Data-driven multiscale finite element method: From concurrence to separation

Abstract This paper aims to propose a novel data-driven multiscale finite element method (data-driven FE2) for composite materials and structures. The correlated scales in the classical FE2 method are here split to be computed sequentially and separately: the microscopic problems are calculated in advance to construct an offline material genome database, which is later used in the macroscopic data-driven analysis. In this new framework, the difficulties in formulating and solving complicated multiscale system are avoided by dealing with single scale problems. Moreover, the online computation of microscopic problems in classical FE2 method is replaced by searching data points over the offline database resulting in a data-driven FE2 method. Thus, the online computing efficiency of structural analysis is significantly improved.