Abstract
The objective of this study is to present an ana-lytical and a numerical solution for stresses and radial dis-placement in pressurized solid sphere using plane elasticity theory (PET). The solid sphere composed of functionally graded material (FGM). Poisson’s ratio is assumed con-stant and modulus of elasticity to obey the exponential variation in the radial direction. The emphasis of this re-search is laid on effect of material inhomogeneity on the elastic deformation and stresses. The displacement and stresses distributions are compared with the solutions of the finite element method (FEM) and comparison with the corresponding numerical solution indicates that the pro-posed solution has excellent convergence and accuracy. DOI: http://dx.doi.org/10.5755/j01.mech.20.3.7395
Highlights
Hollow and Solid spherical shells are a common type of structure in engineering mechanics
Closed-form solutions are obtained by Tutuncu and Ozturk [3] for cylindrical and spherical vessels with variable elastic properties obeying a simple power law through the wall thickness which resulted in simple EulerCauchy equations whose solutions were readily available
Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials was studied by You et al [4]
Summary
Hollow and Solid spherical shells are a common type of structure in engineering mechanics. This problem is studied by several researchers in the past. Xiao-Ming and Zong-Da [2] using the method of weighted residuals, obtained the general solutions in forms of Legendre series for thick spherical shell and solid sphere. Closed-form solutions are obtained by Tutuncu and Ozturk [3] for cylindrical and spherical vessels with variable elastic properties obeying a simple power law through the wall thickness which resulted in simple EulerCauchy equations whose solutions were readily available. Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials was studied by You et al [4]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
