Rod-Bonded Discrete Element Method

IF 2.5 4区计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

Graphical Models Pub Date : 2024-04-11 DOI:10.1016/j.gmod.2024.101218

Kangrui Zhang , Han Yan , Jia-Ming Lu , Bo Ren

引用次数: 0

Abstract

The Bonded Discrete Element Method (BDEM) has raised interests in the graphics community in recent years because of its good performance in fracture simulations. However, current explicit BDEM usually needs to work under very small time steps to avoid numerical instability. We propose a new BDEM, namely Rod-BDEM (RBDEM), which uses Cosserat energy and yields integrable forces and torques. We further derive a novel Cosserat rod discretization method to effectively represent the three-dimensional topological connections between discrete elements. Then, a complete implicit BDEM system integrating the appropriate fracture model and contact model is constructed using the implicit Euler integration scheme. Our method allows high Young’s modulus and larger time steps in elastic deformation, breaking, cracking, and impacting, achieving up to 8 times speed up of the total simulation.

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杆结合离散元素法

近年来，粘结离散元素法（BDEM）因其在断裂模拟中的良好性能而引起了图形学界的兴趣。然而，目前的显式 BDEM 通常需要在非常小的时间步长下工作，以避免数值不稳定性。我们提出了一种新的 BDEM，即 Rod-BDEM (RBDEM)，它使用 Cosserat 能量并产生可积分的力和扭矩。我们进一步推导出一种新颖的 Cosserat 杆离散化方法，以有效表示离散元素之间的三维拓扑连接。然后，我们使用隐式欧拉积分方案构建了一个完整的隐式 BDEM 系统，该系统集成了适当的断裂模型和接触模型。我们的方法允许在弹性变形、断裂、开裂和撞击中使用高杨氏模量和更大的时间步长，使总模拟速度提高了 8 倍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Graphical Models 工程技术-计算机：软件工程

CiteScore

3.60

自引率

5.90%

发文量

审稿时长

47 days

期刊介绍： Graphical Models is recognized internationally as a highly rated, top tier journal and is focused on the creation, geometric processing, animation, and visualization of graphical models and on their applications in engineering, science, culture, and entertainment. GMOD provides its readers with thoroughly reviewed and carefully selected papers that disseminate exciting innovations, that teach rigorous theoretical foundations, that propose robust and efficient solutions, or that describe ambitious systems or applications in a variety of topics. We invite papers in five categories: research (contributions of novel theoretical or practical approaches or solutions), survey (opinionated views of the state-of-the-art and challenges in a specific topic), system (the architecture and implementation details of an innovative architecture for a complete system that supports model/animation design, acquisition, analysis, visualization?), application (description of a novel application of know techniques and evaluation of its impact), or lecture (an elegant and inspiring perspective on previously published results that clarifies them and teaches them in a new way). GMOD offers its authors an accelerated review, feedback from experts in the field, immediate online publication of accepted papers, no restriction on color and length (when justified by the content) in the online version, and a broad promotion of published papers. A prestigious group of editors selected from among the premier international researchers in their fields oversees the review process.