Extended Finite Element Method

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.

Autorentext
Zhuo Zhuang is Professor and Co-director of the Advanced Mechanics and Materials Center in the School of Aerospace Engineering, at Tsinghua University in China. He has published over 260 papers in leading scientific journals. He is General Council member for IACM, and APACM, and President of the Chinese Association of Computation Mechanics (CACM), Vice-director of the Supervision Committee on Mechanics at the Ministry of Education, and serves as an editor on both national and international journals. He received his PhD from University College Dublin in Ireland, and an Honorary Doctorate Degree (EngD) from Swansea University in the UK. Zhanli Liu is Associate Professor in the School of Aerospace Engineering at Tsinghua University in China. He has published over 60 papers, mostly relating to computational multi-scale mechanics, plasticity, damage and fracture mechanics. He received his PhD from Tsinghua University, and was a winner of the prestigious China Thousand Young Talents Program.Department of Engineering Mechanics, Tsinghua University, Beijing, ChinaDepartment of Engineering Mechanics, Tsinghua University, Beijing, China

Klappentext
Provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. This book is intended to help readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems.

Inhalt

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