Extended finite element and meshfree methods Timon Rabczuk 0128141077 9780128141076

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Product details:

• ISBN 10: 0128141077
• ISBN 13: 9780128141076
• Author: Timon Rabczuk

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.

Table of contents:

Chapter One: Introduction

Chapter Two: Weak forms and governing equations

Chapter Three: Extended finite element method

Chapter Four: Phantom node method

Chapter Five: Extended meshfree methods

Chapter Six: Extended isogeometric analysis

Chapter Seven: Fracture in plates and shells

Chapter Eight: Fracture criteria and crack tracking procedures

Chapter Nine: Multiscale methods for fracture

Chapter Ten: A short overview of alternatives for fracture

Chapter Eleven: Implementation details

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