Implicit Bonded Discrete Element Method with Manifold Optimization

作     者：Lu, Jia-Ming Cao, Geng-Chen Li, Chenfeng Hu, Shi-Min 

作者机构：Tsinghua Univ Dept Comp Sci & Technol BNRist Beijing Peoples R China Swansea Univ Bay Campus Zienkiewicz Inst Modelling Data & AI Swansea Wales 

出 版 物：《ACM TRANSACTIONS ON GRAPHICS》 (ACM Trans Graphics)

年 卷 期：2025年第44卷第1期

页      面：1-17页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Discrete element method fracture simulation optimization-based integrator manifold optimization 

摘      要：This article proposes a novel simulation approach that combines implicit integration with the Bonded Discrete Element Method (BDEM) to achieve faster, more stable, and more accurate fracture simulation. The new method leverages the efficiency of implicit schemes in dynamic simulation and the versatility of BDEM in fracture modeling. Specifically, an optimization-based integrator for BDEM is introduced and combined with a manifold optimization approach to accelerate the solution process of the quaternion-constrained system. Our comparative experiments indicate that our method offers better scale consistency and more realistic collision effects than finite element method and material point method fragmentation approaches. Additionally, our method achieves a computational speedup of 2.1 to 9.8 times over explicit BDEM methods.