Quantifying deformation processes near grain boundaries in α titanium using nanoindentation and crystal plasticity modeling

Yi Su, C. Zambaldi, D. Mercier, P. Eisenlohr, T. R. Bieler, M. A. Crimp

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Abstract

The influence of grain boundaries on plastic deformation was studied by carrying out nanoindentation near grain boundaries (GBs). Surface topographies of indentations near grain boundaries were characterized using atomic force microscopy (AFM) and compared to corresponding single crystal indent topographies collected from indentations in grain interiors. Comparison of the single crystal indents to indents adjacent to low-angle boundaries shows that these boundaries have limited effect on the size and shape of the indent topography. Higher angle boundaries result in a decrease in the pile-up topography observed in the receiving grain, and in some cases increases in the topographic height in the indented grain, indicating deformation transfer across these boundaries is more difficult. A crystal plasticity finite element (CPFE) model of the indentation geometry was built to simulate both the single crystal and the near grain boundary indentation (bi-crystal indentation) deformation process. The accuracy of the model is evaluated by comparing the point-wise volumetric differences between simulated and experimentally measured topographies. Good agreement, in both single and bi-crystal cases, suggests that the crystal plasticity kinematics plays a dominant role in single crystal indentation deformation, and is also essential to bi-crystal indentation. Despite the good agreement, some differences between experimental and simulated topographies were observed. These discrepancies have been rationalized in terms of reverse plasticity and the inability of the model to capture the full resistance of the boundary to slip. This is discussed in terms of dislocation nucleation versus glide in the model and in the physics of the slip transfer process.

LanguageEnglish (US)
Pages170-186
Number of pages17
JournalInternational Journal of Plasticity
Volume86
DOIs
StatePublished - Nov 1 2016

Profile

Nanoindentation
Titanium
Indentation
Plasticity
Grain boundaries
Topography
Crystals
Single crystals
Surface topography
Piles
Atomic force microscopy
Plastic deformation
Kinematics
Nucleation
Physics
Geometry

Keywords

  • A. Dislocations
  • A. Ductility
  • A. Grain boundary
  • B. Crystal plasticity
  • Nanoindentation

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Quantifying deformation processes near grain boundaries in α titanium using nanoindentation and crystal plasticity modeling",
abstract = "The influence of grain boundaries on plastic deformation was studied by carrying out nanoindentation near grain boundaries (GBs). Surface topographies of indentations near grain boundaries were characterized using atomic force microscopy (AFM) and compared to corresponding single crystal indent topographies collected from indentations in grain interiors. Comparison of the single crystal indents to indents adjacent to low-angle boundaries shows that these boundaries have limited effect on the size and shape of the indent topography. Higher angle boundaries result in a decrease in the pile-up topography observed in the receiving grain, and in some cases increases in the topographic height in the indented grain, indicating deformation transfer across these boundaries is more difficult. A crystal plasticity finite element (CPFE) model of the indentation geometry was built to simulate both the single crystal and the near grain boundary indentation (bi-crystal indentation) deformation process. The accuracy of the model is evaluated by comparing the point-wise volumetric differences between simulated and experimentally measured topographies. Good agreement, in both single and bi-crystal cases, suggests that the crystal plasticity kinematics plays a dominant role in single crystal indentation deformation, and is also essential to bi-crystal indentation. Despite the good agreement, some differences between experimental and simulated topographies were observed. These discrepancies have been rationalized in terms of reverse plasticity and the inability of the model to capture the full resistance of the boundary to slip. This is discussed in terms of dislocation nucleation versus glide in the model and in the physics of the slip transfer process.",
keywords = "A. Dislocations, A. Ductility, A. Grain boundary, B. Crystal plasticity, Nanoindentation",
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AU - Su,Yi

AU - Zambaldi,C.

AU - Mercier,D.

AU - Eisenlohr,P.

AU - Bieler,T. R.

AU - Crimp,M. A.

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N2 - The influence of grain boundaries on plastic deformation was studied by carrying out nanoindentation near grain boundaries (GBs). Surface topographies of indentations near grain boundaries were characterized using atomic force microscopy (AFM) and compared to corresponding single crystal indent topographies collected from indentations in grain interiors. Comparison of the single crystal indents to indents adjacent to low-angle boundaries shows that these boundaries have limited effect on the size and shape of the indent topography. Higher angle boundaries result in a decrease in the pile-up topography observed in the receiving grain, and in some cases increases in the topographic height in the indented grain, indicating deformation transfer across these boundaries is more difficult. A crystal plasticity finite element (CPFE) model of the indentation geometry was built to simulate both the single crystal and the near grain boundary indentation (bi-crystal indentation) deformation process. The accuracy of the model is evaluated by comparing the point-wise volumetric differences between simulated and experimentally measured topographies. Good agreement, in both single and bi-crystal cases, suggests that the crystal plasticity kinematics plays a dominant role in single crystal indentation deformation, and is also essential to bi-crystal indentation. Despite the good agreement, some differences between experimental and simulated topographies were observed. These discrepancies have been rationalized in terms of reverse plasticity and the inability of the model to capture the full resistance of the boundary to slip. This is discussed in terms of dislocation nucleation versus glide in the model and in the physics of the slip transfer process.

AB - The influence of grain boundaries on plastic deformation was studied by carrying out nanoindentation near grain boundaries (GBs). Surface topographies of indentations near grain boundaries were characterized using atomic force microscopy (AFM) and compared to corresponding single crystal indent topographies collected from indentations in grain interiors. Comparison of the single crystal indents to indents adjacent to low-angle boundaries shows that these boundaries have limited effect on the size and shape of the indent topography. Higher angle boundaries result in a decrease in the pile-up topography observed in the receiving grain, and in some cases increases in the topographic height in the indented grain, indicating deformation transfer across these boundaries is more difficult. A crystal plasticity finite element (CPFE) model of the indentation geometry was built to simulate both the single crystal and the near grain boundary indentation (bi-crystal indentation) deformation process. The accuracy of the model is evaluated by comparing the point-wise volumetric differences between simulated and experimentally measured topographies. Good agreement, in both single and bi-crystal cases, suggests that the crystal plasticity kinematics plays a dominant role in single crystal indentation deformation, and is also essential to bi-crystal indentation. Despite the good agreement, some differences between experimental and simulated topographies were observed. These discrepancies have been rationalized in terms of reverse plasticity and the inability of the model to capture the full resistance of the boundary to slip. This is discussed in terms of dislocation nucleation versus glide in the model and in the physics of the slip transfer process.

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