Composite Homogenization, De-Homogenization, and Matrix Failure (Paperback)

This work presents a unified modelling approach for homogenization and de-homogenization, applicable to unidirectional (UD) composite systems. Emphasis is placed on the uniqueness between the forward (homogenization) and the backward (de-homogenization) modelling processes; so the desired micro fields are truly recovered within the confines of mechanics. An inter-scale failure theory that describes matrix cracking in laminates is then formulated, being based on the recovered micro-fields. Laminate matrix cracking in several well-documented experimental studies are simulated using the inter-scale theory. The simulation captures the major cracking characteristics that are otherwise excluded in failure theories derived at the homogenized composite scale. The general concept of homogenization/de-homogenization is applicable to all composite systems, where responses from micro-macro-global interactions are to be physically described. The approach taken in the formulation of the inter-scale theory serves as an example of both conceptual and practical importance.