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- Title
Mode-I Plane Elasticity Problem of Two Asymmetrical Edge Cracks Emanating from an Elliptical Hole in Two-Dimensional Decagonal Quasicrystals.
- Authors
Yu, Jing
- Abstract
We consider the plane elasticity problem of two asymmetrical edge cracks emanating from an elliptical hole in two-dimensional decagonal quasicrystals (QCs) under remotely uniform tensile stress. A complex variation method of two-dimensional QCs is developed to solve the plane elasticity problem of two-dimensional decagonal QCs containing complex defects. The analytical solutions for the stress field and the stress intensity factors near the crack tip are expressed by using a conformal mapping technique and complex potential theory. Some special cases of the results are also obtained, such as the T-type crack, cross crack, and Griffith crack. The effects of geometrical parameters of crack configuration on the stress intensity factors are presented graphically.
- Subjects
QUASICRYSTALS; ELASTICITY; CONFORMAL mapping; ANALYTICAL solutions; STRESS intensity factors (Fracture mechanics)
- Publication
Crystals (2073-4352), 2023, Vol 13, Issue 7, p1038
- ISSN
2073-4352
- Publication type
Article
- DOI
10.3390/cryst13071038