• A multiscale framework is proposed for modeling the anisotropic damage in structures. • A homogenized model (M-DDHAD) is coupled with a localized high-fidelity model. • Crack initiation and propagation in heterogeneous structure are accurately captured. • Damage in large-scale heterogeneous structure is simulated with improved efficiency. • Results from multiscale models are compared to those of full high-fidelity models. The prediction of the mechanical response of strongly heterogeneous structures containing defects critically depends on accurately capturing crack nucleation at micro scale. Fully resolved (high-fidelity) models are costly, whereas homogenized approaches may fail to represent initiation near heterogeneities. An efficient multiscale method is proposed in this work to simulate crack nucleation and propagation by bridging a high-fidelity micro-subdomain, dedicated to initiation, with a homogenized macro-subdomain used for propagation. The two subdomains overlap, may be discretized with nonconforming meshes, and are coupled through an energy-based formulation. The main contribution lies in the use, at the macro scale, of a surrogate anisotropic damage model constructed offline within the DDHAD (Data-Driven Harmonic Analysis of Damage) framework. This model reproduces direction-dependent crack propagation, while nucleation is resolved at the micro scale by the high-fidelity model. Significant computational speed-ups are achieved as compared to high-resolution simulations of the entire structure, and by accurately capturing initiation of the cracks in the microstructure. Examples on heterogeneous media exhibiting strong preferred crack orientations are presented to illustrate the potential of the approach.
Chafia et al. (Wed,) studied this question.