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Extended Finite Element and Meshfree Methods
Introduces the essential theory, explores the latest research, and explains the implementation of XFEM and meshfree modeling methods
Timon Rabczuk (Author), Jeong-Hoon Song (Author), Xiaoying Zhuang (Author), Cosmin Anitescu (Author)
9780128141069
Paperback, published 13 November 2019
638 pages
22.9 x 15.1 x 3.9 cm, 0.93 kg
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.
1. Introduction2. Weak forms and governing equations3. Extended Finite Element Method4. Phantom Node Method5. Extended Meshfree Methods6. Extended Isogeometric Analysis7. Fracture in plates and shells8. Fracture criteria and crack tracking procedures 9. Multiscale methods for fracture10. A short overview of alternatives11. Implementation details
Subject Areas: Computer science [UY], Mechanical engineering [TGB]
