合理化多尺度断裂力学计算费用的分区模型降阶方法
A partitioned model order reduction approach to rationalise computational expenses in multiscale fracture mechanics
摘要：
本文提出了一种基于区域划分的自适应降阶断裂参数化建模方法。我们表明，耦合区域分解和基于投影的模型降阶允许集中在最需要的数值努力：周围的区域，损伤传播。不需要损伤模式的\textit{a priori}知识，相应空间区域的提取仅基于代数。通过一个工程断裂问题的算例，验证了该方法的有效性。
英文摘要：
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.
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