Materials characterization by instrumented indentation using two different approaches

Collin, Jean-Marc; Mauvoisin, Gérard; Pilvin, Philippe

doi:10.1016/j.matdes.2009.05.043

Cited by 48 publications

(35 citation statements)

References 25 publications

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“…(15). Let us also compare the results with the data of the finite element analysis [19]. 2 2 2 3 2 43 , 3 05 , 34 , 0 45 , 9993 16 , 437 1 81 , 1 34 , 8 70 .…”

Section: Comparison With Experimental Data and Published Data Of The mentioning

confidence: 99%

The elastic-plastic contact of a single asperity of a rough surface

2017

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Abstract.A penetration of spherical asperity into the elastic-plastic hardening half-space is described. The elastic-plastic material properties correspond to Hollomon's power law. In this case the empirical Meyer law relating a spherical indentation load with an indentation diameter d is used. Initially, the Meyer law is not related to the mechanical characteristics of the test material. The study used the relations between the strain hardening exponent n and the Meyer law constant obtained by S.I. Bulychev. The effects relating to elastic punching and plastic displacement of material are taked into account. It is shown that there is no need to define Meyer law constants. Expressions relating the value of the relative load magnitude to the relative indenter penetration magnitude are presented. The scope of application of the proposed equations is defined. A comparison of the obtained results with the experimental data and published data of the finite element analysis is given.

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“…(15). Let us also compare the results with the data of the finite element analysis [19]. 2 2 2 3 2 43 , 3 05 , 34 , 0 45 , 9993 16 , 437 1 81 , 1 34 , 8 70 .…”

Section: Comparison With Experimental Data and Published Data Of The mentioning

confidence: 99%

The elastic-plastic contact of a single asperity of a rough surface

2017

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“…It has been demonstrated that the indentation test can provide an accurate prediction of the mechanical behavior of homogenous materials [5][6][7][8][9][10][11][12][13][14]. This test does not directly provide the stress-strain curve σ(ε) of the tested sample but an indentation load-depth curve F(h) from which the parameters of the material's hardening law can be determined.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigation on carbonitrided steel characterization with spherical indentation

Moussa

Bartier

Mauvoisin

et al. 2014

Surface and Coatings Technology

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International audienceThis study investigates the mechanical behavior of a carbonitrided steel, plastically graded material, during a spherical indentation test. We demonstrate that the behavior of a carbonitrided steel can be simulated accurately with a seven layer sample, including the surface, five intermediate layers and the substrate. Moreover, for engineering design simulations which require a lot of calculation time, using three layers provides a good compromise for accuracy. A complete experimental procedure involving seven successive identifications with inverse analysis gave the same results as a simpler procedure proposed in a previous paper. It is shown that the assumption of a linear variation of the properties in the intermediate layers between surface and substrate is valid. This is the first time that an instrumented roller indentation test has demonstrated the reliability of the proposed method for the mechanical characterization of carbonitrided steels with spherical indentation

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“…The minimization process is controlled by optimization/minimization methods and algorithms such as Levenberg-Marquardt, Simplex, SiDoLo or Kalman [11][12][13][14][15][16][17]. The algorithms minimize an objective-function, which describes the error between the two curves (e.g.…”

Section: Inverse Algorithm and Fe-modelmentioning

confidence: 99%

Measuring Plastic Properties from Sharp Nanoindentation: A Finite-Element Study on the Uniqueness of Inverse Solutions

Pöhl¹

2018

RDMS

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Nanoindentation is a non-destructive and simple method to measure important mechanical properties of materials. According to the analysis of Oliver and Pharr e.g. Young's modulus and hardness can determine directly from a measured load-displacement curve [1]. Indirectly the loaddisplacement curve contains the whole stress-strain behavior of the material although it is not directly accessible [2]. Thus the determination of the stress-strain curve from a given load-displacement curve leads to an inverse problem. Several approaches and methods have been developed in order to solve the inverse indentation problem. On the one hand there are approaches based on dimensional analysis [3][4][5][6][7]. On the other hand optimization algorithms were developed. A main problem is that the inverse problem is ill-posed and thus the uniqueness of the inverse solution is often not granted [8,9]. Different material parameter can lead to indistinguishable load-displacement curves. This problem occurs although multiple indenter algorithms are used [10]. In a first step this paper shows for a power-law material behavior (σ=Kεn) the problem of non-uniqueness in inverse analysis using an optimization algorithm. In case of a single indenter optimization process the inverse solution is not unique and there is an infinite number of material parameter combinations leading to indistinguishable load-displacement curves. In a second step an energy based mathematical analysis of the problem is introduced, which shows that a mathematical relationship between all possible inverse solutions exists. In order to extract a unique solution a second indenter with a different geometry (different apex angle) is used. The second indenter leads due to changed applied strain field to a second set of inverse solutions and a second mathematical relationship. In case of the two parameters of the power-law the unique solution can be calculated from the two derived equations. This procedure was subsequently checked and verified with finite-element calculations.

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Materials characterization by instrumented indentation using two different approaches

Cited by 48 publications

References 25 publications

The elastic-plastic contact of a single asperity of a rough surface

The elastic-plastic contact of a single asperity of a rough surface

Experimental and numerical investigation on carbonitrided steel characterization with spherical indentation

Measuring Plastic Properties from Sharp Nanoindentation: A Finite-Element Study on the Uniqueness of Inverse Solutions

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