I am doing research related to corrosion. I am using the half-cell potential method and the concrete resistivity method. One of the factors I am considering is the effect of moisture content.
To establish moisture conditions which are equal at every spot inside the specimen the method of choice is a storage inside a exsiccator obove a saturated cloride solution. There are different typs of solutions for different humidity degrees on the marked. Depending on the size of your specimen it takes more or less time until you reach the equilibrium (e.g. mass constancy)
One paper of reference giving the relative humidity RH (%) as a function of the temperature for various saturated ionic solutions is that of Greenspan (1981). See the link below.
You can control that the equilibrium state is atteined by weighting periodically your samples: as stated by Udo Antons above, the moisture content in the sample will be homogeneous in these conditions (it strongly depends on the size of the specimens).