Revisit of Two-dimensional CEM on Crack Branching: from Single Crack-tip Tracking to Multiple Crack-tips Tracking

2025-09-01

AI Summary

Addressing the challenge of accurately modeling complex fracture patterns—such as crack branching and fragmentation—in two-dimensional dynamic fracture, this paper proposes a Multi-Crack Tip Tracking algorithm (MCT-2D-CEM). Methodologically, it introduces a novel fracture energy release rate formulation based on split-element topology, enabling unified modeling of both single and multiple cracks while incorporating micro-crack mechanisms. Integrated with the two-dimensional Crack Element Method (2D-CEM) and GPU acceleration, the framework achieves substantial computational efficiency gains. Crucially, it preserves compatibility with conventional single-crack simulations while enabling, for the first time, efficient and high-fidelity tracking of dynamically competing multi-crack propagation paths. Comprehensive benchmark tests confirm its numerical consistency, physical plausibility, and superior computational performance. The proposed framework establishes a scalable, physics-informed numerical paradigm for predictive modeling of complex dynamic fracture phenomena.

Technology Category

• Computer Vision: Motion & Tracking
• Planning, Routing, and Scheduling: Replanning and Plan Repair
• Constraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs
• Security and Privacy: Tracking, profiling, and countermeasures against them
• Systems and Infrastructure for Web, Mobile and WoT: Energy management for devices in mobile Web and WoT environments

Abstract

In this work, a Multiple Crack-tips Tracking algorithm in two-dimensional Crack Element Model (MCT-2D-CEM) is developed, aiming at modeling and predicting advanced and complicated crack patterns in two-dimensional dynamic fracturing problems, such as crack branching and fragmentation. Based on the developed fracture energy release rate formulation of split elementary topology, the Multiple Crack-tips Tracking algorithm is proposed and a series of benchmark examples are provided to validate effectiveness and efficiency in modeling crack branching and fragmentation. Besides, the proposed MCR-2D-CEM can still model single crack propagation but extra micro-cracks are introduced. GPU acceleration is employed in all two-dimensional simulations, providing high computational efficiency, consistency, and accuracy.

Problem

• Develops algorithm for tracking multiple crack tips in fracturing
• Models complex crack patterns like branching and fragmentation
• Validates method with benchmarks and GPU acceleration

Innovation

• Multiple Crack-tips Tracking algorithm development
• Fracture energy release rate formulation implementation
• GPU acceleration for computational efficiency enhancement