A partitioned model order reduction approach to rationalise computational expenses in multiscale fracture mechanics

TL;DR

This paper introduces an adaptive domain partitioning and model reduction method for fracture mechanics that efficiently focuses computational resources on damage zones without prior damage pattern knowledge.

Contribution

It combines domain decomposition with projection-based model reduction to adaptively target damage regions, reducing computational costs in multiscale fracture simulations.

Findings

Demonstrates significant computational savings in fracture simulations.

Effectively identifies damage zones without prior damage pattern knowledge.

Validates approach with an engineering fracture example.

Abstract

We propose in this paper an adaptive reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus the numerical effort where it is most needed: around the zones where damage propagates. No \textit{a priori} knowledge of the damage pattern is required, the extraction of the corresponding spatial regions being based solely on algebra. The efficiency of the proposed approach is demonstrated numerically with an example relevant to engineering fracture.