Advances in Materials Research

Volume 14, Number 3, 2025, pages 249-268

DOI: 10.12989/amr.2025.14.3.249

Thermo-mechanical stress and deformation analysis of functionally graded cylinder subjected to multiple loading conditions

Sanjay Kumar Singh, Lakshman Sondhi, Anil Prakash Singh, Rakesh Kumar Sahu and Royal Madan

Abstract

In this paper, thermo-mechanical elastic stress and deformation analysis of a functionally graded (FG) cylindrical shell, under complex loading states such as angular rotation, thermal load with heat generation, body force, and mechanical loads, are analyzed. FG materials are advanced and futuristic composite materials with gradually varying properties across different surfaces. In this paper, a power law is used for the variation of material properties such as elastic modulus, density, thermal conduction coefficient, and thermal expansion coefficient, offering a better strength-to-weight ratio, better thermal resistance, and durability in critical harsh environments. To increase the lifecycle of a structure, the stresses induced should be minimal. Navier's method is used to solve Euler's governing differential equations with a plane stress condition that reduces the complexity of the second-order. The main aim of this study is to investigate the combined effect of material non-homogeneity with various types of complex loading states on the displacement and stress distribution within the cylinder. This analysis provides valuable insight to enhance the performance, reliability, and integrity of structures in the fields of aerospace, defense, Mechanical, and Civil Engineering.

Key Words

FGM; hollow cylinder; material grading laws; Navier's method; thermo-mechanical analysis

Address

Sanjay Kumar Singh: Department of Mechanical Engineering, Chhatrapati Shivaji Institute of Technology Durg Lakshman Sondhi: Department of Mechanical Engineering, Shri Shankaracharya Technical Campus Bhilai Anil Prakash Singh: Maharana Pratap Polytechnic, Gorakhpur, 273015 Rakesh Kumar Sahu: Department of Mechanical Engineering, Visvesvaraya National Institute of Technology, Nagpur Royal Madan: Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India