A construction structure includes a substrate made of a concrete material and having an external surface, and an external reinforcement attachment. The attachment includes an outwardly facing surface and an inwardly facing surface and has a non-uniform cross-sectional area along the reinforcement attachment. The reinforcement attachment is secured to the substrate with the inwardly facing surface bonded to the external surface of the substrate. The reinforcement attachment has at least first portions and second portions, the two portions are treated such that the first portions have a greater cross-sectional area than the second portions for increasing yield strength of the first portions whereby when the construction structure is under stress the first portions block or reduce spreading of strain sustained by the reinforcement attachment to avoid or at least delay complete detachment of attachment from the substrate.