Virtual Element Methods in Engineering Sciences (工程科學中的虛擬元素方法)

Wriggers, Peter, Aldakheel, Fadi, Hudobivnik, Blaz

Virtual Element Methods in Engineering Sciences
  • 出版商: Springer
  • 出版日期: 2024-10-29
  • 售價: $6,460
  • 貴賓價: 9.5 折 $6,137
  • 語言: 英文
  • 頁數: 452
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031392574
  • ISBN-13: 9783031392573

    • 海外代購書籍(需單獨結帳)

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商品描述

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 structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.

作者簡介

Professor Dr.-Ing. habil. P. Wriggers studied Civil Engineering at the University Hannover; he obtained his Dr.-Ing degree at the University of Hannover in 1980 on "Contact-impact problems." Since April 2022, he is Emeritus Professor at Leibniz Universität Hannover. Peter Wriggers is Member of the "Braunschweigische Wissenschaftliche Gesellschaft," the Academy of Science and Literature in Mainz, the German National Academy of Engineering "acatech" and the National Academy of Croatia. He was President of GAMM, President of GACM and Vice-President of IACM. Furthermore, he acts as Editor-in-Chief for the International Journal "Computational Mechanics" and "Computational Particle Mechanics." He was awarded the Fellowship of IACM and received the "Computational Mechanics Award" and the "IACM Award" of IACM, the "Euler Medal" of ECCOMAS as well as three honorary degrees from the Universities of Poznan, ENS Cachan and TU Darmstadt.

Professor Dr.-Ing. habil. F. Aldakheel is since April 2023 professor for high performance computing at Leibniz Universität Hannover. After studying engineering in Aleppo, he initially worked at Alfurat University in Syria before moving to the Institute of Applied Mechanics at the University of Stuttgart for the master and Ph.D. studies and then the postdoc period. There he was course director for the international master's programme "Computational Mechanics of Materials and Structures" (COMMAS) as well as local director for the excellence programme "Erasmus Mundus Master of Science in Computational Mechanics". Most recently, he was Chief-Engineer/Group-Leader at the Institute for Continuum Mechanics at Leibniz Universität Hannover and Associate Professor (Honorary) at the Zienkiewicz Centre for Computational Engineering at Swansea University, UK. He has been awarded numerous awards, among them the Richard-von-Mises Prize of GAMM (Association of Applied Mathematics and Mechanics). His research interests are related tothe modeling of material behaviors, variational principles, computational solid mechanics, structural mechanics, finite and virtual element methods, multiphysics and multi-scales problems, machine learning, energy transition and experimental validation.

Dr. Blaz Hudobivnik studied Civil Engineering at the University of Ljubljana. He was awarded his Doctoral degree in 2016 under the supervision of Prof. Joze Korelc. He worked as Young researcher/Researcher between 2011 and October 2016 at the University of Ljubljana and after that he was employed as Postdoctoral researcher until April 2023 at the Institute of Continuum Mechanics at the Leibniz Universität Hannover. Since April 2023 he is employed in industry as simulation expert in mechanical design of batteries. His primary research fields are efficient implementation of nonlinear coupled problems, the development of the virtual element method and its application to a wide range of engineering problems. This includes 2D and 3D applications for linear and nonlinear materials, for static and dynamic solids, plate and contact problems, coupled problems (thermo-hydro-mechanics), phase field methods, multi-scale and optimization problems. Alongside research, he advises other institute members in numerical implementations due to his expert knowledge of the Software-Tool AceGen/AceFEM, developed by his doctoral advisor Prof. Korelc.


作者簡介(中文翻譯)

教授 Dr.-Ing. habil. P. Wriggers 在漢諾威大學學習土木工程；他於1980年在漢諾威大學獲得博士學位，研究主題為「接觸衝擊問題」。自2022年4月起，他成為漢諾威萊布尼茲大學的名譽教授。彼得·維格斯是「布倫瑞克科學學會」的成員，還是美因的科學與文學學院、德國國家工程學院「acatech」及克羅地亞國家學院的成員。他曾擔任GAMM的會長、GACM的會長及IACM的副會長。此外，他還擔任國際期刊《計算力學》和《計算粒子力學》的主編。他獲得了IACM的研究員榮譽，並獲得了IACM的「計算力學獎」和「IACM獎」，以及ECCOMAS的「歐拉獎」和波茲南大學、ENS Cachan及達姆施塔特工業大學的三個榮譽學位。

教授 Dr.-Ing. habil. F. Aldakheel 自2023年4月起在漢諾威萊布尼茲大學擔任高效能計算教授。他在阿勒頗學習工程學後，最初在敘利亞的阿爾富拉特大學工作，隨後轉到斯圖加特大學的應用力學研究所進行碩士和博士研究，並完成博士後研究。在那裡，他擔任國際碩士課程「材料與結構的計算力學」（COMMAS）的課程主任，以及卓越計畫「Erasmus Mundus計算力學碩士」的地方主任。最近，他在漢諾威萊布尼茲大學的連續介質力學研究所擔任首席工程師/小組負責人，並在英國斯旺西大學的Zienkiewicz計算工程中心擔任副教授（榮譽）。他獲得了多項獎項，其中包括GAMM（應用數學與力學協會）的理查德·馮·米塞斯獎。他的研究興趣與材料行為建模、變分原理、計算固體力學、結構力學、有限元和虛擬元素方法、多物理場和多尺度問題、機器學習、能源轉型及實驗驗證有關。

Dr. Blaz Hudobivnik 在盧布爾雅那大學學習土木工程。他於2016年在Joze Korelc教授的指導下獲得博士學位。2011年至2016年10月期間，他在盧布爾雅那大學擔任青年研究員/研究員，之後在漢諾威萊布尼茲大學的連續介質力學研究所擔任博士後研究員，直到2023年4月。自2023年4月起，他在業界擔任電池機械設計的模擬專家。他的主要研究領域包括非線性耦合問題的高效實現、虛擬元素方法的開發及其在各種工程問題中的應用。這包括線性和非線性材料的2D和3D應用、靜態和動態固體、板和接觸問題、耦合問題（熱-水-力學）、相場方法、多尺度和優化問題。除了研究外，他還根據自己對其博士導師Korelc教授所開發的軟體工具AceGen/AceFEM的專業知識，為其他研究所成員提供數值實現的建議。

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