13 - Multiscale modeling of the response and life prediction of composite materials

Abstract

This chapter outlines a multiscale computational modeling framework for predicting the response and life of composites. The proposed multiscale model is based on the computational homogenization theory, which is generalized to space–time in order to answer the life prediction problem. We discuss the differences between classical homogenization-based spatial multiscale modeling and its application to the multiple time scales. Reduced order modeling in space and time is introduced to alleviate one of the most formidable challenges in multiscale modeling, namely, computational complexity. We describe the eigendeformation-based reduced-order homogenization theory for spatial model reduction and quasi-linear microchronological equilibrium approximation for temporal reduction. The proposed multiscale framework is used to investigate the failure response of carbon fiber-reinforced polymer composites subjected to monotonic and cyclic loads. The framework is calibrated and validated against experimental data. The investigations reveal the potential and power of the proposed approach in predicting the complex failure mechanisms in composites.