Interface Debonding Between a Platelike Nanomaterial and the Substrate

A study was conducted to employ the nanoplate theory in a number of equations and a cohesive zone model to investigate the interface debonding between a platelike nanomaterial and the substrate. Nondimensional forms of the nanoplate equations were reformulated. A cohesive zone model characteristic of the van der Waals bond was used to describe the progressive nanoplate-substrate debonding. Analytical solutions of deflection of the nanoplate and interfacial crack extension due to the debonding were obtained and the energy dissipated during interface debonding was determined from the analytical solution. It was assumed that the platelike nanomaterial and the substrate were bonded by the van derWaals force, which was represented by the Lennard-Jones (L-J) potential. The solution for the nondimensional deflection problem was also obtained by solving the debonding-bending problem of the nanoplate.