3. B modeling#
3.1. Characteristics of modeling#
The field \(\theta\) is calculated then the energy release rate \(G\), the stress coefficients \({K}_{1}\) and \({K}_{2}\), the energy recovery rate obtained by the formula d’IRWIN, the direction of propagation of the crack, are calculated.
3.2. Characteristics of the mesh#
Number of knots: 673
Number of meshes and types: 112 QUAD8 meshes and 142 TRIA6 meshes
3.3. Tested sizes and results#
The values tested are the energy recovery rate calculated by the theta method and the energy recovery rate calculated by the formula IRWIN using the stress intensity coefficients \({K}_{1}\) and \({K}_{2}\).
Identification |
Reference |
Tolerance |
Crowns 1 to 6 \(G\) |
|
< 1% |
Crowns 1 to 6 \(G\) (IRWIN) |
\(2.3093{10}^{\mathrm{-}3}\) |
< 1% |
Crowns 1 to 6 \({K}_{1}\) |
|
< 1% |
Crowns 1 to 6 \({K}_{2}\) |
|
absolute |
3.4. note#
The calculation of \(G\), \({K}_{1}\), \({K}_{2}\), \(G\) (IRWIN) \(\mathrm{=}\frac{1}{E}({K}_{1}^{2}+{K}_{2}^{2})\) was carried out from 6 different \(\theta\) fields, each corresponding to a circular crown centered in \(C\).