The invention relates in particular to a method to process composite structures with tailored stiffness and damping performance incorporating a smart material, namely a shear thickening fluid (STF), preferably at the interface between two elements belonging to the same structure and moving relatively to each other. The composite structure incorporating STFs according to this invention may advantageously be used in applications such as sports equipment, aeronautics, aerospace, consumer goods or in any other suitable field where the dynamic properties of the said structure need to be tailored.