Finite element method-assisted acquisition of the matrix influence on the indentation results of an embedded hard phase

Pöhl, Fabian; Huth, S.; Theisen, W.

doi:10.1016/j.msea.2012.09.029

Cited by 16 publications

(6 citation statements)

References 25 publications

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“…3a. The large Si particle size within the TMAZ reduces the influence of the matrix on the Si measurement, as proved by Pöhl et al [59]. The value obtained by applying the procedure described in hereabove is E = 167 GPa, which is consistent with the literature [73].…”

Section: Si and α-Al Elastic Parameterssupporting

confidence: 87%

“…Based on [58,59], the Poisson's ratio of Si particles is assumed to be ν = 0.3, and only the Young's modulus (ESi) is interesting because the elastic limit (approximately 5000 to 9000 MPa) is higher than the local values in the indentation and tensile load case. ESi identification relies on indentations carried out with the Berkovich indenter within the thermomechanically affected zone (TMAZ) of the specimens post-processed by FSP.…”

Section: Si and α-Al Elastic Parametersmentioning

confidence: 99%

“…Ekici et al [58] pointed out that a random small particle distribution and high volume fractions affect the deformed surface profiles, peak indentation force, and local residual stress. Pöhl et al [59] quantified the influence of the matrix properties on the indentation curve and Young's modulus of an M7C3 carbide particle embedded in an X210Cr12 steel matrix using a 2D FE-model. Durst et al [60] performed 3D FE simulations of nano-indentation to investigate the influence of particles on nickel-based superalloys.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Identification of a soft matrix-hard inclusion material by indentation

Tran

Bouffioux

Dedry

et al. 2022

International Journal of Mechanical Sciences

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Section: Si and α-Al Elastic Parameterssupporting

confidence: 87%

Section: Si and α-Al Elastic Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Identification of a soft matrix-hard inclusion material by indentation

Tran

Bouffioux

Dedry

et al. 2022

International Journal of Mechanical Sciences

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“…FE-simulations were performed using the FE-software ABAQUSr [20]. The FE-model is shown in Figure 3 and based on prior work [21,22]. It is an axisymmetric 2D model with a rigid conical indenter with an half apex angle α.…”

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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“…The axisymmetric 2D model, including the geometry, mesh, and boundary conditions, is based on prior work and is shown in Fig. 4 [20,28]. The pressure field p(x) given by Eq.…”

Section: Inverse Algorithm For Calculating the Impact Pressure From Mmentioning

confidence: 99%

Evaluation of cavitation-induced pressure loads applied to material surfaces by finite-element-assisted pit analysis and numerical investigation of the elasto-plastic deformation of metallic materials

Pöhl

Mottyll

Skoda

et al. 2015

Wear

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Finite element method-assisted acquisition of the matrix influence on the indentation results of an embedded hard phase

Cited by 16 publications

References 25 publications

Identification of a soft matrix-hard inclusion material by indentation

Identification of a soft matrix-hard inclusion material by indentation

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

Evaluation of cavitation-induced pressure loads applied to material surfaces by finite-element-assisted pit analysis and numerical investigation of the elasto-plastic deformation of metallic materials

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