This paper proposes a novel approach that combines variational integration with the bonded discrete element method (BDEM) to achieve faster and more accurate fracture simulations. The approach leverages the efficiency of implicit integration and the accuracy of BDEM in modeling fracture phenomena. We introduce a variational integrator and a manifold optimization approach utilizing a nullspace operator to speed up the solving of quaternion-constrained systems. Additionally, the paper presents an element packing and surface reconstruction method specifically designed for bonded discrete element methods. Results from the experiments prove that the proposed method offers 2.8 to 12 times faster state-of-the-art methods.

翻译：本文提出一种新颖方法，将变分积分与键合离散单元法（BDEM）相结合，以实现更快、更精确的断裂模拟。该方法充分利用隐式积分的效率与BDEM在断裂现象建模中的精确性。我们引入变分积分器，并采用基于零空间算子的流形优化方法，以加速四元数约束系统的求解。此外，本文还提出一种专为键合离散单元法设计的单元填充与表面重构方法。实验结果表明，所提方法相比现有最新技术可实现2.8至12倍的速度提升。