On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron
The approaches used to calculate the fatigue life of components must inevitably consider multiaxial stresses. Compared to proportional loading, the calculation of nonproportional loading is particularly challenging, especially since different materials exhibit the effects of nonproportional hardenin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Applied Mechanics |
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| Online Access: | https://www.mdpi.com/2673-3161/3/1/18 |
| _version_ | 1797447264123224064 |
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| author | Michael Wächter Alexander Linn Ralf Wuthenow Alfons Esderts Christian Gaier Jan Kraft Carl Fällgren Michael Vormwald |
| author_facet | Michael Wächter Alexander Linn Ralf Wuthenow Alfons Esderts Christian Gaier Jan Kraft Carl Fällgren Michael Vormwald |
| author_sort | Michael Wächter |
| collection | DOAJ |
| description | The approaches used to calculate the fatigue life of components must inevitably consider multiaxial stresses. Compared to proportional loading, the calculation of nonproportional loading is particularly challenging, especially since different materials exhibit the effects of nonproportional hardening and shifts in fatigue life. In this paper, the critical plane approach of scaled normal stresses, first proposed by Gaier and Dannbauer and later published in a modified version by Riess et al., is investigated in detail. It is shown that, on the one hand, compatibilities exist or can be established with known proportional strength criteria that can account for the varying ductility of different materials. Furthermore, it is demonstrated that the scaled normal stress approach can be formulated in such a way that different strength criteria can be used therein. As an example, the generally formulated approach for scaled normal stresses is applied to test results from ductile cast iron material EN-GJS-500-14. Different correction factors accounting for nonproportional loading are investigated. Through appropriate parameterization of one of the studied corrections, proportional and nonproportional test results were observed to fall within one common scatter band. |
| first_indexed | 2024-03-09T13:52:21Z |
| format | Article |
| id | doaj.art-bb1c265b474c48ae83ef5ea7ff7d01f6 |
| institution | Directory Open Access Journal |
| issn | 2673-3161 |
| language | English |
| last_indexed | 2024-03-09T13:52:21Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Mechanics |
| spelling | doaj.art-bb1c265b474c48ae83ef5ea7ff7d01f62023-11-30T20:48:28ZengMDPI AGApplied Mechanics2673-31612022-03-013125929510.3390/applmech3010018On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast IronMichael Wächter0Alexander Linn1Ralf Wuthenow2Alfons Esderts3Christian Gaier4Jan Kraft5Carl Fällgren6Michael Vormwald7Institute for Plant Engineering and Fatigue Analysis, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyInstitute for Plant Engineering and Fatigue Analysis, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyInstitute for Plant Engineering and Fatigue Analysis, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyInstitute for Plant Engineering and Fatigue Analysis, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, GermanyEngineering Center Steyr Gmbh & Co. KG, 4300 St. Valentin, AustriaMaterials Mechanics Group, Technical University of Darmstadt, 64287 Darmstadt, GermanyMaterials Mechanics Group, Technical University of Darmstadt, 64287 Darmstadt, GermanyMaterials Mechanics Group, Technical University of Darmstadt, 64287 Darmstadt, GermanyThe approaches used to calculate the fatigue life of components must inevitably consider multiaxial stresses. Compared to proportional loading, the calculation of nonproportional loading is particularly challenging, especially since different materials exhibit the effects of nonproportional hardening and shifts in fatigue life. In this paper, the critical plane approach of scaled normal stresses, first proposed by Gaier and Dannbauer and later published in a modified version by Riess et al., is investigated in detail. It is shown that, on the one hand, compatibilities exist or can be established with known proportional strength criteria that can account for the varying ductility of different materials. Furthermore, it is demonstrated that the scaled normal stress approach can be formulated in such a way that different strength criteria can be used therein. As an example, the generally formulated approach for scaled normal stresses is applied to test results from ductile cast iron material EN-GJS-500-14. Different correction factors accounting for nonproportional loading are investigated. Through appropriate parameterization of one of the studied corrections, proportional and nonproportional test results were observed to fall within one common scatter band.https://www.mdpi.com/2673-3161/3/1/18multiaxial fatiguecritical planescaled normal stressesproportional loadingnonproportional loadingductile cast iron |
| spellingShingle | Michael Wächter Alexander Linn Ralf Wuthenow Alfons Esderts Christian Gaier Jan Kraft Carl Fällgren Michael Vormwald On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron Applied Mechanics multiaxial fatigue critical plane scaled normal stresses proportional loading nonproportional loading ductile cast iron |
| title | On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron |
| title_full | On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron |
| title_fullStr | On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron |
| title_full_unstemmed | On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron |
| title_short | On Scaled Normal Stresses in Multiaxial Fatigue and Their Exemplary Application to Ductile Cast Iron |
| title_sort | on scaled normal stresses in multiaxial fatigue and their exemplary application to ductile cast iron |
| topic | multiaxial fatigue critical plane scaled normal stresses proportional loading nonproportional loading ductile cast iron |
| url | https://www.mdpi.com/2673-3161/3/1/18 |
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