
A computational homogenization framework is developed for heterogeneous thermo-chemical-elastic materials. The local response includes thermo-elastic deformations, hydration-induced shrinkage, and elastic moduli that depend on the degree of hydration, and which are coupled to the temperature field. This model allows for the description of early-age cementitious composites, where hydration reactions and heat transfer cause local expansion or shrinkage and modify stiffness. The framework predicts the evolution of macroscopic elastic and thermal properties, as well as macroscopic deformations due to hydration shrinkage and thermal expansion. It relies on Representative Volume Element (RVE) analyses to calculate elastic, thermo-elastic, and chemo-elastic homogenized tensors over a range of degrees of hydration. The constructed macroscopically hydration-temperature-dependent constitutive law can then be used in finite element simulations. The approach is applied in numerical examples involving alkali-activated slag mortars with graphite and metal inclusions, with applications in industrial nuclear waste encapsulation.