Finite element implementation of a non-local particle method for elasticity and fracture analysis

Enqiang Lin, Hailong Chen, Yongming Liu

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


A finite element formulation for a non-local particle method is proposed in this paper for elasticity and fracture analysis of 2D solids. The model is based on a new particle method which incorporates a non-local multi-body particle interaction into the conventional pair-wise particle interactions. The non-local particle method is capable of modeling solids with arbitrary Poissons ratio. Finite element formulation is proposed for the implicit solution of elasticity and fracture problems under static/quasi-static conditions, which is very efficient compared to the direct explicit solution in particle dynamics. Energy minimization principle is used to develop a new finite element with both local pair-wise and non-local multi-body particle interactions. The developed finite element formulation is verified with classical finite element simulation of some benchmark problems. Fracture simulation using the proposed particle-based finite element formulation is demonstrated. Some conclusions and future work is drawn based on the current investigation.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalFinite Elements in Analysis and Design
Issue numberC
StatePublished - Jan 1 2015


  • Elasticity
  • Finite element
  • Fracture
  • Particle method
  • Poissons ratio

ASJC Scopus subject areas

  • Analysis
  • Engineering (all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics


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