2. Reference Solution#

_images/100000000000030D000002E0F153CB3F3DC70C85.png _images/100000000000030F000002EEAF23BC7F5D4A56D2.png

Figure 1 : Willam test results for (\({\mathrm{\sigma }}_{\mathit{xx}}\) on the left, \({\mathrm{\sigma }}_{\mathit{yy}}\) on the right)

_images/1000000000000308000002D175A954765F4553F6.png _images/1000000000000296000001E57A0A1F53DB49C2C1.png

Figure 2: Willam test results for (\({\mathrm{\sigma }}_{\mathit{xy}}\) on the left) and the BETON_RAG model (on the right)

It can be seen that the stress \({\mathrm{\sigma }}_{\mathit{yy}}\) is low, due to an effect of initial cracking in the \(\mathrm{xx}\) direction. We also notice a change of sign for the \({\sigma }_{\mathrm{xy}}\) constraint characteristic of anisotropic models. This test confirms the ability of the model to converge when a rotation of the main stress directions is applied.

    • Bibliographical references

Shahrockh Ghavamian, Ignacio Carol, Arnaud Delaplace, « Discussions over MECA project results », French Journal of Civil Engineering, Volume 7 of 2003, page 543-581