| Issue |
MATEC Web Conf.
Volume 310, 2020
4th International Scientific Conference Structural and Physical Aspects of Construction Engineering (SPACE 2019)
|
|
|---|---|---|
| Article Number | 00006 | |
| Number of page(s) | 9 | |
| DOI | https://doi.org/10.1051/matecconf/202031000006 | |
| Published online | 05 March 2020 | |
Path-independent J-integral for cracks in decagonal quasicrystals
Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia
* Corresponding author: jan.sladek@savba.sk
The path-independent J-integral is derived for fracture mechanics analysis of decagonal quasicrystals (QCs). The gradient theory of quasicrystals is developed here to consider large strain gradients at the crack tip vicinity. The constitutive equations contain phonon and phason stresses, and the higher-order stress tensor. The higher-order elastic material parameters are proportional to the internal length material parameter and the conventional elastic coefficients. The FEM equations are derived to solve general boundary value problems for the strain gradient theory of the QCs.
© The Authors, published by EDP Sciences, 2020
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