Indentation size effect

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Higher hardness values are measured at lower indent depths which correspond to smaller indent areas. The increase measured hardness is believed to be the result of geometrically necessary dislocations.
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is the hardness due solely to statistically stored dislocations without the impact of geometrically necessary dislocations. Indentation Size Effect Fake Data.svg
Higher hardness values are measured at lower indent depths which correspond to smaller indent areas. The increase measured hardness is believed to be the result of geometrically necessary dislocations. is the hardness due solely to statistically stored dislocations without the impact of geometrically necessary dislocations.

The indentation size effect (ISE) is the observation that hardness tends to increase as the indent size decreases at small scales. [1] [2] When an indent (any small mark, but usually made with a special tool) is created during material testing, the hardness of the material is not constant. At the small scale, materials will actually be harder than at the macro-scale. For the conventional indentation size effect, the smaller the indentation, the larger the difference in hardness. The effect has been seen through nanoindentation and microindentation measurements at varying depths. Dislocations increase material hardness by increasing flow stress through dislocation blocking mechanisms. [3] [ clarification needed ] Materials contain statistically stored dislocations (SSD) which are created by homogeneous strain and are dependent upon the material and processing conditions. [4] Geometrically necessary dislocations (GND) on the other hand are formed, in addition to the dislocations statistically present, to maintain continuity within the material.

These additional geometrically necessary dislocations (GND) further increase the flow stress in the material and therefore the measured hardness. Theory suggests that plastic flow is impacted by both strain and the size of the strain gradient experienced in the material. [5] [6] Smaller indents have higher strain gradients relative to the size of the plastic zone and therefore have a higher measured hardness in some materials.

Indenter tip generating geometrically necessary dislocations Geometrical Necessary Dislocations during Indent.svg
Indenter tip generating geometrically necessary dislocations

For practical purposes this effect means that hardness in the low micro and nano regimes cannot be directly compared if measured using different loads. However, the benefit of this effect is that it can be used to measure the effects of strain gradients on plasticity. Several new plasticity models have been developed using data from indentation size effect studies, [4] which can be applied to high strain gradient situations such as thin films. [7]

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<span class="mw-page-title-main">Vickers hardness test</span> Hardness test

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Indentation hardness tests are used in mechanical engineering to determine the hardness of a material to deformation. Several such tests exist, wherein the examined material is indented until an impression is formed; these tests can be performed on a macroscopic or microscopic scale.

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<span class="mw-page-title-main">Nanoindenter</span>

A nanoindenter is the main component for indentation hardness tests used in nanoindentation. Since the mid-1970s nanoindentation has become the primary method for measuring and testing very small volumes of mechanical properties. Nanoindentation, also called depth sensing indentation or instrumented indentation, gained popularity with the development of machines that could record small load and displacement with high accuracy and precision. The load displacement data can be used to determine modulus of elasticity, hardness, yield strength, fracture toughness, scratch hardness and wear properties.

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References

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  2. Sargent, PM (1985), "Use of the Indentation Size Effect on Microhardness for Materials Characterization", Microindentation Techniques in Materials Science and Engineering, ASTM International, pp. 160–160–15, doi:10.1520/stp32956s, ISBN   978-0-8031-0441-9
  3. Askeland, Donald R. (2016). The science and engineering of materials. Wright, Wendelin J. (Seventh ed.). Boston, MA: Cengage Learning. pp. 111–118. ISBN   9781305076761. OCLC   903959750.
  4. 1 2 Nix, William D.; Gao, Huajian (October 1997). "Indentation size effects in crystalline materials: A law for strain gradient plasticity". Journal of the Mechanics and Physics of Solids. 46 (3): 411–425. doi: 10.1016/s0022-5096(97)00086-0 . ISSN   0022-5096.
  5. Fischer-Cripps, Anthony C. (2000). Introduction to contact mechanics. New York: Springer. ISBN   0387989145. OCLC   41991465.
  6. Wu, Theodore; Hutchinson, John; Fleck, N (1997). "Strain Gradient Plasticity". Advances in Applied Mechanics. Vol. 33. Elsevier Science. p. 296. ISBN   9780080564111.
  7. Voyiadjis, George; Yaghoobi, Mohammadreza (2017-10-23). "Review of Nanoindentation Size Effect: Experiments and Atomistic Simulation". Crystals. 7 (10): 321. doi: 10.3390/cryst7100321 . ISSN   2073-4352.