New kinematical constraints of cracked MITC4 shell elements based on the phantom-node method for fracture analysis

Thanh Chau-Dinh, Chuong Mai-Van, Goangseup Zi, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this paper, the phantom-node method is developed for cracked plates and shells simulated by continuum mechanics based 4-node quadrilateral shell elements using the mixed interpolation of tensorial components (MITC) technique for the shear-locking removal. The proposed method permits an arbitrary crack to cut through elements. The discontinuity across the crack is described by continuous displacement fields of overlapping elements that are constructed by duplicating homologous nodes and realized on the real parts of the cracked elements. New kinematical constraints for the nodal displacements of the overlapping triple elements are derived to represent the displacement fields of the partially cracked elements. The interaction domain integral of cracked shell structures is formulated to extract the fracture parameters. Several numerical benchmark cracked plates and shells are analyzed to evaluate the accuracy and robustness of the proposed method.

Original languageEnglish
Pages (from-to)159-178
Number of pages20
JournalEngineering Fracture Mechanics
Publication statusPublished - 2018 Aug

Bibliographical note

Funding Information:
The author Thanh Chau-Dinh would like to thank the HCMC University of Technology and Education for their grants through the HCMUTE research project T2017-08TĐ. The author Goangseup Zi appreciates a support of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry & Energy (MOTIE) of the Republic of Korea (No. 20163030024520 ).

Publisher Copyright:
© 2018 Elsevier Ltd


  • Cracked plates and shells
  • Fracture parameters
  • Interaction domain integral
  • MITC4 shell element
  • Phantom-node method

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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