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Titlebook: Computational Methods Based on Peridynamics and Nonlocal Operators; Theory and Applicati Timon Rabczuk,Huilong Ren,Xiaoying Zhuang Book 202

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发表于 2025-3-21 17:59:06 | 显示全部楼层 |阅读模式
书目名称Computational Methods Based on Peridynamics and Nonlocal Operators
副标题Theory and Applicati
编辑Timon Rabczuk,Huilong Ren,Xiaoying Zhuang
视频video
概述Provides an overview of the current state-of-the-art computational methods based on peridynamics and nonlocal operators.Is addressed to students as well as more advanced researchers in this field.Pres
丛书名称Computational Methods in Engineering & the Sciences
图书封面Titlebook: Computational Methods Based on Peridynamics and Nonlocal Operators; Theory and Applicati Timon Rabczuk,Huilong Ren,Xiaoying Zhuang Book 202
描述.This book provides an overview of computational methods based on peridynamics and nonlocal operators and their application to challenging numerical problems which are difficult to deal with traditional methods such as the finite element method, material failure being “only” one of them. The authors have also developed a higher-order nonlocal operator approaches capable of solving higher-order partial differential equations on arbitrary domains in higher-dimensional space with ease. This book is of interest to those in academia and industry. . .
出版日期Book 2023
关键词Peridynamics; Nonlocal Operator Method, Modeling and Simulation; Computational Mechanics; Phase Field M
版次1
doihttps://doi.org/10.1007/978-3-031-20906-2
isbn_softcover978-3-031-20908-6
isbn_ebook978-3-031-20906-2Series ISSN 2662-4869 Series E-ISSN 2662-4877
issn_series 2662-4869
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 21:57:57 | 显示全部楼层
https://doi.org/10.1007/978-3-642-33380-4 stiffness matrix and the nonlocal strong form. In the section on numerical examples, we applied the current method to problems formulated by strong form and weak form. These examples include the Poisson equation in 2–5D space, the Von Karman plate equations, and the phase field fracture model.
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Nonlocal Operator Method for Dynamic Brittle Fracture Based on an Explicit Phase Field Model,mentation. The method does not require any shape functions and the associated matrices and vectors are obtained automatically after defining the energy of the system. Hence, the approach can be easily extended to more complex coupled problems. Several numerical examples are presented to demonstrate the performance of the current method.
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Higher Order Nonlocal Operator Method, stiffness matrix and the nonlocal strong form. In the section on numerical examples, we applied the current method to problems formulated by strong form and weak form. These examples include the Poisson equation in 2–5D space, the Von Karman plate equations, and the phase field fracture model.
发表于 2025-3-23 08:59:34 | 显示全部楼层
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