A parallel acceleration GPU algorithm for large deformation of thin shell structures based on peridynamics

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-03-27 DOI:10.1007/s00366-024-01951-x
Zheng Guojun, Li Runjin, Shen Guozhe, Zhang Xiangkui
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Abstract

Loaded shell structures may deform, rotate, and crack, leading to fracture. The traditional finite element method describes material internal forces through differential equations, posing challenges in handling discontinuities and complicating fracture problem resolution. Peridynamics (PD), employing integral equations, presents advantages for fracture analysis. However, as a non-local theory, PD requires discretizing materials into nodes and establishing interactions through bonds, leading to reduce computational efficiency. This study introduces a GPU-based parallel PD algorithm for large deformation problems in shell structures within the compute unified device architecture (CUDA) framework. The algorithm incorporates element mapping and bond mapping for high parallelism. The algorithm optimizes data structures and GPU memory usage for efficient parallel computing. The parallel computing capabilities of GPU expedite crack analysis simulations, greatly reducing the time required to address large deformation problems. Experimental tests confirm the algorithm’s accuracy, efficiency, and value for engineering applications, demonstrating its potential to advance fracture analysis in shell structures.

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基于周动力学的薄壳结构大变形并行加速 GPU 算法
受载壳体结构可能会变形、旋转和开裂,从而导致断裂。传统的有限元方法通过微分方程描述材料内力,在处理不连续性方面存在挑战,并使断裂问题的解决复杂化。采用积分方程的周动力学(PD)为断裂分析带来了优势。然而,作为一种非局部理论,PD 需要将材料离散化为节点,并通过键建立相互作用,从而降低了计算效率。本研究在计算统一设备架构(CUDA)框架内针对壳体结构中的大变形问题引入了基于 GPU 的并行 PD 算法。该算法结合了元素映射和键映射以实现高并行性。该算法优化了数据结构和 GPU 内存使用,以实现高效的并行计算。GPU 的并行计算能力加快了裂纹分析模拟的速度,大大缩短了解决大型变形问题所需的时间。实验测试证实了该算法的准确性、效率和工程应用价值,证明了它在推进壳体结构断裂分析方面的潜力。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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