The invention concerns a composite system for reinforcing, in particular, structures made from reinforced concrete or masonry comprising a curable or cured matrix and a textile reinforcement grid, and said two elements taken as such. The aim of the invention is for this system to make it possible to produce a cured composite structure having improved mechanical properties, both in the short term and in the long term (e.g. flexing behaviour, hardness, bending/compression resistance, durability, cohesion). This aim is achieved by the system of the invention in which the grid comprises at least one layer formed: —both from a framework consisting of flat warp yarns and weft yarns; —and from a network binding the framework; characterised in that the binding network is such that it ensures the geometric regularity and dimensional stability of the meshes of the framework, before the grid is applied to the structure to be reinforced. The invention also concerns a method for reinforcing, in particular, structures made from reinforced concrete or masonry, the composite structure obtained from this method, the dry and wet formulations of the curable matrix, and consolidated structures, in particular made from reinforced concrete or masonry.

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