An antiplane crack emerging from the top of a composite functional gradient wedge
In the paper, the problem on an interface longitudinal shear crack located between two functionally graded wedge-shaped regions and emerging from their common vertex has been considered. The shear modules of the materials are quadratic functions of the polar angle. This kind of functional inhomogene...
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| Format: | Article |
| Language: | English |
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Peter the Great St.Petersburg Polytechnic University
2023-09-01
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| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
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| Online Access: | https://physmath.spbstu.ru/article/2023.67.12/ |
| _version_ | 1797654244402135040 |
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| author | Tikhomirov Victor |
| author_facet | Tikhomirov Victor |
| author_sort | Tikhomirov Victor |
| collection | DOAJ |
| description | In the paper, the problem on an interface longitudinal shear crack located between two functionally graded wedge-shaped regions and emerging from their common vertex has been considered. The shear modules of the materials are quadratic functions of the polar angle. This kind of functional inhomogeneity made it possible to express all the components of the elastic field through a single harmonic function. Using the Mellin integral transform, the problem was reduced to the Wiener – Hopf scalar equation, for which an exact solution was obtained. The influence of gradients of elastic properties of materials and geometric parameters of the structure on the stress intensity factor was studied. |
| first_indexed | 2024-03-11T16:56:37Z |
| format | Article |
| id | doaj.art-b5c51bb7d0784341892f1f7070618810 |
| institution | Directory Open Access Journal |
| issn | 2405-7223 |
| language | English |
| last_indexed | 2024-03-11T16:56:37Z |
| publishDate | 2023-09-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj.art-b5c51bb7d0784341892f1f70706188102023-10-20T15:15:24ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232023-09-0116310.18721/JPM.1631220714726An antiplane crack emerging from the top of a composite functional gradient wedgeTikhomirov Victor0Peter the Great St. Petersburg Polytechnic UniversityIn the paper, the problem on an interface longitudinal shear crack located between two functionally graded wedge-shaped regions and emerging from their common vertex has been considered. The shear modules of the materials are quadratic functions of the polar angle. This kind of functional inhomogeneity made it possible to express all the components of the elastic field through a single harmonic function. Using the Mellin integral transform, the problem was reduced to the Wiener – Hopf scalar equation, for which an exact solution was obtained. The influence of gradients of elastic properties of materials and geometric parameters of the structure on the stress intensity factor was studied.https://physmath.spbstu.ru/article/2023.67.12/functionally graded wedgeinterface crack of longitudinal shearstress intensity factor |
| spellingShingle | Tikhomirov Victor An antiplane crack emerging from the top of a composite functional gradient wedge St. Petersburg Polytechnical University Journal: Physics and Mathematics functionally graded wedge interface crack of longitudinal shear stress intensity factor |
| title | An antiplane crack emerging from the top of a composite functional gradient wedge |
| title_full | An antiplane crack emerging from the top of a composite functional gradient wedge |
| title_fullStr | An antiplane crack emerging from the top of a composite functional gradient wedge |
| title_full_unstemmed | An antiplane crack emerging from the top of a composite functional gradient wedge |
| title_short | An antiplane crack emerging from the top of a composite functional gradient wedge |
| title_sort | antiplane crack emerging from the top of a composite functional gradient wedge |
| topic | functionally graded wedge interface crack of longitudinal shear stress intensity factor |
| url | https://physmath.spbstu.ru/article/2023.67.12/ |
| work_keys_str_mv | AT tikhomirovvictor anantiplanecrackemergingfromthetopofacompositefunctionalgradientwedge AT tikhomirovvictor antiplanecrackemergingfromthetopofacompositefunctionalgradientwedge |