This invention relates to a rubbery or elastomeric polymer material taking up more than 5% by weight of water and at most 500% by weight of water after immersion in demineralized water at room temperature for a sufficient time to reach saturation, comprising: (a) repeating units from one or more hydrophobic organic monomers, and (b) repeating units from one or more monomers (a) being modified with one or more hydrophilic side groups. The rubbery or elastomeric polymer material may be in the form of a sheet, a foam, a coating adapted for adhesion to a substrate, or a fiber. This invention also relates to processes, polymerizable compositions, and foaming compositions for producing such rubbery or elastomeric polymer materials.