Coupling of Peridynamics and Numerical Substructure Method for Modeling Structures with Local Discontinuities
Coupling of Peridynamics and Numerical Substructure Method for Modeling Structures with Local Discontinuities
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近场动力学与数值子结构方法的耦合用于局部不连续结构建模
DOI：
10.32604/cmes.2019.05085
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Ou Jinping
中科院分区：
文献类型：
--
作者：
Sun Baoyin;Li Shaofan;Gu Quan;Ou Jinping
：近场动力学（PD）是一种广泛使用的模拟不连续性的理论，但由于效率相对较低，其在实际结构问题中的应用受到一定限制。作者和同事提出的数值子结构方法（NSM）为局部非线性结构建模提供了一种有效的方法，而这种方法通常在连续介质力学问题中受到限制。本文提出了一种将PD理论与NSM相结合的方法，利用PD强大的不连续性模拟能力和NSM的高计算效率，对具有局部不连续性的结构进行建模。使用线性弹性有限元 (FE) 模型对结构进行模拟，同时使用 PD 子结构模型隔离和模拟局部裂纹区域。将根据 PD 模型计算出的力校正器应用于 FE 模型，以考虑不连续性的影响。使用带有嵌入式 PD 节点的接口元素将 PD 集成到子结构模型中。 NSM 系统和 PD 子结构的运动方程均采用中心差分法求解。研究了集中力作用下二维（2D）混凝土悬臂梁的三个例子，以验证所提出的耦合方法。本文提出了一种将近场动力学（PD）理论与数值子结构方法（NSM）相结合来模拟具有局部不连续性的结构的方法。简要回顾了基于键的近场动力学理论和NSM。然后提出了PD和NSM的耦合，其中使用线弹性有限元（FE）模型来模拟结构，同时使用PD子结构模型来隔离和模拟局部裂纹区域。力校正器根据 PD 模型计算出来并应用于 FE 模型以考虑不连续性的影响。使用带有嵌入式 PD 节点的界面元素将 PD 模型集成到子结构模型中。 NSM系统和PD子结构的运动方程均采用中心差分法求解。最后，研究了自由端集中力作用下二维（2D）混凝土悬臂梁的三个例子。利用传统的PD-FEM耦合方法验证了分析结果。据观察，PD-NSM 方法在裂纹扩展行为、极限弹性载荷和极限塑性载荷方面与 PD-FEM 表现出良好的一致性。所提出的 PD 和 NSM 耦合方法被证明是一种对具有局部不连续性的结构进行建模的有效方法。
: Peridynamics (PD) is a widely used theory to simulate discontinuities, but its application in real-world structural problems is somewhat limited due to the relatively low-efficiency. The numerical substructure method (NSM) presented by the authors and co-workers provides an efficient approach for modeling structures with local nonlinearities, which is usually restricted in problems of continuum mechanics. In this paper, an approach is presented to couple the PD theory with the NSM for modeling structures with local discontinuities, taking advantage of the powerful capability of the PD for discontinuities simulation and high computational efficiency of the NSM. The structure is simulated using liner elastic finite element (FE) model while the local cracking regions are isolated and simulated using a PD substructure model. A force corrector calculated from the PD model is applied on the FE model to consider the effect of discontinuities. The PD is integrated in the substructure model using interface elements with embedded PD nodes. The equations of motions of both the NSM system and the PD substructure are solved using the central difference method. Three examples of two-dimensional (2D) concrete cantilever beams under the concentrated force are investigated to verify the proposed coupling approach. This paper presents an approach to couple the peridynamic (PD) theory with numerical substructure method (NSM) to simulate the structures with local discontinuities. The bond-based peridynamic theory and the NSM are briefly reviewed. Then the coupling of PD and NSM is presented, in which the structure is simulated using liner elastic finite element (FE) model while the local cracking regions are isolated and simulated using PD substructure models. A force corrector is calculated from the PD model and applied on the FE model to account for the contribution of the discontinuities. The PD model is integrated in the substructure model using interface elements with embedded PD nodes. The equations of motions of both NSM system and PD substructure are solved using the central difference method. Finally, three examples of two-dimensional (2D) concrete cantilever beams under the concentrated force at the free end are investigated. The analysis results are verified by using traditional PD-FEM coupling approach. It is observed that the PD-NSM approach shows good agreement with the PD-FEM in the sense of the crack growth behaviors, the ultimate elastic load and the ultimate plastic load. The presented method of coupling PD and NSM are demonstrated to be an effective method for modeling structures with local discontinuities.
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DOI：
10.1007/978-1-4614-8465-3_11
发表时间：
2014
期刊：
--
影响因子：
--
作者：
E. Madenci;E. Oterkus
通讯作者：
E. Madenci;E. Oterkus
DOI：
10.1103/physrevb.51.11275
发表时间：
1995-05
期刊：
Physical review. B, Condensed matter
影响因子：
--
作者：
B. Holian;R. Ravelo
通讯作者：
B. Holian;R. Ravelo
DOI：
--
发表时间：
2008-03
期刊：
--
影响因子：
--
作者：
S. Mohammadi
通讯作者：
S. Mohammadi
DOI：
10.1002/nme.2725
发表时间：
2010-03-05
影响因子：
2.9
作者：
Foster, J. T.;Silling, S. A.;Chen, W. W.
通讯作者：
Chen, W. W.
影响因子：
6.7
作者：
S. Silling;W. Gerstle;N. Sau
通讯作者：
S. Silling;W. Gerstle;N. Sau