显式时间积分薄壳有限元并行几何接触算法

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers & Structures Pub Date : 2024-10-30 DOI:10.1016/j.compstruc.2024.107567
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引用次数: 0

摘要

虽然接触力学的数值物理模型已变得越来越普遍,但仍缺乏实施这些模型来有效解决几何接触问题的强大接触搜索策略。我们的研究致力于解决这一问题,为薄壳有限元引入了一种具有显式时间方案的精确几何接触力学算法的综合解决方案。该方法有几个主要特点,包括通过子时间步进方法实现自接触相互作用的精确几何分辨率、自适应数据结构以最大限度地减少计算开销,以及具有负载平衡能力的专用并行化实现。通过将问题分解为两个阶段:全局和局部相位接触检测,实现了一种高效的检测算法,从而降低了问题的自然多项式时间复杂性。然后应用冲击方程,通过强制执行运动能量和动量守恒来解决接触事件。该接触算法与基于 MPI 的薄壳有限元求解器并行化完全集成,以确保负载平衡。三项数值研究证明了该算法的稳健性和正确性。此外,一项强大的扩展研究展示了与该算法相关的并行化的可扩展性。
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A parallel geometric contact algorithm for thin shell finite elements in explicit time integration
While numerical physical models of contact mechanics have become increasingly prevalent, the implementation of these models to efficiently resolve geometric contact with a robust contact search strategy remains lacking. Our research endeavors to address this gap by introducing a comprehensive solution with an exact geometric contact mechanics algorithm for thin shell finite elements with an explicit time scheme. The method has several key features, including precise geometrical resolution of self-contact interactions enabled by a sub-time-step marching method, adaptive data structures to minimize computational overhead, and a dedicated parallelization implementation with load-balancing capability. An efficient detection algorithm is implemented to reduce the natural polynomial time complexity of the problem by decomposing it into two phases: global and local phase contact detection. The impact equations are then applied to resolve the contact event by enforcing the conservation of kinematic energy and momentum. This contact algorithm is fully integrated with the MPI-based parallelization of the thin-shell finite element solver to ensure even load-balancing. The robustness and correctness of the algorithm is demonstrated in three numerical studies. Additionally, a strong scaling study showcases the scalability of the parallelization associated with the algorithm.
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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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