Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches
This is the second part of a short three-paper series, aiming to revisit some classical concepts of Linear Elastic Fracture Mechanics. Being the intermediate step of the analysis between infinite domains (discussed in Part-I) and finite bodies (that will be discussed analytically in the third part...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2024-02-01
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| Series: | Frattura ed Integrità Strutturale |
| Subjects: | |
| Online Access: | https://www.fracturae.com/index.php/fis/article/view/4781 |
| _version_ | 1797304881582702592 |
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| author | Christos Markides Stavros K Kourkoulis |
| author_facet | Christos Markides Stavros K Kourkoulis |
| author_sort | Christos Markides |
| collection | DOAJ |
| description |
This is the second part of a short three-paper series, aiming to revisit some classical concepts of Linear Elastic Fracture Mechanics. Being the intermediate step of the analysis between infinite domains (discussed in Part-I) and finite bodies (that will be discussed analytically in the third part of the series), the present part offers an alternative theoretical approach for the confrontation of problems dealing with both infinite and finite bodies with geometrical discontinuities. The method is here applied to a stretched, single-edge notched strip. Assuming that the strip is made of a linearly elastic and isotropic material, the complex potentials technique is used. The solution is achieved by extending Mushkelishvili’s procedure, for the confrontation of the problem of an infinite perforated plane. Closed form, full-field formulae are obtained for the stresses all over the notched strip. Using these formulae, the stress concentration factor at the base (tip) of the notch is quantified and studied in terms of the geometrical features of the notch and its dimensions relatively to the respective ones of the strip. The stress distributions plotted along characteristic loci, resemble closely, from a qualitative point of view, the respective ones provided by well-established analytical solutions. Preliminary numerical analyses in progress provide results in very good agreement with those of the present analysis.
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| first_indexed | 2024-03-08T00:16:47Z |
| format | Article |
| id | doaj.art-230d02710ff94521b84210ecc2261022 |
| institution | Directory Open Access Journal |
| issn | 1971-8993 |
| language | English |
| last_indexed | 2024-03-08T00:16:47Z |
| publishDate | 2024-02-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Frattura ed Integrità Strutturale |
| spelling | doaj.art-230d02710ff94521b84210ecc22610222024-02-17T00:05:21ZengGruppo Italiano FratturaFrattura ed Integrità Strutturale1971-89932024-02-01186810.3221/IGF-ESIS.68.01Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches Christos Markides0Stavros K Kourkoulis1National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Zografou Campus, 5 Heroes of Polytechneion Avenue, 157 73, Attiki, GreeceNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory of Strength and Materials, Zografou Campus, 5 Heroes of Polytechneion Avenue, 157 73, Attiki, Greece This is the second part of a short three-paper series, aiming to revisit some classical concepts of Linear Elastic Fracture Mechanics. Being the intermediate step of the analysis between infinite domains (discussed in Part-I) and finite bodies (that will be discussed analytically in the third part of the series), the present part offers an alternative theoretical approach for the confrontation of problems dealing with both infinite and finite bodies with geometrical discontinuities. The method is here applied to a stretched, single-edge notched strip. Assuming that the strip is made of a linearly elastic and isotropic material, the complex potentials technique is used. The solution is achieved by extending Mushkelishvili’s procedure, for the confrontation of the problem of an infinite perforated plane. Closed form, full-field formulae are obtained for the stresses all over the notched strip. Using these formulae, the stress concentration factor at the base (tip) of the notch is quantified and studied in terms of the geometrical features of the notch and its dimensions relatively to the respective ones of the strip. The stress distributions plotted along characteristic loci, resemble closely, from a qualitative point of view, the respective ones provided by well-established analytical solutions. Preliminary numerical analyses in progress provide results in very good agreement with those of the present analysis. https://www.fracturae.com/index.php/fis/article/view/4781Linear Elastic Fracture Mechanics;Notches;Finite strip;Complex potentials;Stress Concentration;Stress Intensity; |
| spellingShingle | Christos Markides Stavros K Kourkoulis Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches Frattura ed Integrità Strutturale Linear Elastic Fracture Mechanics; Notches; Finite strip; Complex potentials; Stress Concentration; Stress Intensity; |
| title | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches |
| title_full | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches |
| title_fullStr | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches |
| title_full_unstemmed | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches |
| title_short | Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part II: Stretching finite strips weakened by single edge parabolically-shaped notches |
| title_sort | revisiting classical concepts of linear elastic fracture mechanics part ii stretching finite strips weakened by single edge parabolically shaped notches |
| topic | Linear Elastic Fracture Mechanics; Notches; Finite strip; Complex potentials; Stress Concentration; Stress Intensity; |
| url | https://www.fracturae.com/index.php/fis/article/view/4781 |
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