A polymeric coating composition for use in overlaying at least a portion of a substrate element composed of a plural component polymeric system composed of a reactive blend of at least one first component and at least one second component, wherein the first component essentially of a polymer and/or blend of polymers present in an amount sufficient to impart a predetermined amount of tensile strength, hardness, flexibility and adhesive strength to the resulting polymeric coating, and the second component is an isocyanate or isocyanate quasi-prepolymer. The substrate element is a blast-resistant polymeric material having low surface energy and/or low reactivity at or near the surface of the substrate. Also disclosed is a blast and/or ballistic-resistant construction element composed of a structure having the aforementioned polymeric material thereover. The polymeric material has a substrate matrix containing at least one of ultrahigh molecular weight polyethylene, aramid materials, and the like.