3. A and B models

3.1. Characteristics of modeling and meshing

This is axisymmetric modeling (AXIS_GRAD_VARI). The corresponding geometry is a rectangle, i.e. the bar is arranged vertically and its cross section (without influence) is circular.

The mesh consists of a single element according to the radius. Depending on the axis, the elements have a size of \(2.5\mathrm{mm}\). The mesh thus generated is finally made up of 150 quadrangular elements with 8 nodes.

3.2. Tested sizes and results

The modeling and the algorithm for integrating non-local laws are validated by examining the level of damage (internal variable \(\mathrm{V1}\)) at the different loading levels and at the different geometric locations listed in [Table 2.6-1]. The results are combined in the extract from the result file below.

Identification	Instant	Reference
\(\mathrm{V1}(x=-7.5)\)	2,70000000000000E-04	1,93274688119012E-02
\(\mathrm{V1}(x=+7.5)\)	2.70000000000000E-04	1.41846675324338E-01
\(\mathrm{V1}(x=-7.5)\)	7,3484692282834953E-04	1,39107889370765E-01
\(\mathrm{V1}(x=+7.5)\)	7,3484692283434953E-04	3,80008828951670E-01
\(\mathrm{V1}(x=-7.5)\)	1,1046444494958548E-02	6,14240950943351E-01
\(\mathrm{V1}(x=+7.5)\)	1.1046444494958548E-02	9.77312427816067E-01