Fig.2 The load-displacement curve for the I-shaped specimen. Contour plots of the fracture phase field at various stages
5.3 Single-edge notched specimen
This is the most common benchmark test used in the verification of the phase-field fracture models. The single-edge notched test is investigated in detail, both experimentally and numerically.48-51 The same investigation performed to compare predictions of the proposed phase-field model with the aforementioned results. Firstly, the specimen is subjected to the tensile load, where the effect of parameter is considered. Afterward, the specimen is subjected to the shear load, where the proposed model is tested with the two different values of the \(n\). Loading is applied by \(\Delta u=\ 10e-3\ \)mm for 1000 steps.
5.3.1 Single-edge notched tension test
The boundary conditions used in this example are shown in Table 3-II. The specimen domain is discretized by \(10455\) finite elements.
Fig.3 depicts the crack phase-field at several stages. In the illustrated Single-edge notched tension test the crack propagates horizontally. A phenomenon that is observed in the simulation is that the phase-field evolution takes place mainly in front of the crack tip which results in stable crack propagation. The crack pattern is in agreement with both the works of Miehe et al . and Ambati et al .52,48,15 The force-displacement curves in Fig.4 exhibiting ductile behavior.