Boundary Element and Sensitivity Analysis of Anisotropic Thermoelastic Metal and Alloy Discs with Holes.

Mohamed Abdelsabour Fahmy,Mohammed Owaidh Alsulami

doi:10.3390/ma15051828

Mohamed Abdelsabour Fahmy, Mohammed Owaidh Alsulami

Open Access

https://doi.org/10.3390/ma15051828

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Journal: Materials	Publication Date: Feb 28, 2022
Citations: 17	License type: CC BY 4.0

Affiliation: Umm al-Qura University, Suez Canal University

Abstract

The main aim of this paper was to develop an advanced processing method for analyzing of anisotropic thermoelastic metal and alloy discs with holes. In the boundary element method (BEM), the heat impact is expressed as an additional volume integral in the corresponding boundary integral equation. Any attempt to integrate it directly will necessitate domain discretization, which will eliminate the BEM’s most distinguishing feature of boundary discretization. This additional volume integral can be transformed into the boundary by using branch-cut redefinitions to avoid the use of additional line integrals. The numerical results obtained are presented graphically to show the effects of the transient and steady-state heat conduction on the quasi-static thermal stresses of isotropic, orthotropic, and anisotropic metal and alloy discs with holes. The validity of the proposed technique is examined for one-dimensional sensitivity, and excellent agreement with finite element method and experimental results is obtained.

Highlights

Thermoelastic analysis is a critical topic in engineering that has sparked a lot of attention in recent years
When thermal effects are considered, several methods for solving the volume integral equation in the boundary element formulation have been presented over the years [1–3]
The current problem was analyzed using FlexPDE 7 which is based on the finite element method (FEM)

Summary

Introduction

Thermoelastic analysis is a critical topic in engineering that has sparked a lot of attention in recent years. Thermoelastic research can be carried out using experimental, analytical, and numerical solutions. To solve problems with complicated boundaries, numerical methods such as the finite element method (FEM) or the boundary element method (BEM) must be utilized. When thermal effects are considered, several methods for solving the volume integral equation in the boundary element formulation have been presented over the years [1–3]. These methods include the dual reciprocity method [4] and multiple reciprocity method [5], particular integral boundary element method [6], and the exact boundary integral transformation method (EBITM) [7]. The EBITM has been successfully employed to transform the volume integral to the boundary in isotropic thermoelasticity [8]

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