A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics
A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics
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DOI：
10.1007/s42102-020-00038-7
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发表时间：
2021-11
期刊：
影响因子：
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通讯作者：
M. D'Elia;X. Li;Pablo Seleson;Xiaochuan Tian;Yue Yu
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作者：
M. D'Elia;X. Li;Pablo Seleson;Xiaochuan Tian;Yue Yu
局部到非局部耦合（LtN）是指一类旨在将给定系统的非局部和局部建模描述组合成统一耦合表示的方法。这可以将非局部模型的准确性与局部模型的计算便利性结合起来，同时通常可以消除表面效应等非局部建模问题。近年来，提出的LtN耦合方法的数量和种类显著增加，但LtN耦合领域继续增长，仍然存在挑战。本文综述了LtN耦合的非局部扩散和非局部力学的背景下，特别是周波的艺术状态的概述。我们提出了LtN耦合方法的分类，并讨论了共同的特点和挑战。本次审查的目标是不提供一个首选的方式来解决LtN耦合，但提出了一个广泛的视角，该领域，这将作为指导从业人员在选择适当的LtN耦合方法的基础上考虑的问题的特点和需求。
Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing nonlocal modeling issues such as surface effects. The number and variety of proposed LtN coupling approaches have significantly grown in recent years, yet the field of LtN coupling continues to grow and still has open challenges. This review provides an overview of the state of the art of LtN coupling in the context of nonlocal diffusion and nonlocal mechanics, specifically peridynamics. We present a classification of LtN coupling methods and discuss common features and challenges. The goal of this review is not to provide a preferred way to address LtN coupling but to present a broad perspective of the field, which would serve as guidance for practitioners in the selection of appropriate LtN coupling methods based on the characteristics and needs of the problem under consideration.