Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches
The paper deals with the three-dimensional nature and the multi-parametric representation of the stress field ahead of cracks and notches of different shape. Finite thickness plates are considered, under different loading conditions. Under certain hypotheses, the three-dimensional governing equation...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2013-04-01
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| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | https://www.fracturae.com/index.php/fis/article/view/210 |
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| author | P. Lazzarin M. Zappalorto F. Berto |
| author_facet | P. Lazzarin M. Zappalorto F. Berto |
| author_sort | P. Lazzarin |
| collection | DOAJ |
| description | The paper deals with the three-dimensional nature and the multi-parametric representation of the stress field ahead of cracks and notches of different shape. Finite thickness plates are considered, under different loading conditions. Under certain hypotheses, the three-dimensional governing equations of elasticity can be reduced to a system where a bi-harmonic equation and a harmonic equation have to be simultaneously satisfied. The former provides the solution of the corresponding plane notch problem, the latter provides the solution of the corresponding out-of-plane shear notch problem. The analytical frame is applied to some notched and cracked geometries and its degree of accuracy is discussed comparing theoretical results and numerical data from 3D FE models. |
| format | Article |
| id | doaj-art-fc63b2af076a436582aad378c859bc78 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2013-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-fc63b2af076a436582aad378c859bc782025-01-03T00:39:46ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932013-04-01725Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notchesP. LazzarinM. ZappalortoF. BertoThe paper deals with the three-dimensional nature and the multi-parametric representation of the stress field ahead of cracks and notches of different shape. Finite thickness plates are considered, under different loading conditions. Under certain hypotheses, the three-dimensional governing equations of elasticity can be reduced to a system where a bi-harmonic equation and a harmonic equation have to be simultaneously satisfied. The former provides the solution of the corresponding plane notch problem, the latter provides the solution of the corresponding out-of-plane shear notch problem. The analytical frame is applied to some notched and cracked geometries and its degree of accuracy is discussed comparing theoretical results and numerical data from 3D FE models.https://www.fracturae.com/index.php/fis/article/view/210Three-dimensional elasticity |
| spellingShingle | P. Lazzarin M. Zappalorto F. Berto Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches Fracture and Structural Integrity Three-dimensional elasticity |
| title | Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches |
| title_full | Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches |
| title_fullStr | Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches |
| title_full_unstemmed | Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches |
| title_short | Recent developments in multi-parametric three-dimensional stress field representation in plates weakened by cracks and notches |
| title_sort | recent developments in multi parametric three dimensional stress field representation in plates weakened by cracks and notches |
| topic | Three-dimensional elasticity |
| url | https://www.fracturae.com/index.php/fis/article/view/210 |
| work_keys_str_mv | AT plazzarin recentdevelopmentsinmultiparametricthreedimensionalstressfieldrepresentationinplatesweakenedbycracksandnotches AT mzappalorto recentdevelopmentsinmultiparametricthreedimensionalstressfieldrepresentationinplatesweakenedbycracksandnotches AT fberto recentdevelopmentsinmultiparametricthreedimensionalstressfieldrepresentationinplatesweakenedbycracksandnotches |