Investigating the microstructural effect on elastic and fracture behavior of polycrystals using a nonlocal lattice particle model

Hailong Chen, Yang Jiao, Yongming Liu

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


A novel nonlocal lattice particle framework is proposed to investigate the microstructural effects, such as the crystallographic orientation distribution and grain boundary properties, on the mechanical performance of 2D polycrystalline materials. The classical approach of treating material anisotropy in other numerical methods, such as finite element method, is by transforming the material stiffness matrix for each crystallite. In the proposed method, the polycrystalline microstructures are constructed by rotating the underlying topological lattice structure consistently with the material crystallographic orientation while keeping the material stiffness matrix intact. By rotating the underlying lattice structure, the grain boundaries between different grains are naturally generated at locations where two crystallites meet. Thus, the grain boundary effect on the performance of the crystalline aggregates can be naturally incorporated. Parametric studies on the effects of crystallographic orientation distribution on both elastic and fracture behavior of polycrystalline materials are performed. The simulation results are compared with both analytical solutions and experimental observations in the open literature. Conclusions and discussions are drawn based on the current study.

Original languageEnglish
Pages (from-to)173-180
Number of pages8
JournalMaterials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing
StatePublished - Apr 7 2015

Bibliographical note

Funding Information:
Y. J. was supported by DARPA under Grant no. N66001-14-1-4036 .

Publisher Copyright:
© 2015 Elsevier B.V.


  • Elasticity
  • Grain boundary
  • Intergranular and transgranular fracture
  • Non-local lattice spring model
  • Texture

ASJC Scopus subject areas

  • Materials Science (all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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