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Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model

机译：具有对应材料模型的非常规绕动力学的非局部匹配边界条件

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摘要

A class of Nonlocal Matching Boundary Condition (NMBC) is presented for multiscale analysis that employs non-ordinary peridynamics (NOPD) with correspondence material model. The NMBC is cast in the form of parameterized expressions involving displacements and their higher-order time derivatives of the peridynamic (PD) nodes at the numerical interface. The corresponding parameters are solved by zeroing the associated residual and its higher order derivatives that are functions of the dispersion relation at the particular wave length of interest. After deriving the dispersion relations for both the standard and stabilized versions of NOPD with the correspondence material model, NMBCs are established for both 1D and 2D and the robustness is demonstrated in numerical examples. It is shown that stabilized NOPD effectively reduces the effects of the zero energy modes in the standard NOPD. Furthermore, nonlocal implementation is essential in eliminating the edge effects at the interface. (C) 2018 Elsevier B.V. All rights reserved.
机译：提出了一类非局部匹配边界条件（NMBC），用于多尺度分析，该模型采用非常规周边动力学（NOPD）和对应的材料模型。 NMBC以参数化表达式的形式进行转换，该参数化表达式涉及数值界面处的动力学（PD）节点的位移及其高阶时间导数。通过将相关的残差及其高阶导数归零来解决相应的参数，这些残差是其在特定波长处的色散关系的函数。用对应的材料模型推导标准和稳定版本的NOPD的色散关系后，针对一维和二维建立了NMBC，并在数值示例中证明了其鲁棒性。结果表明，稳定的NOPD可有效降低标准NOPD中零能量模式的影响。此外，非本地实现对于消除接口的边缘效应至关重要。 （C）2018 Elsevier B.V.保留所有权利。

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