Phantom-node method for shell models with arbitrary cracks

Thanh Chau-Dinh, Goangseup Zi, Phill Seung Lee, Timon Rabczuk, Jeong Hoon Song

Research output: Contribution to journalArticlepeer-review

239 Citations (Scopus)


A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.

Original languageEnglish
Pages (from-to)242-256
Number of pages15
JournalComputers and Structures
Publication statusPublished - 2012 Feb

Bibliographical note

Funding Information:
Authors Thanh Chau-Dinh and Goangseup Zi would like to thank the Agency for Defense Development (ADD) for their Grants UD090012JD and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0003166 ). Author Timon Rabczuk is grateful for the support provided by the German Research Foundation (DFG).


  • Cracked shells
  • J-integral
  • MITC3 shell element
  • Phantom-node method
  • Stress intensity factors

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • General Materials Science
  • Mechanical Engineering
  • Computer Science Applications


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