A Practical Finite Element Approach for Simulating Dynamic Crack Growth in Cu/Ultra Low-k Interconnect Structures

Fuente: arXiv
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Auteurs principaux: Xie, Yuxi, Wu, Ethan J., Xu, Lu, Perez, Jimmy, Li, Shaofan
Format: Preprint
Publié: 2025
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author Xie, Yuxi
Wu, Ethan J.
Xu, Lu
Perez, Jimmy
Li, Shaofan
author_facet Xie, Yuxi
Wu, Ethan J.
Xu, Lu
Perez, Jimmy
Li, Shaofan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_00193
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Practical Finite Element Approach for Simulating Dynamic Crack Growth in Cu/Ultra Low-k Interconnect Structures
Xie, Yuxi
Wu, Ethan J.
Xu, Lu
Perez, Jimmy
Li, Shaofan
Computational Engineering, Finance, and Science
Systems and Control
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.
title A Practical Finite Element Approach for Simulating Dynamic Crack Growth in Cu/Ultra Low-k Interconnect Structures
topic Computational Engineering, Finance, and Science
Systems and Control
url https://arxiv.org/abs/2508.00193