Composite Homogenization, De-Homogenization, and Matrix Failure

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. 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.