标题： 基于局部非侵入性降阶基方法的参数化裂纹建模 显示英文标题

标题： Parameterized crack modelling based on a localized non-intrusive reduced basis method

摘要： 此贡献提出了一种模型降阶策略，用于在样条离散化上对具有裂纹的问题进行快速参数化建模。 在损伤检测的背景下，参数化降阶模型（ROMs）通过建立模拟过程的高效离线/在线分割，非常适合快速计算。 关注的问题集中在描述裂纹配置的几何参数上，这些参数可能在构建高效的ROM时带来挑战。 这项工作提出了一种基于非侵入式降阶基方法和针对具有移动不连续性的参数化问题的定位策略的框架。 非侵入式ROM和定位相结合的优势使得准确且高效的降阶成为可能，并且在线成本较低。 我们通过在用样条离散化的线弹性问题上的基准测试以及用于裂纹建模的扩展等几何方法（XIGA）来展示ROM方法的适用性。 我们获得的结果表明了所构建的降阶模型的准确性与时效性。 显示英文摘要

摘要： This contribution presents a model order reduction strategy for fast parametric modelling of problems with cracks formulated on spline discretizations. In the context of damage detection, parametric reduced order models (ROMs) are well suited for fast computations by establishing an efficient offline/online split of the simulation process. The problems of interest focus on geometric parameters that describe the crack configuration and may pose challenges to constructing efficient ROMs. This work proposes a framework based on non-intrusive reduced basis methods and a localization strategy tailored to parametric problems with moving discontinuities. The combined benefits of non-intrusive ROMs and localization enable accurate and efficient reduction with low online cost. We demonstrate the applicability of the ROM approach with benchmark tests on linear elastic problems discretized with splines and the extended isogeometric method (XIGA) for crack modelling. The results we obtain show the accuracy and real-time efficiency of the constructed reduced order models.