Local and non-local modeling aspects of three-dimensional cracks growth initiation
Autor: | Gregory J. Rodin |
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Rok vydání: | 2020 |
Předmět: |
Mesoscopic physics
Normal plane Computational Mechanics Front (oceanography) 02 engineering and technology Mechanics Non local 01 natural sciences Physics::Geophysics 010101 applied mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Simple (abstract algebra) Modeling and Simulation Fracture (geology) Point (geometry) 0101 mathematics Geology |
Zdroj: | International Journal of Fracture. 221:211-220 |
ISSN: | 1573-2673 0376-9429 |
Popis: | Three-dimensional crack growth initiation is examined under the assumption that the crack front remains smooth. Two important modeling issues, specific to three-dimensional rather than two-dimensional cracks, are addressed. First, it is established that, at each point along the crack front, the velocity and configurational force are two-dimensional vectors, lying in the local normal plane. This allows one to generalize any two-dimensional crack growth criterion to three dimensions. Second, a simple mesoscopic model to account for along-the-front non-locality is proposed. This model eliminates pathological growth patterns ubiquitous to basic models applied to three-dimensional cracks. Further, the model is straightforward to use as it relies on standard fracture properties only. |
Databáze: | OpenAIRE |
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