NON-HOMOGENEITY EFFECT IN THE SPHERICAL SHELL BY USING SETH’S THEORY
Pankaj Thakur1, Devinder Singh Pathania2, Gaurav Verma3, Jasmina Lozanović Šajić4
1)ICFAI University Baddi, Faculty of Science and Technology, Dept. of Mathematics, Solan, Himachal Pradesh, India,
2)Guru Nanak Dev Engineering College, Dept. of Mathematics, Ludhiana, Punjab, India
3)I.K.G. Punjab Tech. University, Kapurthala, Punjab, India
4)University of Belgrade, Innovation Centre of the Faculty of Mechanical Engineering, Serbia
This paper presents nonlinear deformation behaviour of non-homogeneous spherical shell examined under pressure by using Seth’s transition theory. It has been seen that for increased material compressibility in thickness direction, the circumferential stress in the spherical shell reaches maximum at the external surface, but is reverse in the case of a deceasing compressibility in the thickness direction. The spherical shell of non-homogeneous material (non-homogeneity increases radially) is on the safer side of design. Hence, the more use of non-homogeneous material (non-homogeneity increases radially) may be beneficial for manufacturing spherical shells as they provide longer service life than shells of homogeneous material under identical conditions.
Keywords: elastic-plastic, pressure, spherical shell, stresses, non-homogeneity