4. C modeling#

D_ PLAN modeling, with the XFEM method to represent the crack. Quadratic elements TRIA3.

4.1. Characteristics of the mesh#

The unit square is meshed regularly [] .We maintain the refinement of the previous models.

NOMBRE OF NOEUDS: 10201

NOMBRE OF MAILLES: 20400

TRIA3: 20000

4.2. Tested sizes and results#

The same quantities as in the B model are tested. The stress intensity factors and the displacement field over a part of the domain are checked in relation to the analytical values.

_images/10000201000001230000011001A324B15F82A6A5.png

Figure 4.2-1: Definition of test GROUP_MA Note that for the definition of the test zone, for a variable inclination, the modeling approach is generalized A. Depending on the slope of the crack, the corner of the domain opposite to the crack is tested (see [] and []).

_images/1000020100000123000001106889D726B27DD272.png

Figure 4.2-2: Definition of test GROUP_MA

Stress Intensity Factors Test:

Identification

Reference

Tolerance

CALC_G

K1

1.00

1.0%

K2

0.00

1.0%

G

1.0 10-5

1.0%

4.3. Additional results#

Below, we represent the field of displacement (with offset) for a variable slope of the crack.