PSI - Issue 71

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ScienceDirect

Procedia Structural Integrity 71 (2025) 364–371

Abstract Functionally graded materials (FGMs) are widely used in advanced engineering and scientific research applications and are known for their application-specific material design. In particular, FGMs provide enhanced load-handling capacity in specific geometric directions. The gradation could be a combination of metal-ceramic mixture because of their huge industrial applications. Recent studies on FGM disks offer various methods for solving material variation laws under different loading conditions, but literature on the combined loading effect is scarce. The present research investigates the impact of thermal loading by maintaining a constant temperature and then varying the temperature considering the problem to be of one-dimensional steady-state heat conduction. The non-dimensional tangential stress, radial stress, and displacement of the FG rotating disk were examined for various grading parameters. While there are various methods and algorithms available to solve second-order governing differential equations, this study employs the collocation method for numerical solutions. The objective of this research is to analyze the combined effect of exponentially varying material grading parameters and different temperatures on the deformation and stresses in a disk at a constant angular speed for free-free boundary conditions. 5 th International Structural IntegrityConference & Exhibition (SICE 2024) Thermo-elastic Analysis of Functionally Graded Polar Orthotropic Rotating Disk Using Collocation Method Ritesh Kumar a, ∗ , Lakshman Sondhi a , Royal Madan b , Rakesh Kumar Sahu c , Sanjay Yadav d , Shubhankar Bhowmick e a Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, Bhilai-490020, Chhattisgarh, India b Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun-248002, Uttarakhand, India c Department of Mechanical Engineering, Visvesvaraya National Institute of Technology, Nagpur-440010, Maharashtra, India d Department of Mechanical Engineering, ITC Engineering College, Greater Noida-201308, Uttar Pradesh, India e Department of Mechanical Engineering, National Institute of Technology, Raipur- 492010, Chhattisgarh, India 1. Introduction Functionally graded material (FGM) is a non-homogeneous composite material that follows a law for property variation along a certain direction. FGM has a vast range of applications such as disks, cylinders, plates, machinery components etc. (Abdalla et al., 2020; Demirbaş et al., 2020; Madan et al., 2023; Reddy & Chin, 1998; Shariyat, 2009) which enhance the performance, durability, and load handling capacity under different loading conditions, and environmental conditions (Ebrahimi et al., 2016; Eslami et al., 2005; Manthena & Kedar, 2018). One of the applications of FGM is the disks, which have diverse mechanical applications such as flywheels, brakes, gears, turbine rotors, IC engines, and compressors. The design of the disk includes the effect of thermal as well as centrifugal stresses as they need to design and analyze the stresses. Keywords Point collocation method; free-free boundary condition; rotating disk; functionally graded materials; thermo-elastic analysis © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of SICE 2024 organizers

∗ Corresponding author. Tel.: + 91-9691089327. E-mail address: apriiteshpatel@gmail.com

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of SICE 2024 organizers 10.1016/j.prostr.2025.08.049