2. Modeling A: meshed crack in dimension 2#

In this modeling, we consider the structure in \(\mathrm{2D}\). The classical finite element method is used. This modeling is used as a reference for the future.

2.1. Characteristics of the mesh#

The structure is modelled by a regular mesh composed of \(100\mathrm{\times }100\) QUAD8, respectively along the axes \(x\), \(y\). The crack is meshed.

2.2. Tested sizes and results#

We test the values of the following displacement \(X\) and \(Y\) of the end point “PTEXTR” with coordinates \((1;1)\).

We also test the value of the stress intensity factor \({K}_{I}\) given by CALC_G, option K, as well as that given by the \({K}_{I}\) of POST_K1_K2_K3 [bib2].

Finally, we test the \(G\) given by CALC_G, option G.

All of these tests are non-regression tests.

The values obtained for DX, DY, G and the value of K1 obtained serve as reference values for the following models.

Identification

Code_Aster

DX (PTEXTR)

  • 8,7404263 10-4

DY (PTEXTR)

3.826096 10-3

K1 (CALC_G/OptionK)

9.0328413 106

K1 (POST_K1_K2_K3)

8,4543655 106

G (CALC_G/OptionONG)

492.82