This paper briefly summarizes ongoing developments on C-M coupled modelling of concrete swelling due to external sulfate attack and due to alkali-silica reaction. Both models are based on a meso-mechanical model for concrete, previously developed for purely mechanical actions, that has been also used as the basis for modelling other coupled phenomena such as drying shrinkage and mechanical effects of high temperatures. Additionally, two new experimental setups are presented. One devoted to the study of ASR expansions at the level of a single aggregate-matrix (cement paste or mortar) interface and the other devoted to study ASR expansions in concrete under triaxial confinement.