Phase-field modeling of fracture in linear thin shells

F. Amiri, D. Millán, Y. Shen, Timon Rabczuk, M. Arroyo

Research output: Contribution to journalArticle

189 Citations (Scopus)

Abstract

We present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.

Original languageEnglish
Pages (from-to)102-109
Number of pages8
JournalTheoretical and Applied Fracture Mechanics
Volume69
DOIs
Publication statusPublished - 2014 Feb 1

Keywords

  • Local maximum entropy
  • Manifold learning
  • Meshfree method
  • Phase-field model
  • Point-set surfaces
  • Thin shells

ASJC Scopus subject areas

  • Applied Mathematics
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering

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