been developed for the creep behaviour of functionally graded isotropic cylinder subjected to twist under internal and external pressure. Seth’s transition theory using the concept of generalized strain measure has been applied to study the creep behaviour of the cylinder. The compressibility of the cylinder is considered to be varying in the radial direction. Creep stresses for different values of compressibility parameters and strain measures are plotted against radii ratio with fixed angle of twist under internal and external pressure. Effects of compressibility, pressure and torsion on creep stresses have been discussed. From the analysis, it is found that cylinder made up of functionally graded material is a better choice for designing as compared to a homogeneous cylinder. This is because the shear stresses are on the higher side in a functionally graded cylinder as compared to a homogeneous cylinder.

Keywords: creep, torsion, strain measure, functionally graded material, pressure

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