โ Scribed by Timon Rabczuk Jeong-Hoon Song Xiaoying Zhuang Cosmin Anitescu
No coin nor oath required. For personal study only.
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.
Introduction
2. Weak forms and governing equations
3. Extended Finite Element Method
4. Phantom Node Method
5. Extended Meshfree Methods
6. Extended Isogeometric Analysis
7. Fracture in plates and shells
8. Fracture criteria and crack tracking procedures
9. Multiscale methods for fracture
10. A short overview of alternatives
11. Implementation details
๐ SIMILAR VOLUMES
<p><b>Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics</b></p> <ul> <li>Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation.</li
<p><b>Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics</b></p> <ul> <li>Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation.</li
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking Work Reflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely use
Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the