A composite material comprising a matrix polymer selected from the group consisting of a thermoplastic polymer, a thermosetting polymer, and mixtures thereof, 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, having adjacent phyllosilicate platelets and having a water content of at least about 7% by weight, with an intercalant polymer, and without a coupling agent selected from the group consisting of onium ion and silane coupling agents, to form an intercalate composition, thereby achieving sorption of the intercalant polymer between the adjacent platelets of the phyllosilicate to expand the spacing between a predominance of the adjacent phyllosilicate platelets to at least about 10 .ANG., when measured after sorption of the polymer, and thereafter exfoliating the intercalate into a predominance of single platelets.