Modelling the nanomechanical response of a micro particle-matrix system for nanoindentation tests

A lot of experimental, numerical simulation and analytical modelling work has been done on how the substrate affects the measured hardness and elastic modulus of the coating/substrate system for nanoindentation tests. Little work has been done on the elastic-plastic behaviour of micro particle-matrix systems. Clifford et al have proposed an empirical model to describe the spatially dependent composite modulus during nanoindentation tests for linear elastic particles embedded in a linear elastic matrix. However, no such models have been developed for elastic-plastic composites. In this study, finite element simulations were used to determine the elastic modulus and hardness of hard particles embedded in a soft matrix and vice versa. An extended Clifford model has been developed to determine the elastic modulus and hardness for elastic-plastic composites with various particle shapes and volume fractions.