The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length
The role of some geometrical characteristics of the notches machined in circular discs, in order to determine the mode-I fracture toughness of brittle materials, is discussed. The study is implemented both analytically and numerically. For the analytic study advantage is taken of a recently intr...
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Gruppo Italiano Frattura
2021-12-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/3359 |
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| author | Stavros K Kourkoulis Christos Markides Ermioni Pasiou Andronikos Loukidis Dimos Triantis |
| author_facet | Stavros K Kourkoulis Christos Markides Ermioni Pasiou Andronikos Loukidis Dimos Triantis |
| author_sort | Stavros K Kourkoulis |
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The role of some geometrical characteristics of the notches machined in circular discs, in order to determine the mode-I fracture toughness of brittle materials, is discussed. The study is implemented both analytically and numerically. For the analytic study advantage is taken of a recently introduced solution for the stress- and displacement-fields developed in a finite disc with a central notch of finite width and length and rounded corners. The variation of the stresses along strategic loci and the deformation of the perimeter of the notch obtained analytically are used for the calibration/validation of a flexible numerical model, which is then used for a parametric investigation of the role of geometrical features of the notched disc (thickness of the disc, length and width of the notch, radius of the rounded corners of the notch). It is concluded that the role of the width of the notch is of critical importance. Both the analytic and the numerical studies indicate definitely that ignoring the accurate geometric shape of the notch leads to erroneous results concerning the actual stress field around the crown of the notch. Therefore, it is possible that misleading values of the fracture toughness of the material of the disc may be obtained.
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| format | Article |
| id | doaj-art-ebac5a9454514d66a889d74308cbf81f |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-ebac5a9454514d66a889d74308cbf81f2025-01-03T01:03:15ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932021-12-011659The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and lengthStavros K Kourkoulis0Christos Markides1Ermioni Pasiou2Andronikos Loukidis3Dimos Triantis4National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Theocaris Building, Zografou Campus, 157 73, Athens, GreeceNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Theocaris Building, Zografou Campus, 157 73, Athens, GreeceNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Theocaris Building, Zografou Campus, 157 73, Athens, GreeceUniversity of West Attica, Department of Electrical & Electronics Engineering, Electronic Devices and Materials Laboratory, 250 Thivon Avenue, 122 44, Athens, GreeceUniversity of West Attica, Department of Electrical & Electronics Engineering, Electronic Devices and Materials Laboratory, 250 Thivon Avenue, 122 44, Athens, Greece The role of some geometrical characteristics of the notches machined in circular discs, in order to determine the mode-I fracture toughness of brittle materials, is discussed. The study is implemented both analytically and numerically. For the analytic study advantage is taken of a recently introduced solution for the stress- and displacement-fields developed in a finite disc with a central notch of finite width and length and rounded corners. The variation of the stresses along strategic loci and the deformation of the perimeter of the notch obtained analytically are used for the calibration/validation of a flexible numerical model, which is then used for a parametric investigation of the role of geometrical features of the notched disc (thickness of the disc, length and width of the notch, radius of the rounded corners of the notch). It is concluded that the role of the width of the notch is of critical importance. Both the analytic and the numerical studies indicate definitely that ignoring the accurate geometric shape of the notch leads to erroneous results concerning the actual stress field around the crown of the notch. Therefore, it is possible that misleading values of the fracture toughness of the material of the disc may be obtained. https://www.fracturae.com/index.php/fis/article/view/3359Brazilian discCentral notchAnalytical solutionNumerical analysisFinite elements |
| spellingShingle | Stavros K Kourkoulis Christos Markides Ermioni Pasiou Andronikos Loukidis Dimos Triantis The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length Fracture and Structural Integrity Brazilian disc Central notch Analytical solution Numerical analysis Finite elements |
| title | The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length |
| title_full | The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length |
| title_fullStr | The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length |
| title_full_unstemmed | The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length |
| title_short | The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length |
| title_sort | critical influence of some tiny geometrical details on the stress field in a brazilian disc with a central notch of finite width and length |
| topic | Brazilian disc Central notch Analytical solution Numerical analysis Finite elements |
| url | https://www.fracturae.com/index.php/fis/article/view/3359 |
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