Elastic constants determination of anisotropic materials by depth-sensing indentation

Lamuta, Caterina

doi:10.1007/s42452-019-1301-y

Cited by 10 publications

(6 citation statements)

References 61 publications

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“…This method has proven to be very accurate in calculating the orthotropic elastic moduli of materials from monotonic instrumented nanoindentation techniques and for nanomechanical characterization of thin film coatings. [ 46,63 ] In this work, an algorithm initially proposed in the study by Lamuta [ 74 ] is applied to find the orthotropic elastic constants of the material. It consists of finding the three main independent elastic moduli of the material ( E 11 , E 22 , and E 33 ) and the Poisson's ratios, assuming that the corresponding shear moduli ( G 44 , G 55 , and G 66 ) can be written as functions of the elastic coefficients mentioned earlier, i.e.

{\begin{matrix} G_{12} = \frac{E_{11}}{2 false(1 + ν_{12} false)} \\ G_{13} = \frac{E_{33}}{2 false(1 + ν_{13} false)} \\ G_{23} = \frac{E_{22}}{2 false(1 + ν_{23} false)} \end{matrix}

…”

Section: Methodsmentioning

confidence: 99%

“…Now, following the Delafargue and Ulm [ 63 ] approach,

M_{k}^{normalD}

is then calculated as a function of the components of the stiffness matrix of the indented material. [ 63,74 ] The stiffness matrix, calculated as the inverse of the orthotropic compliance matrix (Equation ()), is expressed in Voigt notation as follows

inv false({boldC}^{bolde} false) = C = 17extrue(\begin{matrix} C_{11} & C_{12} & C_{13} & 0 & 0 & 0 \\ C_{21} & C_{22} & C_{23} & 0 & 0 & 0 \\ C_{31} & C_{32} & C_{33} & 0 & 0 & 0 \\ 0 & 0 & 0 & C_{44} & 0 & 0 \\ 0 & 0 & 0 & 0 & C_{55} & 0 \\ 0 & 0 & 0 & 0 & 0 & C_{66} \end{matrix} 17extrue)

…”

Section: Methodsmentioning

confidence: 99%

“…The accurate numerical response predicted by the orthotropic elastoplastic model validated the material parameters, and the Delafargue and Ulm method [ 63 ] allowed quantification of the uncertainty errors between orthotropic Young moduli identification methods. [ 74 ] Within this context, the current work opens opportunities for future inverse identification procedures of mechanical plasticity models at different length scales by combining instrumented nanoindentation with the SEM imaging technique.…”

Section: Introductionmentioning

confidence: 99%

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Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

et al. 2021

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The research interest in titanium alloys lies in the fact that their exceptional mechanical properties make them ideal for specific industrial applications, such as biomedical, aerospace, and military industries. [1][2][3] Despite its high cost, Ti-6Al-4V alloy is currently the most widely used titanium alloy, [4] combining good biocompatibility and corrosion resistance, [5][6][7][8][9][10] high strength, low weight, and ductility. [11][12][13][14][15][16] Several manufacturing processes among the aforementioned applications contemplate the implementation of material characterization procedures, either on pristine samples of the material or on previously manufactured parts. The most commonly applied experimental procedures to identify the macroscopic orthotropic elastoplastic properties of a material include monotonic tensile, [17,18] compression, [19,20] and shear [21,22] tests of material samples obtained from its orthogonal directions. The main limitations of these tests are the size of the specimens and their subsequent destruction,

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{\begin{matrix} G_{12} = \frac{E_{11}}{2 false(1 + ν_{12} false)} \\ G_{13} = \frac{E_{33}}{2 false(1 + ν_{13} false)} \\ G_{23} = \frac{E_{22}}{2 false(1 + ν_{23} false)} \end{matrix}

…”

Section: Methodsmentioning

confidence: 99%

“…Now, following the Delafargue and Ulm [ 63 ] approach,

M_{k}^{normalD}

inv false({boldC}^{bolde} false) = C = 17extrue(\begin{matrix} C_{11} & C_{12} & C_{13} & 0 & 0 & 0 \\ C_{21} & C_{22} & C_{23} & 0 & 0 & 0 \\ C_{31} & C_{32} & C_{33} & 0 & 0 & 0 \\ 0 & 0 & 0 & C_{44} & 0 & 0 \\ 0 & 0 & 0 & 0 & C_{55} & 0 \\ 0 & 0 & 0 & 0 & 0 & C_{66} \end{matrix} 17extrue)

…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

et al. 2021

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“…Hence, the intrinsic structural arrangement and connectivity also impact nano-indentation measurements. The measurement of the stiffness and hardness of thin films and coatings [26,30] has to take into account the nano-indentation and plasticity effects [5], in particular, for Au nanoporous structures to provide meaningful results [31,32]. However, the typical indentation depths involved in the measurements, ranging from a few hundred nanometers to several microns [26], are larger than the ultrathin porous film thickness described in this review.…”

Section: Mechanical Propertiesmentioning

confidence: 98%

Mechanical Properties of Nanoporous Metallic Ultrathin Films: A Paradigmatic Case

et al. 2021

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Nanoporous ultrathin films, constituted by a slab less than 100 nm thick and a certain void volume fraction provided by nanopores, are emerging as a new class of systems with a wide range of possible applications, including electrochemistry, energy storage, gas sensing and supercapacitors. The film porosity and morphology strongly affect nanoporous films mechanical properties, the knowledge of which is fundamental for designing films for specific applications. To unveil the relationships among the morphology, structure and mechanical response, a comprehensive and non-destructive investigation of a model system was sought. In this review, we examined the paradigmatic case of a nanoporous, granular, metallic ultrathin film with comprehensive bottom-up and top-down approaches, both experimentals and theoreticals. The granular film was made of Ag nanoparticles deposited by gas-phase synthesis, thus providing a solvent-free and ultrapure nanoporous system at room temperature. The results, bearing generality beyond the specific model system, are discussed for several applications specific to the morphological and mechanical properties of the investigated films, including bendable electronics, membrane separation and nanofluidic sensing.

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“…This is especially the case of the pyC matrices which are difficult to isolate from the fibrous preforms and hence to characterize with other techniques like tensile or bending tests. However, it is agreed that compression/indentation tests are generally much more difficult to interpret in terms of the materials elastic tensors, especially when such tensors show high anisotropy [10,14], which is generally the case of both carbon fibers and high texture pyC matrices. A particularly counter-intuitive result is generally reported when NI tests are performed with the indentation direction parallel to the graphene layers (a-axis) of highly anisotropic carbons.…”

Section: Introductionmentioning

confidence: 99%

Mechanisms of elastic softening in highly anisotropic carbons under in-plane compression/indentation

Leyssale

Couégnat

Jouannigot

et al. 2022

Carbon

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Elastic constants determination of anisotropic materials by depth-sensing indentation

Cited by 10 publications

References 61 publications

Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

Nanomechanical Characterization of the Deformation Response of Orthotropic Ti–6Al–4V

Mechanical Properties of Nanoporous Metallic Ultrathin Films: A Paradigmatic Case

Mechanisms of elastic softening in highly anisotropic carbons under in-plane compression/indentation

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