Mesh-free simulations of shear banding in large deformation

Shaofan Li, Wei Hao, Wing Kam Liu

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

Mesh-free approximation is used in numerical simulations of strain localization under large deformation. An explicit displacement based mesh-free formulation is used in both two-dimensional and three-dimensional computations. The spatial isotropy of mesh-free interpolant is demonstrated through the numerical example to show that mesh-free methods possess certain `mesh objectivity' that alleviates the notorious mesh-alignment sensitivity associated with numerical simulation of strain localization. It is also demonstrated in the paper that mesh-free interpolants can accurately capture finite shear deformation under large mesh distortion without recourse to special mesh design and remeshing. Moreover, curved shear band surface and multiple shear band interactions are captured in numerical simulations.

Original languageEnglish (US)
Pages (from-to)7185-7206
Number of pages22
JournalInternational Journal of Solids and Structures
Volume37
Issue number48
DOIs
StatePublished - Jan 1 2000

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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