A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials
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 d...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025197 |
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| _version_ | 1850151308629114880 |
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| author | Mohamed Abdelsabour Fahmy Ahmad Almutlg |
| author_facet | Mohamed Abdelsabour Fahmy Ahmad Almutlg |
| author_sort | Mohamed Abdelsabour Fahmy |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-654c5a33dc3443a2b88936f034e78c8d |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-654c5a33dc3443a2b88936f034e78c8d2025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-02-011024268428510.3934/math.2025197A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materialsMohamed Abdelsabour Fahmy0Ahmad Almutlg1Department of Mathematics, Adham University College, Umm Al-Qura University, Adham 28653, Makkah, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaThe 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.https://www.aimspress.com/article/doi/10.3934/math.2025197mathematical modelboundary element methoddynamic thermoelasticityfracture problemsanisotropic functionally graded materialsstress intensity factor |
| spellingShingle | Mohamed Abdelsabour Fahmy Ahmad Almutlg A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials AIMS Mathematics mathematical model boundary element method dynamic thermoelasticity fracture problems anisotropic functionally graded materials stress intensity factor |
| title | A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials |
| title_full | A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials |
| title_fullStr | A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials |
| title_full_unstemmed | A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials |
| title_short | A time-stepping BEM for three-dimensional thermoelastic fracture problems of anisotropic functionally graded materials |
| title_sort | time stepping bem for three dimensional thermoelastic fracture problems of anisotropic functionally graded materials |
| topic | mathematical model boundary element method dynamic thermoelasticity fracture problems anisotropic functionally graded materials stress intensity factor |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025197 |
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