Development of an RVE and its stiffness predictions based on mathematical homogenization theory for short fibre composites

摘要

Highlights?Generation of RVEs for short fibre composites with periodic boundary conditions for material continuity.?Four different cases of fibre arrangements and different fibre volume fractions studied.?Mathematical theory of homogenization was used to predict the stiffness.?Efficient in predicting the overall behaviour with repetitiveness.AbstractIn this study an attempt is made to generate the microstructure of short fibre composites through representative volume element (RVE) approach and then analyzed using mathematical theory of homogenization with periodic boundary conditions to estimate the homogenized or effective material properties. An algorithm, based on random sequential adsorption technique (RSA), has been developed to generate the RVE for such materials. The goal of the present study is to demonstrate the methodology to generate RVEs which are ef