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 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. Explains all the important theory behind XFEM and meshfree methodsProvides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codesDraws on the latest research to explore new topics such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methodsIntroduces some alternative modeling methods to help readers decide which one is most appropriate to their work INDICE: 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

• ISBN: 978-0-12-814106-9
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 400
• Fecha Publicación: 01/08/2018
• Nº Volúmenes: 1
• Idioma: Inglés