Numerical simulation of stresses in functionally graded HCS-MgO cylinder using iterative technique and finite element method
Date
2022Author
Kumar Paul, Sandeep
Dinesh Mehta, Parth
Sahni, Manoj
León Castro, Ernesto
Publisher
MaterialsDescription
Artículo de publicación SCOPUS - WOSMetadata
Show full item recordAbstract
In this study, a thick hollow axisymmetric functionally graded (FG) cylinder is investigated
for steady-state elastic stresses using an iteration technique and the finite element method. Here, we
have considered a functionally graded cylinder tailored with the material property, namely, Young’s
modulus, varying in an exponential form from the inner to outer radius of the cylinder. A mathe-
matical formulation for stress analysis of functionally graded cylinder under internal and external
pressure conditions is developed using constitutive relations for stress–strain, strain–displacement
relations and the equation of equilibrium. The effect of the in-homogeneity parameter on radial
displacement, radial and tangential stresses in a functionally graded cylinder made up of a High
Carbon Steel (HCS) metal matrix, reinforced with Magnesium Oxide (MgO) ceramic is analyzed. The
iterative method implemented is fast and converges to the solution which can be further improved by
considering a higher number of iterations. This is depicted graphically by using radial displacement
and stresses in a pressurized functionally graded cylinder obtained for the first two iterations. An
iterative solution for non-FGM (or homogeneous material) is validated using the finite element
method. The mechanical responses of the functionally graded cylinder obtained from the iterative
method and the finite element method are then compared and found to be in good agreement. Results
are presented in graphical and tabular form along with their interpretations