Numerical Simulation of Stresses in Functionally Graded HCS-MgO Cylinder Using Iterative Technique and Finite Element...

Area of Science:

• Solid Mechanics
• Materials Science
• Computational Engineering

Background:

• Functionally Graded Materials (FGMs) offer tailored properties by varying composition across a structure.
• Axisymmetric hollow cylinders are critical components in various engineering applications.
• Understanding stress distribution in FGMs is essential for structural integrity.

Purpose of the Study:

• To investigate steady-state elastic stresses in a thick hollow axisymmetric functionally graded cylinder.
• To develop and validate an iterative technique for stress analysis of FG cylinders.
• To analyze the influence of material inhomogeneity on mechanical responses.

Main Methods:

• Developed a mathematical formulation for stress analysis using constitutive relations and equilibrium equations.
• Employed an iterative technique with an exponential variation of Young's modulus.
• Validated the iterative solution against the finite element method (FEM).

Main Results:

• The iterative method demonstrated fast convergence for stress analysis in FG cylinders.
• Radial displacement and stresses were analyzed for a High Carbon Steel (HCS) matrix reinforced with Magnesium Oxide (MgO).
• The iterative method's results closely matched FEM predictions, confirming its accuracy.

Conclusions:

• The developed iterative technique is a reliable and efficient method for analyzing stresses in functionally graded cylinders.
• The study provides valuable insights into the mechanical behavior of FG cylinders under pressure.
• FEM validation confirms the efficacy of the iterative approach for engineering applications.