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 journalArticle

201 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)242-246
Number of pages5
JournalComputers and Structures
Publication statusPublished - 2012 Feb 1


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

ASJC Scopus subject areas

  • Computer Science Applications
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Modelling and Simulation
  • Materials Science(all)

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