Analytical estimates for elastic properties of composites accounting for canonical interfaces

The objective of this contribution is to provide novel analytical estimates for the effective properties of micro-heterogeneous elastic solids accounting for interfacial effects, and to compare the results with computational simulations using the finite element method. The interphase transition zone between different constituents in the microstructure here is replaced by the recently proposed canonical interface model. The canonical interface model encompasses all previous interface models such as the general interface model, the cohesive interface model, and the elastic interface model. This manuscript presents a comprehensive study covering a broad range of interface parameters and stiffness ratios, demonstrating the utility of the proposed solutions in understanding and fine-tuning composites behavior.