Model order reduction in computational multiscale fracture mechanics

Abstract

Nowadays, the model order reduction techniques have become an intensive research field because of the increasing interest in the computational modeling of complex phenomena in multiphysic problems, and its consequent increment in high-computing demanding processes; it is well known that the availability of high-performance computing capacity is, in most of cases limited, therefore, the model order reduction becomes a novelty tool to overcome this paradigm, that represents an immediately challenge in our research community. In computational multiscale modeling for instance, in order to study the interaction between components, a different numerical model has to be solved in each scale, this feature increases radically the computational cost. We present a reduced model based on a multi-scale framework for numerical modeling of the structural failure of heterogeneous quasibrittle materials using the Strong Discontinuity Approach (CSD). The model is assessed by application to cementitious materials. The Proper Orthogonal Decomposition (POD) and the Reduced Order Integration Cubature are the proposed techniques to develop the reduced model, these two techniques work together to reduce both, the complexity and computational time of the high-fidelity model, in our case the FE2 standard model.