Academic Press Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Review Introduces the essential theory, explores the latest research, and explains the implementation of XFEM and meshfree modeling methods From the Back Cover Extended Finite Element and Meshfree Methods by Timon Rabczuk, Jeong-Hoon Song, Xiaoying Zhuang, and Cosmin Anitescu Introduces the essential theory, explores the latest research, and explains the implementation of XFEM and meshfree modeling methods. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces some alternative modeling methods to help readers decide which one is most appropriate to their work Extended Finite Element and Meshfree Methods provides an overview of and investigates recent developments in extended finite elements with a focus on application to material failure in statics and dynamics. This class of methods is ideally suited for applications such as crack propagation, two-phase flow, fluid-structure-interaction, optimization, and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method, and extended isogeometric analysis. This book also addresses their implementation and provides small Matlab codes on each sub-topic. Also discussed are challenges and efficient algorithms for tracking the crack path, which plays an important role for complex engineering applications. About the Authors Timon Rabczuk is Professor of Modeling and Simulation, and Chair of Computational Mechanics at the Bauhaus Universität Weimar, Germany. He has published more than 450 SCI papers, many of them on extended finite element and meshfree methods, multiscale methods and isogeometric analysis. He is editor-in-chief of CMC-Computers, Materials and Continua, associated editor of International Journal of Impact Engineering, assistant editor of Computational Mechanics, and executive editor of FSCE-Frontiers of Structural and Civil Engineering. He was listed as one of ISI Highly Cited Researchers in Computer Science and Engineering from 2014 up to now. Jeong-Hoon Song is Assistant Professor of Civil, Environmental, and Architectural Engineering and faculty member of Materials Science and Engineering Program at the University of Colorado, Boulder, USA. He received a Ph.D. in Theoretical and Applied Mechanics at Northwestern University in 2008 and has worked in the area of computational mechanics and physics of solids to develop new computational methods and algorithms for various multiscale/multiphysics phenomena. He has authored over 45 peer-reviewed journal publications and two book chapters and has presented over 70 research lectures at national and international conferen