Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique
This is the third part of a short series of paper, revisiting some classical concepts of Linear Elastic Fracture Mechanics. Based on the solution for the single edge notched strip, discussed in Part-II, the present study deals with the stress field developed in a stretched finite strip, weakened by...
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Gruppo Italiano Frattura
2025-01-01
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| Series: | Fracture and Structural Integrity |
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| author | Christos F. Markides Stavros K. Kourkoulis |
| author_facet | Christos F. Markides Stavros K. Kourkoulis |
| author_sort | Christos F. Markides |
| collection | DOAJ |
| description | This is the third part of a short series of paper, revisiting some classical concepts of Linear Elastic Fracture Mechanics. Based on the solution for the single edge notched strip, discussed in Part-II, the present study deals with the stress field developed in a stretched finite strip, weakened by two symmetric edge notches. The notches are of parabolic shape, approximating the configuration of a rounded V-notch, varying from almost semicircular edge cavities to �mathematical� edge cracks of zero distance between their lips. The solution is obtained combining Muskhelishvili�s complex potentials technique with a procedure for �stress-neutralization� of specific areas of the loaded strip. To simplify the procedure, the notches are assumed to be �shallow� (short) so that they do not affect each other. Once the complex potentials are obtained, the stress field variations are plotted along strategic loci of the strip and along the periphery of the notches. Attention is paid to the stress field developed around the bases (tips or crowns) of the two notches, providing relatively simple formulae for the critical tensile stress. In addition, the respective stress concentration factor k is obtained for blunt notches, while in the case the edge discontinuities become �mathematical� cracks, a simple expression is given for the mode-I stress intensity factor KI at the tip of the crack. It is revealed that the assumption of �shallow� notches suffices a quite efficient solution for the overall stress field in finite strips |
| format | Article |
| id | doaj-art-2c45b9a7f2cb48d1bff8a716b5b11a28 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-2c45b9a7f2cb48d1bff8a716b5b11a282025-01-03T08:51:16ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932025-01-01197130231610.3221/IGF-ESIS.71.2210.3221/IGF-ESIS.71.22Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� techniqueChristos F. MarkidesStavros K. KourkoulisThis is the third part of a short series of paper, revisiting some classical concepts of Linear Elastic Fracture Mechanics. Based on the solution for the single edge notched strip, discussed in Part-II, the present study deals with the stress field developed in a stretched finite strip, weakened by two symmetric edge notches. The notches are of parabolic shape, approximating the configuration of a rounded V-notch, varying from almost semicircular edge cavities to �mathematical� edge cracks of zero distance between their lips. The solution is obtained combining Muskhelishvili�s complex potentials technique with a procedure for �stress-neutralization� of specific areas of the loaded strip. To simplify the procedure, the notches are assumed to be �shallow� (short) so that they do not affect each other. Once the complex potentials are obtained, the stress field variations are plotted along strategic loci of the strip and along the periphery of the notches. Attention is paid to the stress field developed around the bases (tips or crowns) of the two notches, providing relatively simple formulae for the critical tensile stress. In addition, the respective stress concentration factor k is obtained for blunt notches, while in the case the edge discontinuities become �mathematical� cracks, a simple expression is given for the mode-I stress intensity factor KI at the tip of the crack. It is revealed that the assumption of �shallow� notches suffices a quite efficient solution for the overall stress field in finite stripshttps://www.fracturae.com/index.php/fis/article/view/5254/4166linear elastic fracture mechanicsdouble edge notched stripstress concentrationstress intensityrounded v notches - parabolic cavitiescomplex potentialsstress-neutralization technique. |
| spellingShingle | Christos F. Markides Stavros K. Kourkoulis Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique Fracture and Structural Integrity linear elastic fracture mechanics double edge notched strip stress concentration stress intensity rounded v notches - parabolic cavities complex potentials stress-neutralization technique. |
| title | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique |
| title_full | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique |
| title_fullStr | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique |
| title_full_unstemmed | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique |
| title_short | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the �stress-neutralization� technique |
| title_sort | revisiting classical concepts of linear elastic fracture mechanics part iii the stress field in a double edge notched finite strip by means of the �stress neutralization� technique |
| topic | linear elastic fracture mechanics double edge notched strip stress concentration stress intensity rounded v notches - parabolic cavities complex potentials stress-neutralization technique. |
| url | https://www.fracturae.com/index.php/fis/article/view/5254/4166 |
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