Finite element simulation of indentation experiments

Bhattacharya, A. K.; Nix, William D.

doi:10.1016/0020-7683(88)90039-x

Cited by 311 publications

(115 citation statements)

References 13 publications

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“…The present measurements are reasonably close to the single crystal data at room temperature, and only marginally below at 100º C; the deviation is within the uncertainty range normally placed on modulus measurements by nanoindentation (±20%) and about one standard deviation in the measurements. The small difference may be due to crystal orientation or multiaxiality, which is known to cause changes of such order in the reduced modulus measurement 75 . Most encouraging is the trend of decreasing modulus with temperature in the nanoindentation measurements.…”

Section: Aluminummentioning

confidence: 99%

Hot nanoindentation in inert environments

Trenkle

Packard

Schuh

2010

Review of Scientific Instruments

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An instrument capable of performing nanoindentation at temperatures up to 500 o C in inert atmospheres, including partial vacuum and gas near atmospheric pressures, is described.Technical issues associated with the technique (such as drift and noise) and the instrument (such as tip erosion and radiative heating of the transducer) are identified and addressed. Based on these considerations, preferred operation conditions are identified for testing on various materials. As a proof-of-concept demonstration, the hardness and elastic modulus of three materials are measured: fused silica (non-oxidizing), aluminum and copper (both oxidizing). In all cases, the properties match reasonably well with published data acquired by more conventional test methods.2

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Section: Aluminummentioning

confidence: 99%

Hot nanoindentation in inert environments

Trenkle

Packard

Schuh

2010

Review of Scientific Instruments

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“…The finite element method has promoted understanding of indentation [36][37][38][39][40][41][42][43][44][45]. Mostly two-dimensional or axisymmetric models were applied.…”

Section: Nanoindentation and Piling-up Of Materialsmentioning

confidence: 99%

“…Friction is known to have a minor effect on the load-displacement response of indentation [36]. However, Liu et al [49] have shown that the value of the coefficient of friction might affect the maximum height of the formed pile-up.…”

Section: Finite Element Simulationsmentioning

confidence: 99%

Plastic anisotropy of γ-TiAl revealed by axisymmetric indentation

Zambaldi¹,

Raabe²

2010

Acta Materialia

106

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Single crystals of γ-TiAl cannot be grown in the near-stoichiometric compositions that are present inside two-phase γ/α 2 -microstructures with attractive mechanical properties. Therefore, the single crystal constitutive behavior of γ-TiAl was studied by nanoindentation experiments in single phase regions of these γ/α 2 -microstructures. The experiments were characterized by orientation microscopy and atomic force microscopy to quantify the orientation dependent mechanical response during nanoindentation. Further, they were analyzed by a 3D crystal plasticity finite element model that incorporated the deformation behavior of γ-TiAl. The spatially resolved activation of competing deformation mechanisms during indentation was used to assess their relative strengths. A convention was defined to unambiguously relate any indentation axis to a crystallographic orientation. Experiments and simulations were combined to study the orientation dependent surface pile-up. The characteristic pile-up topographies were simulated throughout the unit triangle of γ-TiAl and represented graphically in the newly introduced inverse pole figure of pile-up patterns. Through this approach, easy activation of ordinary dislocation glide in stoichiometric γ-TiAl was confirmed independently from dislocation observation by transmission electron microscopy.

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“…Using 2D cone FEM simulating 3D indenter with non-axisymmetric introduced an important problem: How to determine the angle on the tip of cone. Considering the characteristics of Vicker indenter, Bhattacharya [3] used directly a rigid cone with a semi-vertical angle φ = 68'.…”

Section: The Relationship Between 2d and 3d Fem Simulationmentioning

confidence: 99%

“…As the limitations of computer in speed and capability, Bhattacharya [3], who firstly used finite element method simulating micro-scale indentation process of homogeneous material, used the 2D axisymmetric cone model simulating Vicker indenter and Berkovich indenter.…”

Section: Introductionmentioning

confidence: 99%