This presentation discusses the explicit implementation of the solidificationmicroprestress (SM) theory within the Lattice Discrete Particle Model (LDPM). Aging effect is obtained using a global reaction degree of concrete obtained by a
multi-physics model evolving temperature, humidity and cement degree of reaction in full coupling over time and space. Then explicit rate-type visco-elastic and viscous creep eigenstrains are implementation within the LDPM framework. Finally, extensive calibration and validation of the model is pursued by numerical simulations of experimental data from literature. Then, multi-decade deformation simulations are presented along with the effects of creep model parameter uncertainty to show its robustness