In the present study 3D finite element (FE) analysis has been used to evaluate Young's modulus, shear modulus and coefficient of thermal expansion (CTE) of single-walled carbon nanotubes (SWCNTs). Both armchair and zigzag SWCNTs have been analyzed and some important observations have been made in regard to dependence of elastic moduli and CTE of SWCNTs on important parameters.

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Multi-scale finite element analysis has been performed for determination of longitudinal and transverse Young's moduli of carbon nanotube (CNT)-reinforced alumina matrix nanocomposites considering a square representative volume element (RVE). The square RVE has been used to simulate the stress redistribution around a broken CNT at the interface of CNT and matrix, and ineffective length of the broken CNT has been determined. It has been observed that ineffective length of the broken CNT does not show sufficient dependence on the volume fraction. It is also been observed that high magnitude of interfacial shear stress around the broken CNT exists indicating the chances of fiber debonding.