Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram
Crack growth kinetics in crystalline materials is examined both from the point of continuum mechanics and discrete dislocation dynamics. Kinetics ranging from the Griffith crack to continuous elastic-plastic cracks are analyzed. Initiation and propagation of incipient cracks require very high stress...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/10/5/358 |
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| author | Kuntimaddi Sadananda Ilaksh Adlakha Kiran N. Solanki A.K. Vasudevan |
| author_facet | Kuntimaddi Sadananda Ilaksh Adlakha Kiran N. Solanki A.K. Vasudevan |
| author_sort | Kuntimaddi Sadananda |
| collection | DOAJ |
| description | Crack growth kinetics in crystalline materials is examined both from the point of continuum mechanics and discrete dislocation dynamics. Kinetics ranging from the Griffith crack to continuous elastic-plastic cracks are analyzed. Initiation and propagation of incipient cracks require very high stresses and appropriate stress gradients. These can be obtained either by pre-existing notches, as is done in a typical American Society of Testing and Materials (ASTM) fatigue and fracture tests, or by in situ generated stress concentrations via dislocation pile-ups. Crack growth kinetics are also examined using the modified Kitagawa–Takahashi diagram to show the role of internal stresses and their gradients needed to sustain continuous crack growth. Incipient crack initiation and growth are also examined using discrete dislocation modeling. The analysis is supported by the experimental data available in the literature. |
| first_indexed | 2024-03-10T20:06:17Z |
| format | Article |
| id | doaj.art-2cd59052ef1a4565a119458fa0ad7e86 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T20:06:17Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-2cd59052ef1a4565a119458fa0ad7e862023-11-19T23:12:26ZengMDPI AGCrystals2073-43522020-05-0110535810.3390/cryst10050358Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi DiagramKuntimaddi Sadananda0Ilaksh Adlakha1Kiran N. Solanki2A.K. Vasudevan3Technical Data Analysis, Falls Church, VA 22046, USADepartment of Applied Mechanics, Indian Institute of Technology-Madras, Chennai 600036, IndiaSchool for Engineering of Matter, Transport, and Energy, Arizona State University, 501 Tyler Mall, Tempe, AZ 85287, USATechnical Data Analysis, Falls Church, VA 22046, USACrack growth kinetics in crystalline materials is examined both from the point of continuum mechanics and discrete dislocation dynamics. Kinetics ranging from the Griffith crack to continuous elastic-plastic cracks are analyzed. Initiation and propagation of incipient cracks require very high stresses and appropriate stress gradients. These can be obtained either by pre-existing notches, as is done in a typical American Society of Testing and Materials (ASTM) fatigue and fracture tests, or by in situ generated stress concentrations via dislocation pile-ups. Crack growth kinetics are also examined using the modified Kitagawa–Takahashi diagram to show the role of internal stresses and their gradients needed to sustain continuous crack growth. Incipient crack initiation and growth are also examined using discrete dislocation modeling. The analysis is supported by the experimental data available in the literature.https://www.mdpi.com/2073-4352/10/5/358crack growthdislocation modelspile-upskitagawa-takahashi diagramfracture mechanicsinternal stresses |
| spellingShingle | Kuntimaddi Sadananda Ilaksh Adlakha Kiran N. Solanki A.K. Vasudevan Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram Crystals crack growth dislocation models pile-ups kitagawa-takahashi diagram fracture mechanics internal stresses |
| title | Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram |
| title_full | Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram |
| title_fullStr | Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram |
| title_full_unstemmed | Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram |
| title_short | Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram |
| title_sort | analysis of the crack initiation and growth in crystalline materials using discrete dislocations and the modified kitagawa takahashi diagram |
| topic | crack growth dislocation models pile-ups kitagawa-takahashi diagram fracture mechanics internal stresses |
| url | https://www.mdpi.com/2073-4352/10/5/358 |
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