A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance
Abstract Correlations between material parameters are useful because they provide a first estimation of unknown parameters. Here, the correlation between the tensile strength and the mode I fracture toughness of rocks is studied. Some researchers have proposed empirical correlations based on a certa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2023-11-01
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| Series: | Geomechanics and Geophysics for Geo-Energy and Geo-Resources |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40948-023-00694-1 |
| _version_ | 1797451051450761216 |
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| author | Jon Justo Marina Miranda Jorge Castro |
| author_facet | Jon Justo Marina Miranda Jorge Castro |
| author_sort | Jon Justo |
| collection | DOAJ |
| description | Abstract Correlations between material parameters are useful because they provide a first estimation of unknown parameters. Here, the correlation between the tensile strength and the mode I fracture toughness of rocks is studied. Some researchers have proposed empirical correlations based on a certain amount of empirical data and a fitting process. On the other hand, a few researchers have considered that the proportionality coefficient could be related to a rock property with units of length. Here, a linear relationship without an intercept at the origin between the tensile strength and the mode I fracture toughness of rocks is theoretically confirmed using the theory of critical distances (TCD). A comprehensive experimental database is presented and comparisons with this data from the literature (including tests at different temperatures) confirm the linear relationship and values of the critical distance of several millimeters (e.g., 3–15 mm). However, the scatter is large because there are different sources of uncertainty in the correlation, such as the testing method. Finally, the physical meaning of the critical distance is explored and its linear correlation with the grain size using the experimental database. |
| first_indexed | 2024-03-09T14:49:21Z |
| format | Article |
| id | doaj.art-717bae0bf772420ba302600da91c7790 |
| institution | Directory Open Access Journal |
| issn | 2363-8419 2363-8427 |
| language | English |
| last_indexed | 2024-03-09T14:49:21Z |
| publishDate | 2023-11-01 |
| publisher | Springer |
| record_format | Article |
| series | Geomechanics and Geophysics for Geo-Energy and Geo-Resources |
| spelling | doaj.art-717bae0bf772420ba302600da91c77902023-11-26T14:33:05ZengSpringerGeomechanics and Geophysics for Geo-Energy and Geo-Resources2363-84192363-84272023-11-01911910.1007/s40948-023-00694-1A relationship between tensile strength and mode I fracture toughness of rocks using the critical distanceJon Justo0Marina Miranda1Jorge Castro2Group of Geotechnical Engineering, Department of Ground Engineering and Materials Science, Universidad de CantabriaGroup of Geotechnical Engineering, Department of Ground Engineering and Materials Science, Universidad de CantabriaGroup of Geotechnical Engineering, Department of Ground Engineering and Materials Science, Universidad de CantabriaAbstract Correlations between material parameters are useful because they provide a first estimation of unknown parameters. Here, the correlation between the tensile strength and the mode I fracture toughness of rocks is studied. Some researchers have proposed empirical correlations based on a certain amount of empirical data and a fitting process. On the other hand, a few researchers have considered that the proportionality coefficient could be related to a rock property with units of length. Here, a linear relationship without an intercept at the origin between the tensile strength and the mode I fracture toughness of rocks is theoretically confirmed using the theory of critical distances (TCD). A comprehensive experimental database is presented and comparisons with this data from the literature (including tests at different temperatures) confirm the linear relationship and values of the critical distance of several millimeters (e.g., 3–15 mm). However, the scatter is large because there are different sources of uncertainty in the correlation, such as the testing method. Finally, the physical meaning of the critical distance is explored and its linear correlation with the grain size using the experimental database.https://doi.org/10.1007/s40948-023-00694-1Fracture toughnessTensile strengthCritical distanceThe theory of critical distancesGrain size |
| spellingShingle | Jon Justo Marina Miranda Jorge Castro A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance Geomechanics and Geophysics for Geo-Energy and Geo-Resources Fracture toughness Tensile strength Critical distance The theory of critical distances Grain size |
| title | A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance |
| title_full | A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance |
| title_fullStr | A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance |
| title_full_unstemmed | A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance |
| title_short | A relationship between tensile strength and mode I fracture toughness of rocks using the critical distance |
| title_sort | relationship between tensile strength and mode i fracture toughness of rocks using the critical distance |
| topic | Fracture toughness Tensile strength Critical distance The theory of critical distances Grain size |
| url | https://doi.org/10.1007/s40948-023-00694-1 |
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