Extended Finite Element Method

Tsinghua University Press Computational Mechanics Series

Edited by

  • Zhuo Zhuang, Department of Engineering Mechanics, Tsinghua University, Beijing, China
  • Zhanli Liu, Tsinghua University, Beijing, China
  • Binbin Cheng, Tsinghua University, Beijing, China
  • Jianhui Liao, Tsinghua University, Beijing, China

Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems.

The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials.

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Graduate students, engineers and researchers in mechanical, aerospace and civil engineering.


Book information

  • Published: March 2014
  • ISBN: 978-0-12-407717-1

Table of Contents

    Chapter 1: Introduction

    Chapter 2: Fundamental linear elastic fracture mechanics

    Chapter 3: Dynamic crack propagation

    Chapter 4: Governing equation of XFEM

    Chapter 5: 2D examples and analyses

    Chapter 6: XFEM based on continuum-based shell

    Chapter 7: Sub-interface crack propagation in bi-materials

    Chapter 8: XFEM simulation for 3D composite materials

    Chapter 9: XFEM application for two phase flow

    Chapter 10: Research progress and related project on XFEM