Long-term loading represents a fundamental aspect in the mechanical behavior of concrete, as this material exhibits pronounced time-dependent, nonlinear characteristics. When subjected to sustained stresses, concrete undergoes creep, resulting in progressive and often significant deformations even under constant load levels. This phenomenon leads to stress redistribution within structural elements and may substantially alter the internal force paths, particularly in statically indeterminate systems. At the same time, shrinkage develops as a consequence of moisture loss and hydration processes, generating tensile stresses and cracking even in the absence of external mechanical actions. The interaction between creep, shrinkage, and restraint conditions plays a decisive role in the long-term structural response. Moreover, the mechanical properties of concrete are not constant over time. Stiffness and effective strength evolve due to continued hydration, while sustained loading promotes microcrack initiation and growth, resulting in progressive damage and stiffness degradation. These time-dependent mechanisms directly govern serviceability-related quantities such as deflections, crack widths, and prestress losses, which often control the design of concrete structures rather than ultimate strength. In addition, cracking and damage induced by long-term loading significantly affect durability, as they facilitate the ingress of aggressive agents and accelerate degradation processes such as carbonation, chloride penetration, and sulfate attack. In this work, long-term effects are investigated from a meso-scale perspective in order to explicitly capture the influence of coarse aggregates and the stress concentrations induced by their irregular shapes. At this scale, the heterogeneity of concrete becomes evident, and localized stress amplification at the aggregate–matrix interfaces can lead to irreversible strains and damage accumulation over time. To accurately describe these mechanisms, a coupled Visco–Elasto–Plasto–Damage (VEPD) constitutive model is developed [1]. The proposed model accounts for nonlinear material behavior under loading and unloading conditions, incorporating viscous effects, plastic deformations, and damage evolution within a unified framework. Furthermore, several meso-scale representations are proposed to achieve a realistic virtual reconstruction of the concrete geometry, enabling a detailed analysis of stress and strain