A meshfree thin shell method for non-linear dynamic fracture

Timon Rabczuk, P. M A Areias, T. Belytschko

Research output: Contribution to journalArticle

332 Citations (Scopus)

Abstract

A meshfree method for thin shells with finite strains and arbitrary evolving cracks is described. The C1 displacement continuity requirement is met by the approximation, so no special treatments for fulfilling the Kirchhoff condition are necessary. Membrane locking is eliminated by the use of a cubic or quartic polynomial basis. The shell is tested for several elastic and elasto-plastic examples and shows good results. The shell is subsequently extended to modelling cracks. Since no discretization of the director field is needed, the incorporation of discontinuities is easy to implement and straightforward.

Original languageEnglish
Pages (from-to)524-548
Number of pages25
JournalInternational Journal for Numerical Methods in Engineering
Volume72
Issue number5
DOIs
Publication statusPublished - 2007 Oct 29
Externally publishedYes

Fingerprint

Dynamic Fracture
Meshfree
Thin Shells
Nonlinear Dynamics
Shell
Crack
Cracks
Meshfree Method
Finite Strain
Polynomial Basis
Locking
Elasto-plastic
Quartic
Discontinuity
Membrane
Discretization
Polynomials
Plastics
Membranes
Necessary

Keywords

  • Cohesive models
  • Cracks
  • KL constraint
  • Meshfree methods
  • Shell

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

Cite this

A meshfree thin shell method for non-linear dynamic fracture. / Rabczuk, Timon; Areias, P. M A; Belytschko, T.

In: International Journal for Numerical Methods in Engineering, Vol. 72, No. 5, 29.10.2007, p. 524-548.

Research output: Contribution to journalArticle

Rabczuk, Timon ; Areias, P. M A ; Belytschko, T. / A meshfree thin shell method for non-linear dynamic fracture. In: International Journal for Numerical Methods in Engineering. 2007 ; Vol. 72, No. 5. pp. 524-548.
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