2. Modeling A#

2.1. Characteristics of modeling A#

The modeling is 3D and uses law ENDO_ORTH_BETON.

2.2. Characteristics of the mesh#

Number of knots: 8

Number of meshes and type: 1 HEXA8

2.3. Loading description#

2.3.1. First step: traction along the X axis#

  • side \(\mathrm{ADHE}\): \(\mathrm{DX}=0\)

  • side \(\mathrm{ABFE}\): \(\mathrm{DY}=0\)

  • side \(\mathrm{ABCD}\): \(\mathrm{DZ}=0\)

  • side \(\mathrm{DCGH}\): \(\mathrm{DY}=0\)

  • side \(\mathrm{EFGH}\): \(\mathrm{DZ}=0\)

  • side \(\mathrm{BCGF}\): \(\mathrm{DX}=\mathrm{2,5}\times {10}^{-3}\)

The displacement \(\mathrm{DX}\) imposed on face \(\mathrm{BCGF}\) varies progressively according to the function shown in the figure below. Once the maximum is reached at \(t=\mathrm{1s}\), the \(\mathrm{DX}\) movement of the face \(\mathrm{BCGF}\) is then blocked for the next steps.

_images/10000000000002EF0000011B33F3EF25335824A3.png

2.3.2. Second step: traction along the Y axis#

  • side \(\mathrm{ADHE}\): \(\mathrm{DX}=0\)

  • side \(\mathrm{ABFE}\): \(\mathrm{DY}=0\)

  • side \(\mathrm{ABCD}\): \(\mathrm{DZ}=0\)

  • side \(\mathrm{BCGF}\): \(\mathrm{DX}=0\)

  • side \(\mathrm{DCGH}\): \(\mathrm{DY}=\mathrm{2,5}\times {10}^{-3}\)

The displacement \(\mathrm{DY}\) imposed on face \(\mathrm{DCGH}\) varies progressively according to the function shown in the figure below. Once the maximum is reached at \(t=\mathrm{2s}\), the \(\mathrm{DY}\) movement of the face \(\mathrm{DCGH}\) is then blocked for the next steps.

_images/10000000000002F10000012340F951E8A24542B7.png

2.3.3. Third and fourth steps: charging, discharging, and compressing along the Z axis#

  • side \(\mathrm{ADHE}\): \(\mathrm{DX}=0\)

  • side \(\mathrm{ABFE}\): \(\mathrm{DY}=0\)

  • side \(\mathrm{ABCD}\): \(\mathrm{DZ}=0\)

  • side \(\mathrm{BCGF}\): \(\mathrm{DX}=0\)

  • side \(\mathrm{DCGH}\): \(\mathrm{DY}=0\)

  • side \(\mathrm{EFGH}\): \(\mathrm{DZ}\ne 0\)

The displacement \(\mathrm{DZ}\) imposed on face \(\mathrm{EFGH}\) varies progressively according to the function shown in the figure below:

_images/10000000000002F0000001F7885C19CDB0A3AA2D.png

2.4. Tested sizes and results#

The results are read at Gauss point 1.

Size

Order Number

Reference Type

Reference

Tolerance (%)

\(\mathrm{V1}\)

\(2\)

Non-regression

\(\mathrm{SIXX}(\mathrm{Pa})\)

\(10\)

Non-regression

\(\mathrm{V2}\)

\(12\)

Non-regression

\(\mathrm{SIYY}(\mathrm{Pa})\)

\(20\)

Non-regression

\(\mathrm{V3}\)

\(22\)

Non-regression

\(\mathrm{SIZZ}(\mathrm{Pa})\)

\(25\)

Non-regression

\(\mathrm{V3}\)

\(31\)

Non-regression

\(\mathrm{SIZZ}(\mathrm{Pa})\)

\(40\)

Non-regression

Table 2.4-1