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Open AccessArticle

Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram

1
Technical Data Analysis, Falls Church, VA 22046, USA
2
Department of Applied Mechanics, Indian Institute of Technology-Madras, Chennai 600036, India
3
School for Engineering of Matter, Transport, and Energy, Arizona State University, 501 Tyler Mall, Tempe, AZ 85287, USA
*
Author to whom correspondence should be addressed.
Crystals 2020, 10(5), 358; https://doi.org/10.3390/cryst10050358
Received: 19 March 2020 / Revised: 23 April 2020 / Accepted: 26 April 2020 / Published: 1 May 2020
(This article belongs to the Special Issue Crystal Plasticity at Micro- and Nano-scale Dimensions)
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. View Full-Text
Keywords: crack growth; dislocation models; pile-ups; kitagawa-takahashi diagram; fracture mechanics; internal stresses crack growth; dislocation models; pile-ups; kitagawa-takahashi diagram; fracture mechanics; internal stresses
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Sadananda, K.; Adlakha, I.; Solanki, K.N.; Vasudevan, A. Analysis of the Crack Initiation and Growth in Crystalline Materials Using Discrete Dislocations and the Modified Kitagawa–Takahashi Diagram. Crystals 2020, 10, 358.

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