Interface coupling method for the global–local analysis of heterogeneous models: A second-order homogenization-based strategy

Abstract

This paper proposes a coupling strategy between a homogeneous macroscopic description of a structure and a description at a lower scale of some local details. In order to facilitate its implementation in industrial software, an interface coupling technique using a separation between micro and macro quantities of the unknowns is proposed. The approach leads to local solutions equivalent to those that would be obtained by second-order homogenization techniques. Its interest is that it does not require neither the construction of a second-order homogenized model nor a localization stage. The approach is validated against direct numerical simulations at microscopic scale on periodic structures under uniform and linear macroscopic strains loads.