A method of forming a continuous composite structure includes encapsulating solid additive particles with a first reactive liquid resin forming material and migrating part of the mixture through a porous blanket to form a continuous resin matrix within the blanket with adhesive outer surfaces. A thin coating of a second preselected resin forming material which substantially cures immediately upon application is applied over one major adhesive upper surface of the matrix/blanket while allowing an area of the adhesive surface to remain exposed along one edge of the upper surface thereof. A plurality of preselected flexible lengths of the coated matrix/blanket are individually positioned successively in an overlapping orientation with the exposed adhesive area of the upper surface of the adjoining positioned length tightly affixed to the adhesive lower surface of the succeeding length to form a continuous composite structure. Also, the composite structure and apparatus for producing same.