This study presents a new geometry-based crack detection approach for plate structures based on the integration of a dynamic extended finite element method (XFEM) and a physics-based optimization algorithm called enhanced vibrating particles system (EVPS). The so-called XFEM-EVPS method is applied to solve a forward problem. The problem is unraveled by applying traction loading phases and capturing environmental responses in two dimensions in each phase. Then, the EVPS algorithm is deployed to solve the inverse problem. The studied plate structures are analyzed by means of both fine and coarse meshing. Furthermore, each dissolved problem is similarly investigated through applying noise. The results indicate the efficiency of the proposed XFEM-EVPS method in detecting crack location. A comparative study is further conducted to benchmark the performance of the XFEM-EVPS method against a hybrid XFEM and particle swarm optimization approach.

这项研究基于动态扩展有限元方法（XFEM）和基于物理的优化算法（称为增强振动粒子系统（EVPS））的集成，提出了一种用于板结构的基于几何的新裂纹检测方法。所谓的XFEM-EVPS方法用于解决前向问题。通过应用牵引载荷阶段并捕获每个阶段中二维的环境响应，可以解决该问题。然后，采用EVPS算法解决反问题。所研究的板结构通过细网格和粗网格进行分析。此外，通过应用噪声类似地研究了每个解决的问题。结果表明所提出的XFEM-EVPS方法在检测裂纹位置方面的效率。