Homogenization of Composites with Extended General interfaces: Comprehensive Review and Unified Modeling

Abstract Interphase regions that form in heterogeneous materials through various underlying mechanisms such as poor mechanical or chemical adherence, roughness, and coating, play a crucial role the response of medium. A well- established strategy to capture finite-thickness interphase behavior is replace it with zero-thickness interface model characterized by its own displacement and/or traction jumps, resulting different models. The contributions date dealing interfaces commonly assume located middle corresponding interphase. We revisit this assumption introduce universal model, wherein unifying approach homogenization embedding between their constituents developed. proposed novel sense can recover any classical Next, via incorporating into homogenization, we develop bounds estimates for overall moduli fiber-reinforced particle-reinforced composites functions position properties. Furthermore, elaborate on computational implications model. Finally, carry out comprehensive numerical study highlight influence position, stiffness ratio parameters properties composites, where an excellent agreement analytical results observed. developed interface-enhanced framework also successfully captures size effects, which are immediately relevant emerging applications nano-composites due pronounced effects at small scales.