Microstructural and elasto-plastic material parameters identification by inverse finite elements method of Ti (1−x) Al x N (0 &lt; x &lt; 1) sputtered thin films from Berkovich nano-indentation experiments

Pac, M.-J.; Giljean, Sylvain; Rousselot, C.; Richard, F.; Delobelle, P.

doi:10.1016/j.tsf.2014.07.037

Cited by 20 publications

(20 citation statements)

References 63 publications

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“…The identifiability index used for measuring the information richness in indentation curves and residual topographies is described. This index has been introduced for the first time by Richard et al (Richard et al, 2013) for viscoelastic characterization from the sole indentation force, then in 2014 for plastic characterization from the sole indentation force (Pac et al, 2014). In this section, the identifiability index definition is extended to plastic characterization using residual topographies.…”

Section: Plastic Parameter Identifiability Methodsmentioning

confidence: 99%

Identifiability of single crystal plasticity parameters from residual topographies in Berkovich nanoindentation on FCC nickel

Renner

Bourceret

Gaillard

et al. 2020

Journal of the Mechanics and Physics of Solids

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The information richness of imprints topographies obtained after Berkovich nanoindentation tests at grain scale is assessed for identifying all or part of the parameters of a single crystal plasticity law. In a previous paper (Renner et al., 2016), the strong potential of imprints topographies has been shown through a large experimental campaign conducted on nickel samples. A 3D crystal plasticity finite element modelling (CPFEM) of the nanoindentation experiment using the Méric-Cailletaud has also showed a large sensitivity of residual topographies to the indenter/grain orientation and to the plastic parameters, including the interaction matrix coefficients specifying the interactions between dislocations on different slip systems. This makes imprints topographies very good candidates to provide information for the single crystal parameters identification. The present paper focuses on the Méric-Cailletaud law parameters identifiability using residual topographies. A method is built to define the best well-posed inverse problem to ensure the parameters identification using a crystal plasticity finite element modelling updating (CPFEMU) method. An identifiability index proposed by Richard et al. (Richard et al., 2013) for measuring the information richness of the indentation curve is extended to the analysis of residual topographies. This index quantifies the possibility to achieve a stable/unstable solution using an inverse method. For the studied behaviour, the results show that eight of the nine Méric-Cailletaud law parameters can be identified using three topographies.

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Section: Plastic Parameter Identifiability Methodsmentioning

confidence: 99%

Identifiability of single crystal plasticity parameters from residual topographies in Berkovich nanoindentation on FCC nickel

Renner

Bourceret

Gaillard

et al. 2020

Journal of the Mechanics and Physics of Solids

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“…where ̅ is a dimensionless pseudo-hessian matrix computed by forward finite difference method (Pac et al, 2014;Richard et al, 2013). The components of ̅ are given as:…”

Section: Inverse Methods For the Materials Parameters Estimationmentioning

confidence: 99%

“…The analysis can be done before and after the updating process and therefore does not necessarily require the experimental measurements (only pseudo-experimental loading). The -index is a measure of the conditioning of the inverse problem and is defined as (Pac et al, 2014):…”

Section: Parametric Identifiabilitymentioning

confidence: 99%

On the uniqueness of intrinsic viscoelastic properties of materials extracted from nanoindentation using FEMU

Barick

Gaillard

Lejeune

et al. 2020

International Journal of Solids and Structures

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Instrumented nanoindentation is widely used to extract the material properties from the measured force-displacement curves. In this work, the uniqueness/non-uniqueness of the intrinsic viscoelastic properties of materials determined by nanoindentation during load-unload tests is investigated. A four-parameter viscoelastic law with constant Poisson's ratio is used to model the mechanical behavior of a polymer material and a 2D-axisymetric Finite Element Model (FEM) is used to simulate the nanoindentation test. Firstly, a nanoindentation experimental triangular load-unload test is performed on a bulk sample of polypropylene (PP) with a Berkovich indenter tip at a depth rate of 1000 nm/min. The values of the four material parameters are estimated by the Finite Element Model Updating (FEMU). The numerical results can accurately fit the experimental data. However, several quasi-solutions are shown to exist. These load-unload data allow to identify only three viscoelastic parameters if the Poisson's ratio is known. Secondly, the effect of nanoindentation depth rate, loading type (triangular, trapezoidal, exponential, sinusoidal) and apex angle is numerically investigated using an identifiability index based on the conditioning of the inverse problem. We show a correlation between the identifiability index and the energy dissipated by the material during the tests. The extraction of all material parameters remains impossible using a single test. Finally, some combinations of several nanoindentation triangular tests and indenter tip angles are also investigated. We show that a dual nanoindentation technique (cube corner and Berkovich tips) with triangular load-unload tests is an interesting combination to reliably extract all the viscoelastic parameters, provided that plasticity is taken into account. This result illustrates the interest of using this numerical identifiability index to design nanoindentation experiments to ensure the robustness of the intrinsic viscoelastic properties extraction.

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“…Indentation moduli M bhklN and Berkovich hardnesses H BbhklN of the as-deposited thin films have been presented in ref. [29]. Toughness has been determined using the CPR s criterion proposed by Zhang et al [30].…”

Section: Nano-structurementioning

confidence: 99%

“…For Al-rich films, a more brittle behaviour with the creation of wear debris is observed whatever the target used. For Ti 0.32 Al 0.68 N (M), no abrasion scar is observed because the trapped debris widely spread over the wear track due to a low hardness [13,29]. For Ti 0.38 Al 0.62 N (S), wear mechanisms are different as abrasion scars appear in the wear track and debris are pushed at the end of it.…”

Section: Tribological Propertiesmentioning

confidence: 99%

Friction behaviour of TiAlN films around cubic/hexagonal transition: A 2D grazing incidence X-ray diffraction and electron energy loss spectroscopy study

et al. 2015

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Microstructural and elasto-plastic material parameters identification by inverse finite elements method of Ti (1−x) Al x N (0 < x < 1) sputtered thin films from Berkovich nano-indentation experiments

Abstract: Microstructural and elasto-plastic material parameters identification by inverse finite elements method of Ti (1-x) Al x N (0 < x < 1) sputtered thin films from Berkovich nanoindentation experiments M.J. Pac (a) , S. Giljean (a) , C. Rousselot (b) , F. Richard (c) , P. Delobelle (c)*

Cited by 20 publications

References 63 publications

Identifiability of single crystal plasticity parameters from residual topographies in Berkovich nanoindentation on FCC nickel

Identifiability of single crystal plasticity parameters from residual topographies in Berkovich nanoindentation on FCC nickel

On the uniqueness of intrinsic viscoelastic properties of materials extracted from nanoindentation using FEMU

Friction behaviour of TiAlN films around cubic/hexagonal transition: A 2D grazing incidence X-ray diffraction and electron energy loss spectroscopy study

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