We propose in this paper a 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 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.

中文翻译：

---

一种合理化非线性断裂力学计算开销的分区模型降阶方法

我们在本文中提出了一种基于域划分的降阶建模技术来解决断裂的参数问题。我们表明，耦合域分解和基于投影的模型阶数减少允许将数值工作集中在最需要的地方：在损伤传播的区域周围。不需要损伤模式的先验知识，相应空间区域的提取完全基于代数。所提出的方法的效率通过一个与工程断裂相关的例子进行了数值论证。