On the Influence of Elastic Deformation for Residual Stress Determination by Sharp Indentation Testing

Larsson, Per-Lennart

doi:10.1007/s11665-017-2816-2

Cited by 15 publications

(11 citation statements)

References 33 publications

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“…It is then important to emphasize that, due to the fact that uniaxial residual stress states are considered, axisymmetric conditions are lost and a full three-dimensional (3D) solution has to be sought for. Similar analyses have been previously performed [13] and, accordingly, concerning details of the numerical approach of this article is referred to.…”

Section: Numerical Analysismentioning

confidence: 82%

“…It should be emphasized that the results above are only valid for the Λ-value specified in Equation (10) (ln Λ = 3.4). Correlation of the hardness variation with ln Λ has been attempted previously [13,14] and as stated above, this correlation is acceptably accurate for equi-biaxial stresses but not so for uniaxial ones. As this state of affairs is in direct agreement with the results presented in Figures 6-8, correlation and accuracy deteriorate with decreasing values on k; this feature will not be dwelled upon further.…”

Section: Resultsmentioning

confidence: 99%

“…However, this is not so in the case of such materials as ceramics and polymers where elastic and plastic deformations are of equal magnitude at the indent. In such a situation, residual stresses do indeed influence hardness values [13,14] and consequently this quantity could be used for residual stress determination.…”

Section: Introductionmentioning

confidence: 99%

“…The results in [13,14] can be summarized as follows: • When elastic deformations around the contact region are in the same order as plastic ones; then the hardness is dependent on residual stresses.…”

mentioning

confidence: 99%

“…Based on the results in [13,14], it can be concluded that the influence from residual stresses on the indentation hardness is quite different in an equi-biaxial situation compared to a uniaxial situation. This indicates that a more general approach to the problem is of substantial interest and this will be attempted presently.…”

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confidence: 99%

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Principal Stress Ratio Effect at Residual Stress Determination Utilizing the Variation of Indentation Hardness

Larsson

2019

Lubricants

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The determination of residual stresses is an important issue when it comes to material failure analysis. The variation of global indentation properties, due to the presence of residual stresses, can serve as a guideline for the size and direction of such stresses. One of these global indentation properties, the material hardness, is unfortunately invariant of residual stresses when metals and alloys are at issue. In this situation, one has to rely on the size of the indentation contact area for residual stress determination. For other materials such as ceramics and polymers, where elastic deformations are of greater importance at indentation, such invariance is no longer present. Here, this variation is investigated based on finite element simulations. The aim is then to determine how the indentation hardness is influenced by the principal residual stress ratio and also discuss if such an influence is sufficient in order to determine the size and direction of such stresses in an experimental situation. It should be emphasized that this work does not suggest a new approach to residual stress determination (by indentation testing) but investigates the applicability of previously derived methods to a situation where the surface stress field is not simplified as equi-biaxial or uniaxial. For simplicity, but not out of necessity, only cone indentation of elastic-perfectly plastic materials is considered.

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Section: Numerical Analysismentioning

confidence: 82%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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Principal Stress Ratio Effect at Residual Stress Determination Utilizing the Variation of Indentation Hardness

Larsson

2019

Lubricants

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The Effect of Residual Stresses on Stress–Strain Curves Obtained via Profilometry‐Based Inverse Finite Element Method Indentation Plastometry

Burley¹,

Campbell²,

Reiff-Musgrove

et al. 2021

Adv Eng Mater

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This paper concerns, the effect of (unknown) residual stresses in the near‐surface region of a sample on outcomes of an indentation plastometry technique for obtaining stress–strain relationships, using relatively large spherical indenters. The technique is based on the iterative finite element method (FEM) simulation of indentation, so as to infer the true stress–strain curve of the material (with the target outcome being the profile of the residual indent). It is expected that residual stress levels (if significant compared with the yield stress) are likely to influence the outcome, and indeed this forms the basis of many attempts to measure residual stresses in this way (using a known stress–strain curve). However, there are important issues of sensitivity here, which affect the reliability of such procedures and are also relevant to the accuracy of stress–strain curves inferred from measurements made on samples containing unknown levels of residual stress. Herein, both experimental work on samples with (equal‐biaxial) residual stresses created by the application of external loads and extensive FEM modeling to explore various scenarios are covered. The main conclusion is that the sensitivities involved are in general very low, particularly with relatively deep indentation. Inferred stress–strain curves are thus likely to be quite accurate, even in the presence of relatively high levels of residual stress. Conversely, the measurement of residual stress levels via this procedure is likely to be rather inaccurate, although the reliability is improved using shallow penetration (low ratio of depth‐to‐indenter radius). It is also noted that tensile residual stresses tend to influence outcomes more strongly than compressive ones.

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On the Variation of Hardness Due to Uniaxial and Equi-Biaxial Residual Surface Stresses at Elastic–Plastic Indentation

Larsson

2018

J. of Materi Eng and Perform

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It is established long since that the material hardness is independent of residual stresses at predominantly plastic deformation close to the contact region at indentation. Recently though, it has been shown that when elastic and plastic deformations are of equal magnitude this invariance is lost. For materials such as ceramics and polymers, this will complicate residual stress determination but can also, if properly understood, provide additional important information for performing such a task. Indeed, when the residual stresses are equi-biaxial, the situation is quite well understood, but additional efforts have to be made to understand the mechanical behavior in other loading states. Presently therefore, the variation of hardness, due to residual stresses, is examined at a uniaxial stress state. Correlation with global indentation quantities is analyzed, discussed and compared to corresponding equi-biaxial results. Cone indentation of elastic-perfectly plastic materials is considered.

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On the Influence of Elastic Deformation for Residual Stress Determination by Sharp Indentation Testing

Cited by 15 publications

References 33 publications

Principal Stress Ratio Effect at Residual Stress Determination Utilizing the Variation of Indentation Hardness

Principal Stress Ratio Effect at Residual Stress Determination Utilizing the Variation of Indentation Hardness

The Effect of Residual Stresses on Stress–Strain Curves Obtained via Profilometry‐Based Inverse Finite Element Method Indentation Plastometry

On the Variation of Hardness Due to Uniaxial and Equi-Biaxial Residual Surface Stresses at Elastic–Plastic Indentation

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