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Research Article | Open Access

A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials

Mohamed Abdelsabour Fahmy1( )Ahmad Almutlg2
Department of Mathematics, Adham University College, Umm Al-Qura University, Adham 28653, Makkah, Saudi Arabia
Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
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Abstract

The primary goal of this study is to create a novel mathematical model based on the time-stepping boundary element method (BEM) scheme for solving three-dimensional coupled dynamic thermoelastic fracture issues in anisotropic functionally graded materials (FGMs). The crack tip opening displacement determines the dynamic stress intensity factor (SIF). The effects of anisotropy, graded parameters, and angle locations on the SIF were studied for three-dimensional coupled dynamic thermoelastic fracture situations. The results show that the novel method is exceptionally exact and efficient at assessing the fracture mechanics of fractured thermoelastic anisotropic FGMs. In addition, this paper provides a theoretical framework for analyzing a wide range of real engineering applications.

CLC number: 65M38, 78M15, 80M15

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AIMS Mathematics
Pages 4268-4285

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Cite this article:
Fahmy MA, Almutlg A. A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials. AIMS Mathematics, 2025, 10(2): 4268-4285. https://doi.org/10.3934/math.2025197

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Received: 31 October 2024
Revised: 09 February 2025
Accepted: 25 February 2025
Published: 15 February 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)