2025/07/31 by Xie, Yuxi, Wu, Ethan J., Xu, Lu +2 · 1 citation
#Computational Engineering #FOS: Computer and information sciences #FOS: Electrical engineering #Finance #Systems and Control (eess.SY) #and Science (cs.CE) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.2508.00193
This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the Edge-based Smoothed Finite Element Method (ES-FEM) to capture the element-wise crack growth while reducing the formation of poorly shaped elements that can compromise numerical accuracy and computational performance. A fracture energy release rate formulation is also developed based on the evolving topology of the split elements. The proposed approach is validated through a series of classical benchmark problems, demonstrating its accuracy and robustness in addressing dynamic fracture scenarios. Finally, the applicability of the CEM is illustrated in a case study involving patterned Cu/Ultra Low-k interconnect structures.