The influence of chemical bonds formed between a single-walled carbon nanotube (CNT) and a polymer matrix upon the interface behavior has been studied through the development of an interfacial cohesive law. By using the interatomic potential directly, the tensile cohesive stress and cohesive energy for the interface with opening mode separation are expressed in terms of the area density of the carbon atoms of the CNT, the volume density of the polymer molecules, the material constants of the CNT and the polymer matrix, the parameters in the van der Waals potential, and the Brenner potential and the chemical bond density. This cohesive law avoids any phenomenological assumption between the normal traction and interface opening displacement. For a CNT in an infinite polymer, the shear cohesive stress vanishes, and the tensile cohesive stress depends only on the opening displacement. The cohesive properties, such as the total cohesive energy, have increased significantly, which results in a stronger interfacial bonding due to the creation of new chemical bonds at the interface. The developed cohesive law is useful to study the interaction between the CNT and the polymer, such as in CNT-reinforced composites.Key Words: Cohesive law, chemical bond, van der Waals force, carbon nanotube/polymer interface, nanocomposites
INTRODUCTONSince the discovery of carbon nanotubes (CNTs) [1] and the establishment of new effective techniques to produce CNTs [2], the properties of these novel materials and their potential applications have stimulated considerable interests. For example, the superior mechanical properties of CNTs have made them ideal candidates to replace the traditional fibers in composites with lighter weight and higher strength [3][4][5][6][7][8][9]. To facilitate the full potential of CNTs as reinforcement in nanocomposites, it is essential to understanding the interfacial interactions between CNTs and a polymer matrix. Similar to the conventional fiber-reinforced composites, there are mainly three interaction mechanisms at the CNT/polymer interface, i.e., the covalent chemical bond, mechanical interlocking, and the van der Waals interaction [10,11]. The covalent bond is the strongest adhesion for the interface, which comes from the reaction of atoms between the CNT and the polymer matrix. It is expected that the covalent bond may significantly improve the load transfer efficiency at the interface. For example,