A composite material comprising a matrix polymer in an amount of about 40% to about 99.95% by weight of the composite material, and about 0.05% to about 60% by weight exfoliated platelets of a phyllosilicate material, said platelets derived from an intercalate formed by contacting a phyllosilicate with an intercalating composition containing an intercalant surface modifier, said intercalant surface modifier including an alkyl radical having at least 6 carbon atoms, without a coupling agent selected from the group consisting of onium ion and silane coupling agents, said intercalating composition having a concentration of said intercalant surface modifier of at least about 2% by weight, and a second intercalant selected from the group consisting of a polymerizable monomer, a polymerizable oligomer, a polymer, and a mixture thereof, wherein the concentration of said second intercalant in said intercalating composition is at least about 1% by weight, said second intercalant included in the intercalating composition in a quantity sufficient to incorporate multiple layers of said second intercalant between adjacent phyllosilicate platelets, and to achieve sorption of the intercalant surface modifier having alkyl radicals extending perpendicular to the phyllosilicate platelets to expand the spacing between a predominance of the adjacent phyllosilicate platelets at least about 10 .ANG., when measured after sorption of the said intercalant.