Development of size and shape dependent model for bulk modulus from bulk to nanoscale

Abstract

A simple theory based on the bond energy model is developed. The model is used to study the bulk modulus of different nanomaterials. A good agreement between theory and experiments demonstrates the suitability of the model proposed. Due to simplicity and applicability of the model, we extended the theory to study the size and shape dependence of bulk modulus of different nanomaterials. The results have been compared with the earlier theoretical work and available experimental data. It is concluded that the model predicts better agreement with the earlier work as far as experimental studies are concerned. Due to the predicting capability, the model is extended to different nanomaterials of current interest to study their elastic behaviour under varying conditions of size and shape. To the best of our knowledge, such a simple model is not yet available in the literature, which works well from bulk to nanoscale.