v3.04.134 SSLV134 - Circular crack in an infinite environment#
Summary
This test allows, after obtaining the displacement field by MECA_STATIQUE, the calculation of the local energy restoration rate for a circular crack immersed in a medium that is supposed to be infinite.
For the first modeling, only a half-space defined by the plane of the crack is represented. The crack bottom is then a closed curve (a circle) and is defined as such in DEFI_FOND_FISS. The local return rate is compared to the reference analytical solution.
The following seven models make it possible to calculate the stress intensity factors \(\mathrm{K1}\) and \(\mathrm{K3}\), in \(\mathrm{3D}\) and axisymmetric, calculated by POST_K1_K2_K3 and/or CALC_G (models FEM)/CALC_G_XEM (models X- FEM).
Modeling A tests \(G\) for a \(\mathrm{3D}\) mesh with the crack closed,
B modeling tests \(\mathit{K1}\) for a \(\mathrm{3D}\) mesh,
C modeling tests \(\mathit{K1}\) for an axi-symmetric mesh,
D modeling tests the combination of \(\mathrm{K1}\) and \(\mathrm{K3}\) for a \(\mathrm{3D}\) mesh.
H modeling tests \(\mathrm{K1}\) for a non-meshed crack (method \(\text{X-FEM}\))
Modeling I tests \(\mathrm{K1}\) for a non-meshed axi-symmetric crack (method \(\text{X-FEM}\))
The J modeling tests \(G\) for a \(\mathrm{3D}\) mesh with the crack closed for incompressible elements,
K-modeling tests \(\mathrm{K1}\) for an axi-symmetric mesh for incompressible elements,
The L modeling tests \(G\) for a \(\mathrm{3D}\) mesh with the crack closed (method \(\text{X-FEM}\)).
M modeling tests \(G\) for a \(\mathrm{3D}\) mesh with the crack closed in large transformations.