The correlation between the internal material length scale and the microstructure in nanoindentation experiments and simulations using the conventional mechanism-based strain gradient plasticity theory

Bjoem Backes*, Y. Y. Huang, M. Göken, K. Durst

*Corresponding author for this work

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17 Citations (Scopus)

Abstract

In the present work a new equation to determine the internal material length scale for strain gradient plasticity theories from two independent experiments (uniaxial and nanoindentation tests) is introduced. The applicability of the presented equation is verified for conventional grained as well as for ultrafine-grained copper and brass with different amounts of prestraining. A significant decrease of the experimentally determined internal material length scale is found for increasing dislocation densities due to prestraining. Conventional mechanism strain gradient plasticity theory is used for simulating the indentation response, using experimentally determined material input data as the yield stress, the work-hardening behavior and the internal material length scale. The work-hardening behavior and the yield stress were taken from the uniaxial experiments, whereas the internal material length scale was calculated using the yield stress from the uniaxial experiment, the macroscopic hardness H 0 and the length scale parameter h* following from the nanoindentation experiment. A good agreement between the measured and calculated load-displacement curve and the hardness is found independent of the material and the microstructure.

Original languageEnglish (US)
Pages (from-to)1197-1207
Number of pages11
JournalJournal of Materials Research
Volume24
Issue number3
DOIs
StatePublished - Mar 1 2009

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Nanoindentation
nanoindentation
plastic properties
Plasticity
gradients
microstructure
Microstructure
prestressing
work hardening
Yield stress
simulation
Experiments
Strain hardening
hardness
Hardness
brasses
indentation
Brass
Indentation
Copper

ASJC Scopus subject areas

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

Cite this

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title = "The correlation between the internal material length scale and the microstructure in nanoindentation experiments and simulations using the conventional mechanism-based strain gradient plasticity theory",
abstract = "In the present work a new equation to determine the internal material length scale for strain gradient plasticity theories from two independent experiments (uniaxial and nanoindentation tests) is introduced. The applicability of the presented equation is verified for conventional grained as well as for ultrafine-grained copper and brass with different amounts of prestraining. A significant decrease of the experimentally determined internal material length scale is found for increasing dislocation densities due to prestraining. Conventional mechanism strain gradient plasticity theory is used for simulating the indentation response, using experimentally determined material input data as the yield stress, the work-hardening behavior and the internal material length scale. The work-hardening behavior and the yield stress were taken from the uniaxial experiments, whereas the internal material length scale was calculated using the yield stress from the uniaxial experiment, the macroscopic hardness H 0 and the length scale parameter h* following from the nanoindentation experiment. A good agreement between the measured and calculated load-displacement curve and the hardness is found independent of the material and the microstructure.",
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T1 - The correlation between the internal material length scale and the microstructure in nanoindentation experiments and simulations using the conventional mechanism-based strain gradient plasticity theory

AU - Backes, Bjoem

AU - Huang, Y. Y.

AU - Göken, M.

AU - Durst, K.

PY - 2009/3/1

Y1 - 2009/3/1

N2 - In the present work a new equation to determine the internal material length scale for strain gradient plasticity theories from two independent experiments (uniaxial and nanoindentation tests) is introduced. The applicability of the presented equation is verified for conventional grained as well as for ultrafine-grained copper and brass with different amounts of prestraining. A significant decrease of the experimentally determined internal material length scale is found for increasing dislocation densities due to prestraining. Conventional mechanism strain gradient plasticity theory is used for simulating the indentation response, using experimentally determined material input data as the yield stress, the work-hardening behavior and the internal material length scale. The work-hardening behavior and the yield stress were taken from the uniaxial experiments, whereas the internal material length scale was calculated using the yield stress from the uniaxial experiment, the macroscopic hardness H 0 and the length scale parameter h* following from the nanoindentation experiment. A good agreement between the measured and calculated load-displacement curve and the hardness is found independent of the material and the microstructure.

AB - In the present work a new equation to determine the internal material length scale for strain gradient plasticity theories from two independent experiments (uniaxial and nanoindentation tests) is introduced. The applicability of the presented equation is verified for conventional grained as well as for ultrafine-grained copper and brass with different amounts of prestraining. A significant decrease of the experimentally determined internal material length scale is found for increasing dislocation densities due to prestraining. Conventional mechanism strain gradient plasticity theory is used for simulating the indentation response, using experimentally determined material input data as the yield stress, the work-hardening behavior and the internal material length scale. The work-hardening behavior and the yield stress were taken from the uniaxial experiments, whereas the internal material length scale was calculated using the yield stress from the uniaxial experiment, the macroscopic hardness H 0 and the length scale parameter h* following from the nanoindentation experiment. A good agreement between the measured and calculated load-displacement curve and the hardness is found independent of the material and the microstructure.

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