In this paper, the meshless method is extended to simulate the interaction between soil and structure through 2D finite element (FE) model. The background mesh line shared by each surface of interface is introduced for Gauss points’ generation and interpolation. Thus, instead of a series of interface elements, the whole soil–structure interface can be presented by an arbitrary number of nodes with flexible distribution on the contacting surfaces. The radial basis function (RBF) is introduced as the interpolation function to obtain the displacement of each Gauss points by surrounding the nodes along the surfaces. The research of shape parameters and the rate of convergence are also conducted. With non-matching nodes interface, the soil and structure zone can be modeled independently and connected with the proposed non-matching nodes interface flexibly and effectively. Furthermore, the proposed method can easily enable cross-scale modeling, which has high utility for enabling refined analysis without excessively increasing the computational costs. In addition, under the standard finite element framework, nonlinear constitutive models can be employed to capture the complex behaviors at the interface. Several simulations are presented to demonstrate the high flexibility, extensive applicability and precision of the proposed non-matching nodes interface based on meshless method.

中文翻译：

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一种具有径向插值函数的非匹配节点界面模型，用于模拟二维土壤-结构界面行为

在本文中，将无网格方法扩展到通过二维有限元（FE）模型模拟​​土壤与结构之间的相互作用。引入了界面各面共享的背景网格线，用于高斯点的生成和插值。因此，整个土壤-结构界面可以由任意数量的节点表示，而不是一系列界面元素，这些节点在接触面上具有灵活分布。引入径向基函数（RBF）作为插值函数，通过沿曲面围绕节点获得每个高斯点的位移。还进行了形状参数和收敛速度的研究。具有非匹配节点接口，土壤和结构区域可以独立建模，并与建议的非匹配节点接口灵活有效地连接。此外，所提出的方法可以很容易地实现跨尺度建模，这对于在不过度增加计算成本的情况下实现精细分析具有很高的实用性。此外，在标准有限元框架下，可以采用非线性本构模型来捕捉界面处的复杂行为。提出了几个仿真，以证明所提出的基于无网格方法的非匹配节点接口的高度灵活性、广泛适用性和精度。它具有很高的实用性，可以在不过度增加计算成本的情况下进行精细分析。此外，在标准有限元框架下，可以采用非线性本构模型来捕捉界面处的复杂行为。提出了几个仿真，以证明所提出的基于无网格方法的非匹配节点接口的高度灵活性、广泛适用性和精度。它具有很高的实用性，可以在不过度增加计算成本的情况下进行精细分析。此外，在标准有限元框架下，可以采用非线性本构模型来捕捉界面处的复杂行为。提出了几个仿真，以证明所提出的基于无网格方法的非匹配节点接口的高度灵活性、广泛适用性和精度。