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 journalArticle

18 Citations (Scopus)

Abstract

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 (US)
Pages (from-to)173-180
Number of pages8
JournalMaterials Science and Engineering A
Volume631
DOIs
StatePublished - Apr 7 2015

Fingerprint

Polycrystals
polycrystals
Crystal lattices
stiffness matrix
grain boundaries
Polycrystalline materials
Grain boundaries
Stiffness matrix
crystallites
finite element method
Crystallites
Crystal orientation
Numerical methods
microstructure
anisotropy
Anisotropy
Crystalline materials
Finite element method
Microstructure
simulation

Keywords

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

ASJC Scopus subject areas

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

Cite this

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title = "Investigating the microstructural effect on elastic and fracture behavior of polycrystals using a nonlocal lattice particle model",
abstract = "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.",
keywords = "Elasticity, Grain boundary, Intergranular and transgranular fracture, Non-local lattice spring model, Texture",
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AU - Chen, Hailong

AU - Jiao, Yang

AU - Liu, Yongming

PY - 2015/4/7

Y1 - 2015/4/7

N2 - 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.

AB - 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.

KW - Elasticity

KW - Grain boundary

KW - Intergranular and transgranular fracture

KW - Non-local lattice spring model

KW - Texture

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