Interaction between line cracks in an orthotropic layer
We deal with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic layer of finite thickness 2h. The Fourier transform technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004982 |
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| _version_ | 1850235617762344960 |
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| author | Subir Das |
| author_facet | Subir Das |
| author_sort | Subir Das |
| collection | DOAJ |
| description | We deal with the interaction between three coplanar Griffith
cracks located symmetrically in the mid plane of an orthotropic
layer of finite thickness 2h. The Fourier transform technique
is used to reduce the elastostatic problem to the solution of a
set of integral equations which have been solved by using the
finite Hilbert transform technique and Cooke's result. The
analytical expressions for the stress intensity factors at the
crack tips are obtained for large h. Numerical values of the
interaction effect have been computed for and results show that
interaction effects are either shielding or amplification
depending on the location of each crack with respect to each other
and crack tip spacing as well as the thickness of the layer. |
| format | Article |
| id | doaj-art-12c8c57f3c374949b4b18579cd02de18 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-12c8c57f3c374949b4b18579cd02de182025-08-20T02:02:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291314210.1155/S0161171202004982Interaction between line cracks in an orthotropic layerSubir Das0Department of Mathematics, B.P. Poddar Institute of Management and Technology Poddar Vihar, 137, VIP Road, Calcutta 52, IndiaWe deal with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic layer of finite thickness 2h. The Fourier transform technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved by using the finite Hilbert transform technique and Cooke's result. The analytical expressions for the stress intensity factors at the crack tips are obtained for large h. Numerical values of the interaction effect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to each other and crack tip spacing as well as the thickness of the layer.http://dx.doi.org/10.1155/S0161171202004982 |
| spellingShingle | Subir Das Interaction between line cracks in an orthotropic layer International Journal of Mathematics and Mathematical Sciences |
| title | Interaction between line cracks in an orthotropic layer |
| title_full | Interaction between line cracks in an orthotropic layer |
| title_fullStr | Interaction between line cracks in an orthotropic layer |
| title_full_unstemmed | Interaction between line cracks in an orthotropic layer |
| title_short | Interaction between line cracks in an orthotropic layer |
| title_sort | interaction between line cracks in an orthotropic layer |
| url | http://dx.doi.org/10.1155/S0161171202004982 |
| work_keys_str_mv | AT subirdas interactionbetweenlinecracksinanorthotropiclayer |