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Titlebook: Virtual Element Methods in Engineering Sciences; Peter Wriggers,Fadi Aldakheel,Blaž Hudobivnik Book 2024 The Editor(s) (if applicable) and

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发表于 2025-3-21 16:40:29 | 显示全部楼层 |阅读模式
书目名称Virtual Element Methods in Engineering Sciences
编辑Peter Wriggers,Fadi Aldakheel,Blaž Hudobivnik
视频videohttp://file.papertrans.cn/984/983309/983309.mp4
概述Presents the history and recent developments of virtual elements.Includes several examples for deeper understanding of the formulations and associated algorithms.Describes new mathematical method for
图书封面Titlebook: Virtual Element Methods in Engineering Sciences;  Peter Wriggers,Fadi Aldakheel,Blaž Hudobivnik Book 2024 The Editor(s) (if applicable) and
描述.This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM‘s Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation ofcoupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering struct
出版日期Book 2024
关键词Virtual element + engineering; Virtual elements + solids; Continuum mechanics; VEM; Construction
版次1
doihttps://doi.org/10.1007/978-3-031-39255-9
isbn_softcover978-3-031-39257-3
isbn_ebook978-3-031-39255-9
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 20:41:13 | 显示全部楼层
发表于 2025-3-22 03:24:42 | 显示全部楼层
,VEM Ansatz Functions and Projection for the Poisson Equation, of this method, see Beirão da Veiga et al. (.) and Beirão da Veiga et al. (.). Since Laplace, Poisson and the elasticity equations are of elliptical nature, the ansatz functions defined in the previous chapter can be employed for these scalar valued problems as well.
发表于 2025-3-22 06:55:34 | 显示全部楼层
发表于 2025-3-22 11:19:28 | 显示全部楼层
,Virtual Elements for Elasticity Problems,ld be applied to problems involving two-dimensional linear elastic solids under general loading conditions, see Beirão da Veiga et al. (.). After these first developments and formulations of the new method many follow up contributions appeared. An extension to three-dimensional problems was then pro
发表于 2025-3-22 13:16:05 | 显示全部楼层
,Virtual Element Formulation for Finite Plasticity,lude path dependency and thus history variables. The treatment of such constitutive models needs a special approach with respect to algorithms and the formulation of the virtual element method. The details will be discussed in the following for the case of three-dimensional von Mises plasticity at f
发表于 2025-3-22 20:13:14 | 显示全部楼层
Virtual Elements for Thermo-mechanical Problems,wo distinct categories. The first category relates to problems in which the physical domains overlap and coupling occurs via the differential equations of the different physical phenomena. In the second category problems are investigated in which coupling occurs only at the domain interfaces, like i
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发表于 2025-3-23 01:35:14 | 显示全部楼层
Virtual Element Formulation for Contact, contact interface has an influence on the performance of machines, looking for example at friction and wear, or on production processes like metal forming. Therefore it is necessary to capture these effects in predictive numerical simulations during the design.
发表于 2025-3-23 08:33:02 | 显示全部楼层
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