2. Benchmark solution#

2.1. Calculation method used for the reference solution#

Given the nature of the stresses, total deformation is only due to shrinkage and thermal expansion. As a result, we have:

_images/Object_9.svg

with:

  • \(T\), the temperature at time \(t\)

  • \({T}_{\mathrm{ref}}\), the reference temperature

  • \({C}_{0}\), the initial water content (humidity level \(\text{HR=100\%}\)).

  • \(C\), the water content at time \(t\)

  • \(h\), the degree of hydration at time \(t\)

  • \(\alpha\), the expansion coefficient

  • \(\kappa\), the desiccation shrinkage coefficient

  • \(\beta\), the endogenous shrinkage coefficient

Since the elastic deformations are zero in this problem, the stresses are zero, as is the damage in the case of models with the law of MAZARS and ENDO_ISOT_BETON.

2.2. Benchmark results#

The deformation value is checked after 3600 days, as well as the stress. It is also checked that the plastic deformation is zero, as well as the damage for the models concerned. The results are tested with STAT_NON_LINE as well as with MECA_STATIQUE (for the \(A\) and \(B\) models).