2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130108Although fully elastic when static, granular media become transiently elastic when being slowly sheared -- during which both the elastic energy and stress relax. Starting from this observation, we cogently derive the framework for granular hydrodynamics, a set of differential equations consistent with general principles of physics, especially reversible and irreversible thermodynamics. In addition, an expression for the granular elastic energy is reviewed and further discussed.Soft Condensed MatterHydrodynamic Theory of Granular Solids: Permanent, Transient and Granular Elasticitytext