A nano-enhanced matrix material includes a matrix film carrying one or more nano-additives. The nano-additives may be oriented transversely relative to the matrix film. A composite structure includes a plurality of composite laminate plies and one or more matrix films carrying one or more nano-additive materials, the matrix films being positioned between composite laminate plies. Composite structures may include ball bats, and the matrix films with nano-additive materials may be positioned in selected portions of ball bats, such as wherever improved strength or resistance to fatigue is desired.