Skip navigation


  • DSpace logo
  • Home
  • Collections
  • Researcher Profile
  • Explore by
    • Researcher Profile
  • VGU library
  • Help
  • User Guide
  • Sign on to:
    • My DSpace
    • Receive email
      updates
    • Edit Account details

VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/77
Title: An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems
Authors: Tran Duc Han 
B. H. Nguyen 
C. Anitescu 
X. Zhuang 
T. Rabczuk 
Keywords: Isogeometric analysis;NURBS;SGBEM;Crack;Weakly singular
Issue Date: 2016
Publisher: Elsevier
Series/Report no.: Computer Methods in Applied Mechanics and Engineering;306
Abstract: 
The isogeometric analysis is applied for the weakly singular symmetric Galerkin boundary element method (SGBEM) to analyze quasi-static elastic problems including crack problems in two-dimensional domains. This method takes the advantages from the common boundary representation of the isogeometric analysis and the boundary element method. The background of the developed method is to use non-uniform rational B-splines (NURBS) for the Galerkin approximation of both geometry and field variables (i.e. the displacement and traction on the boundary). The basic ingredient of the method is a pair of weakly-singular weak-form integral equations for the displacement and traction on the boundary. These integral equations contain at most weakly-singular kernels of , where is the distance from a source point to a field point. Various numerical examples are examined to validate the accuracy and efficiency of the proposed method. A model of crack propagation is also discussed to illustrate the use of the method for crack growth simulation. Through the numerical examples, it is observed that the isogeometric SGBEM produces highly accurate results yet it is simple to implement.
Index & Ranking: ISI(SCI) Q1
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/77
DOI: 10.1016/j.cma.2016.04.002
Appears in Collections:ARTICLE/BOOK PUBLICATION

Show full item record

Page view(s)

64
checked on Oct 30, 2025

Google ScholarTM

Check

Altmetric

Altmetric


Items are protected by © Copyright of Vietnamese - German University Library

© Copyright 2020 by Vietnamese - German University Library.
Add: Ring road 4, Quarter 4, Thoi Hoa Ward, Ben Cat City, Binh Duong Province
Tel.:(0274) 222 0990. Ext.: 70206