Due to increasing demands concerning the durability, the design as well as the sustainability of concrete structures, it becomes more relevant to gain fundamental understanding of the material. Especially the long-term performance as well as the aging behavior is of main interest. As a result, processes, which influence the aging of material have to be captured and understood. The main source of aging is the hydration of the cement paste, which is known to have an influence on the time dependent properties such as shrinkage as well as on the evolution of the mechanical properties. Consequently, it is mandatory to have a computational framework, which is able to capture all aging related phenomena. In this contribution, the framework for the chemo-mechanical coupling only is presented, i.e. how the time-dependence of the local mechanical properties is formulated.