A finite element-peridynamic combined multiscale analysis strategy based on implicit integration scheme
A finite element-peridynamic combined multiscale analysis strategy based on implicit integration scheme
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DOI：
10.1016/j.istruc.2022.09.055
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发表时间：
2022-11
期刊：
影响因子：
4.1
通讯作者：
Ning Zhang;Yue Zheng;Honglei Wu;Xi You;Jiawei Chen
中科院分区：
文献类型：
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作者：
Ning Zhang;Yue Zheng;Honglei Wu;Xi You;Jiawei Chen
尽管近场动力学（PD）方法可以解决土木工程中存在的不连续性问题，但由于网格间距小和显式积分方案等固有缺点，其计算成本比传统有限元（FE）方法高得多。为此，提出了一种以隐式积分方案重新表述的多尺度分析方法，称为FE-PD方法，该方法将PD方法与FE方法相结合，以发挥PD方法的不连续性求解能力和FE方法的高计算效率的优点。本研究首先介绍基于债券的PD理论。随后，提出了 FE-PD 方法的框架以及两个新开发的界面元素。最后，说明了如何将 FE-PD 方法应用到开源有限元软件 OpenSees 中，并通过涉及承受垂直载荷的 nl 形混凝土板以及分别承受单轴拉伸和剪切载荷的 2D 和 3D 悬臂梁的基准问题来验证所提出的 FE-PD 方法。此外，采用FE-PD方法来模拟嵌入实心混凝土试件中的钢筋的粘结滑移行为。研究结果证实，与 PD 方法相比，FE-PD 方法不仅消耗相对较少（例如约 70%）的计算资源，而且可以很好地捕获混凝土的裂纹扩展和嵌入准脆性混凝土试件中的钢筋的粘结滑移行为。
Although peridynamics (PD) method can address discontinuity issues existing in civil engineering, it is much more computationally expensive than the conventional finite element (FE) method because of inherent shortcomings such as small grid spacing and explicit integration scheme. In this regard, a multiscale analysis method reformulated in an implicit integration scheme, named FE-PD method, is proposed, which integrates the PD method with the FE method to take the advantages of discontinuity solving capacity of the PD method and high computing efficiency of the FE method. This study commences with the introduction of the bond-based PD theory. Subsequently, the framework of the FE-PD method together with two newly developed interface elements is presented. Finally, how to implement the FE-PD method into an open-source FE software, OpenSees, is illustrated, and the proposed FE-PD method is verified by a benchmark problem involving anl-shaped concrete plate sustaining a vertical loading, as well as a 2D and a 3D cantilever beam sustaining uniaxial tensile and shear loadings, respectively. Besides, the FE-PD method is employed to simulate the bond-slip behavior of the rebar embedded in a solid concrete specimen. The investigation results confirm that the FE-PD method not only consumes relatively much less (e.g., about 70%) computing resources compared with the PD method but also well captures the crack propagation of concrete and the bond-slip behavior of the rebar embedded in a quasi-brittle concrete specimen.