Vol.24, No.1, 2024, pp. 65–70
UDC:

MATHEMATICAL MODEL OF SPHERICAL SHELL UNDER CREEP DEFORMATION

Gaurav Verma1*, Bachittar Singh2

1) Department of Mathematics, Hans Raj Mahila Maha Vidyalaya, Jalandhar, Punjab, INDIA

*email: gkdon85@gmail.com

2) Khalsa Institute of Management and Technology for Women, Ludhiana, Punjab, INDIA

email: bachittar.singh88@gmail.com

 

Abstract

Creep response of spherical shells under pressure is investigated to provide design guidelines to make the mathematical model applicable in engineering fields. In this study, creep deformation of the spherical shell is impacted by internal pressure and compressibility. Seth’s transition theory is adopted to derive the governing equations of creep deformation of the pressurized spherical shell without using the ad hoc assumptions of classical theory of deformation. Pressure required to initiate creep behaviour in the spherical shell made up of different thickness ratio is studied. Results are investigated theoretically and presented graphically.

Keywords: creep stress, strain rates, spherical shell, pressure, compressibility, measure

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