细胞结构的应力驱动非局部均质化方法

IF 5 1区 工程技术 Q1 ENGINEERING, AEROSPACE
Shuo Li , Enyong Xu , Xin Zhan , Weiguang Zheng , Li Li
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引用次数: 0

摘要

在细胞结构中可以观察到强烈的尺寸依赖性力学行为,这违反了尺度分离原则,而经典的均质化方法无法捕捉到这种力学行为。本文提出了一种应力驱动的非局部均质化方法,以捕捉细胞结构的非局部力导致的尺寸依赖性力学行为。首先提出一种非局部离散元素模型来描述细胞结构的非局部变形机制。然后,通过从非局部离散元素模型推导出连续极限,校准连续应力驱动的非局部均质化方法。连续均匀化方法通过引入固有长度,解除了尺度分离的假设,可通过高通量数值计算进行校准。此外,为了有效预测与尺寸相关的力学行为,还针对不同的单元格构建了一个本征长度离线数据集。在离线数据集的帮助下,所提出的均质化方法提高了经典均质化方法的精度,并降低了高保真有限元方法的计算成本。最后,以一根受拉伸的单元杆为例,说明了所提均质化方法的效率和准确性。结果表明,与经典均质化方法相比,所提出的均质化方法的相对误差小于 1%,与高保真方法具有良好的一致性。此外,拟议均质化方法的计算效率是高保真有限元方法的五倍以上。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stress-driven nonlocal homogenization method for cellular structures
Strong size-dependent mechanical behaviors can be observed in cellular structures violating the principle of scale separation and cannot be captured by classical homogenization methods. This paper proposes a stress-driven nonlocal homogenization method to capture the size-dependent mechanical behavior due to the nonlocal force of cellular structures. A nonlocal discrete element model is proposed first to describe the nonlocal deformation mechanism of cellular structures. Then, a continuum stress-driven nonlocal homogenization method is calibrated by deriving the continuum limit from the nonlocal discrete element model. The continuum homogenization method releases the assumption of scale separation by introducing an intrinsic length, which can be calibrated by high throughput numerical computation. Also, for efficient prediction of size-dependent mechanical behaviors, an offline dataset of the intrinsic length is constructed for different unit cells. With the help of the offline dataset, the proposed homogenization method improves the accuracy of the classic homogenization method and reduces the computational cost of the high-fidelity finite element method. Finally, a cellular rod under tension is used as an application to illustrate the efficiency and accuracy of the proposed homogenization method. Results indicate that compared with the classic homogenization method, the relative error of the proposed homogenization method is less than 1% which has a good consistency with the high-fidelity method. Moreover, the computational efficiency of the proposed homogenization method is more than five times that of the high-fidelity finite element method.
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来源期刊
Aerospace Science and Technology
Aerospace Science and Technology 工程技术-工程:宇航
CiteScore
10.30
自引率
28.60%
发文量
654
审稿时长
54 days
期刊介绍: Aerospace Science and Technology publishes articles of outstanding scientific quality. Each article is reviewed by two referees. The journal welcomes papers from a wide range of countries. This journal publishes original papers, review articles and short communications related to all fields of aerospace research, fundamental and applied, potential applications of which are clearly related to: • The design and the manufacture of aircraft, helicopters, missiles, launchers and satellites • The control of their environment • The study of various systems they are involved in, as supports or as targets. Authors are invited to submit papers on new advances in the following topics to aerospace applications: • Fluid dynamics • Energetics and propulsion • Materials and structures • Flight mechanics • Navigation, guidance and control • Acoustics • Optics • Electromagnetism and radar • Signal and image processing • Information processing • Data fusion • Decision aid • Human behaviour • Robotics and intelligent systems • Complex system engineering. Etc.
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