Interacting cracks 3D analysis using boundary integral equation method
This paper presents a modification of the method of boundary integral equations suitable for the efficient solution of 3D problems on the arbitrarily oriented plane cracks interaction with the influence of body surface. The hypersingular boundary integral equations on the crack-surface are transform...
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| Format: | Article |
| Language: | English |
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AIMS Press
2016-12-01
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| Series: | AIMS Materials Science |
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| Online Access: | http://www.aimspress.com/Materials/article/1152/fulltext.html |
| _version_ | 1818251563766906880 |
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| author | Bohdan Stasyuk |
| author_facet | Bohdan Stasyuk |
| author_sort | Bohdan Stasyuk |
| collection | DOAJ |
| description | This paper presents a modification of the method of boundary integral equations suitable for the efficient solution of 3D problems on the arbitrarily oriented plane cracks interaction with the influence of body surface. The hypersingular boundary integral equations on the crack-surface are transformed into new form, where the solution behavior near the crack front is accounted implicitly. This modification allows the direct determination of the stress intensity factors (SIF) in the crack vicinity after solution of equations by the collocation technique. We also propose the approach based on the determination of the effective stress field formed in the vicinity of a fixed crack by neighboring cracks interacting with this crack and with boundary surface. Numerical examples concern an asymmetric problem for interacting penny-shaped plane cracks in the unlimited and limited bodies. The reliability of the results obtained by the method of effective stress field is checked by comparing with the exact solution of the problem of interaction of two penny-shaped cracks. |
| first_indexed | 2024-12-12T16:10:17Z |
| format | Article |
| id | doaj.art-73e77dbadf0b4bc3a649a63fa56d6b0e |
| institution | Directory Open Access Journal |
| issn | 2372-0484 |
| language | English |
| last_indexed | 2024-12-12T16:10:17Z |
| publishDate | 2016-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Materials Science |
| spelling | doaj.art-73e77dbadf0b4bc3a649a63fa56d6b0e2022-12-22T00:19:13ZengAIMS PressAIMS Materials Science2372-04842016-12-01341796181010.3934/matersci.2016.4.1796matersci-03-01796Interacting cracks 3D analysis using boundary integral equation methodBohdan Stasyuk0Lviv Polytechnic National University, 12 Bandera Str., 79013 Lviv, UkraineThis paper presents a modification of the method of boundary integral equations suitable for the efficient solution of 3D problems on the arbitrarily oriented plane cracks interaction with the influence of body surface. The hypersingular boundary integral equations on the crack-surface are transformed into new form, where the solution behavior near the crack front is accounted implicitly. This modification allows the direct determination of the stress intensity factors (SIF) in the crack vicinity after solution of equations by the collocation technique. We also propose the approach based on the determination of the effective stress field formed in the vicinity of a fixed crack by neighboring cracks interacting with this crack and with boundary surface. Numerical examples concern an asymmetric problem for interacting penny-shaped plane cracks in the unlimited and limited bodies. The reliability of the results obtained by the method of effective stress field is checked by comparing with the exact solution of the problem of interaction of two penny-shaped cracks.http://www.aimspress.com/Materials/article/1152/fulltext.htmlcracks interactionboundary integral equation methodpenny-shaper crackstress intensity factorboundary surface |
| spellingShingle | Bohdan Stasyuk Interacting cracks 3D analysis using boundary integral equation method AIMS Materials Science cracks interaction boundary integral equation method penny-shaper crack stress intensity factor boundary surface |
| title | Interacting cracks 3D analysis using boundary integral equation method |
| title_full | Interacting cracks 3D analysis using boundary integral equation method |
| title_fullStr | Interacting cracks 3D analysis using boundary integral equation method |
| title_full_unstemmed | Interacting cracks 3D analysis using boundary integral equation method |
| title_short | Interacting cracks 3D analysis using boundary integral equation method |
| title_sort | interacting cracks 3d analysis using boundary integral equation method |
| topic | cracks interaction boundary integral equation method penny-shaper crack stress intensity factor boundary surface |
| url | http://www.aimspress.com/Materials/article/1152/fulltext.html |
| work_keys_str_mv | AT bohdanstasyuk interactingcracks3danalysisusingboundaryintegralequationmethod |