On the stress investigation at the edges of the fixed elastic semi-strip
The stress state of the elastic fixed semi-strip with the regarding of the singularities at its edge is investigated in the article. The initial boundary problem is reduced to a vector boundary problem in the transformation’s domain by the use of integral Fourier transformation. The one-dimensional...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2016-10-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/1762 |
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| author | N. Vaysfeld O. Kryvyi Z. Zhuravlova |
| author_facet | N. Vaysfeld O. Kryvyi Z. Zhuravlova |
| author_sort | N. Vaysfeld |
| collection | DOAJ |
| description | The stress state of the elastic fixed semi-strip with the regarding of the singularities at its edge is investigated in the article. The initial boundary problem is reduced to a vector boundary problem in the transformation’s
domain by the use of integral Fourier transformation. The one-dimensional vector boundary problem is solved exactly with the help of matrix differential calculations and Green’s matrix apparatus. The problem’s solving was focused at the solving of the singular integral equation (SIE) with the two fixed singularities at the ends of the integration’s interval. The symbol of SIE was constructed and the generalized method of the SIE solving was applied. The stress’ distributions of the semi-strip are investigated. |
| format | Article |
| id | doaj-art-7098e309da18438998dab5853438da9a |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2016-10-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-7098e309da18438998dab5853438da9a2025-01-03T01:03:07ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932016-10-011038On the stress investigation at the edges of the fixed elastic semi-stripN. VaysfeldO. KryvyiZ. ZhuravlovaThe stress state of the elastic fixed semi-strip with the regarding of the singularities at its edge is investigated in the article. The initial boundary problem is reduced to a vector boundary problem in the transformation’s domain by the use of integral Fourier transformation. The one-dimensional vector boundary problem is solved exactly with the help of matrix differential calculations and Green’s matrix apparatus. The problem’s solving was focused at the solving of the singular integral equation (SIE) with the two fixed singularities at the ends of the integration’s interval. The symbol of SIE was constructed and the generalized method of the SIE solving was applied. The stress’ distributions of the semi-strip are investigated.https://www.fracturae.com/index.php/fis/article/view/1762Semi-stripVector boundary problemSingular integral equationFixed singularity |
| spellingShingle | N. Vaysfeld O. Kryvyi Z. Zhuravlova On the stress investigation at the edges of the fixed elastic semi-strip Fracture and Structural Integrity Semi-strip Vector boundary problem Singular integral equation Fixed singularity |
| title | On the stress investigation at the edges of the fixed elastic semi-strip |
| title_full | On the stress investigation at the edges of the fixed elastic semi-strip |
| title_fullStr | On the stress investigation at the edges of the fixed elastic semi-strip |
| title_full_unstemmed | On the stress investigation at the edges of the fixed elastic semi-strip |
| title_short | On the stress investigation at the edges of the fixed elastic semi-strip |
| title_sort | on the stress investigation at the edges of the fixed elastic semi strip |
| topic | Semi-strip Vector boundary problem Singular integral equation Fixed singularity |
| url | https://www.fracturae.com/index.php/fis/article/view/1762 |
| work_keys_str_mv | AT nvaysfeld onthestressinvestigationattheedgesofthefixedelasticsemistrip AT okryvyi onthestressinvestigationattheedgesofthefixedelasticsemistrip AT zzhuravlova onthestressinvestigationattheedgesofthefixedelasticsemistrip |