Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials

Most materials are mechanically heterogeneous on a certain length scale. In many applications, this heterogeneity is crucial for the material’s function, and exploiting mechanical heterogeneity could lead to new materials with interesting features, which require accurate understanding of the local m...

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Main Authors: J. N. M. Boots, R. Kooi, T. E. Kodger, J. van der Gucht
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-09-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2021.723768/full
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author J. N. M. Boots
R. Kooi
T. E. Kodger
J. van der Gucht
author_facet J. N. M. Boots
R. Kooi
T. E. Kodger
J. van der Gucht
author_sort J. N. M. Boots
collection DOAJ
description Most materials are mechanically heterogeneous on a certain length scale. In many applications, this heterogeneity is crucial for the material’s function, and exploiting mechanical heterogeneity could lead to new materials with interesting features, which require accurate understanding of the local mechanical properties. Generally used techniques to probe local mechanics in mechanically heterogeneous materials include indentation and atomic force microscopy. However, these techniques probe stresses at a region of finite size, so that experiments on a mechanically heterogeneous material lead to blurring or convolution of the measured stress signal. In this study, finite element method simulations are performed to find the length scale over which this mechanical blurring occurs. This length is shown to be a function of the probe size and indentation depth, and independent of the elastic modulus variations in the heterogeneous material, for both 1D and 2D modulus profiles. Making use of these findings, we then propose two deconvolution methods to approximate the actual modulus profile from the apparent, blurred measurements, paving the way for an accurate determination of the local mechanical properties of heterogeneous materials.
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spelling doaj.art-1db2a20a97404b07baa5bea29fa88bf12022-12-21T18:45:34ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-09-01910.3389/fphy.2021.723768723768Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous MaterialsJ. N. M. Boots0R. Kooi1T. E. Kodger2J. van der Gucht3Physical Chemistry and Soft Matter, Wageningen University and Research, Wageningen, NetherlandsDepartment of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, NetherlandsPhysical Chemistry and Soft Matter, Wageningen University and Research, Wageningen, NetherlandsPhysical Chemistry and Soft Matter, Wageningen University and Research, Wageningen, NetherlandsMost materials are mechanically heterogeneous on a certain length scale. In many applications, this heterogeneity is crucial for the material’s function, and exploiting mechanical heterogeneity could lead to new materials with interesting features, which require accurate understanding of the local mechanical properties. Generally used techniques to probe local mechanics in mechanically heterogeneous materials include indentation and atomic force microscopy. However, these techniques probe stresses at a region of finite size, so that experiments on a mechanically heterogeneous material lead to blurring or convolution of the measured stress signal. In this study, finite element method simulations are performed to find the length scale over which this mechanical blurring occurs. This length is shown to be a function of the probe size and indentation depth, and independent of the elastic modulus variations in the heterogeneous material, for both 1D and 2D modulus profiles. Making use of these findings, we then propose two deconvolution methods to approximate the actual modulus profile from the apparent, blurred measurements, paving the way for an accurate determination of the local mechanical properties of heterogeneous materials.https://www.frontiersin.org/articles/10.3389/fphy.2021.723768/fulldeconvolutionheterogeneityindentationfintie element model (FEM)length scale
spellingShingle J. N. M. Boots
R. Kooi
T. E. Kodger
J. van der Gucht
Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials
Frontiers in Physics
deconvolution
heterogeneity
indentation
fintie element model (FEM)
length scale
title Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials
title_full Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials
title_fullStr Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials
title_full_unstemmed Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials
title_short Mechanical Deconvolution of Elastic Moduli by Indentation of Mechanically Heterogeneous Materials
title_sort mechanical deconvolution of elastic moduli by indentation of mechanically heterogeneous materials
topic deconvolution
heterogeneity
indentation
fintie element model (FEM)
length scale
url https://www.frontiersin.org/articles/10.3389/fphy.2021.723768/full
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