Abstract
In this study, a multiscale property evaluation framework for heterogeneous materials with complex microstructures on a sub-micro scale has been proposed. A detailed investigation of the three-dimensional (3D) microstructural features is necessary for the evaluation of the properties of heterogeneous materials with complex microstructures. However, for heterogeneous materials with microstructures on a sub-micro scale, it is difficult to observe the 3D microstructural features owing to the limit of resolution. In this study, virtual 3D samples were reconstructed based on two-dimensional images, and tensile simulations were performed using the reconstructed 3D samples instead of the real 3D microstructures. The input parameters for the tensile-property simulations were measured via atomic force microscopy, which is used to measure the phase stiffness on a sub-micro scale. The results from these simulations were then compared with those of the experiment on a macro scale to confirm the correlation between the mechanical properties measured on the sub-micron and macro scales.
Similar content being viewed by others
References
F. Georget, W. Wilson, K. Scrivener, edxia: Microstructure characterisation from quantified SEM-EDS hypermaps. Cem. Concr. Res. 141, 106327 (2020)
A. Salerno, M. Oliviero, E. Maio, S. Iannace, P. Netti, Design of porous polymeric scaffolds by gas foaming of heterogeneous blends. J. Mater. Sci.-Mater. Med. 20, 2043–2051 (2009)
P. Ghods, O. Isgor, G. Carpenter, J. Li, G. McRae, G. Gu, Nano-scale study of passive films and chloride-induced depassivation of carbon steel rebar in simulated concrete pore solutions using FIB/TEM. Cem. Concr. Res. 47, 55–68 (2013)
Y. Tanaka, K. Naito, H. Kakisawa, Measurement method of multi scale thermal deformation inhomogeneity in CFRP using in situ FE-SEM observations. Compos. Pt. A-Appl. Sci. Manuf. 102, 178–183 (2017)
P. Tahmasebi, M. Sahimi, A. Kohanpur, A. Valocchi, Pore-scale simulation of flow of co\(_2\) and brine in reconstructed and actual 3d rock cores. J. Pet. Sci. Eng. 155, 21–33 (2017)
P. Tahmasebi, Nanoscale and multiresolution models for shale samples. Fuel 217, 218–225 (2018)
P. Tahmasebi, Accurate modeling and evaluation of microstructures in complex materials. Phys. Rev. E 97(2), 023307 (2018)
C. Yeong, S. Torquato, Reconstructing random media. II. Three-dimensional media from two-dimensional cuts. Phys. Rev. E. 58, 224–233 (1998)
S. Torquato, Random heterogeneous materials: microstructure and macroscopic properties (Springer, Berlin, 2002)
S.-Y. Chung, T.-S. Han, Correlation between low-order probability distribution functions and percolation of porous concrete. Mag. Concr. Res. 65, 448–460 (2013)
S.-Y. Chung, D. Stephan, M. Elrahman, T.-S. Han, Effects of anisotropic voids on thermal properties of insulating media invesigated using 3D printered samples. Constr. Build. Mater. 111, 529–542 (2016)
D. Clausi, An analysis of co-occurrence texture statistics as a function of grey level quantization. Can. J. Remote Sens. 28, 45–62 (2002)
R. Gonzalez, R. Woods, Digital image processing (Prentice Hall, Upper Saddle River, 2002)
R. Haralick, K. Shanmugam, I. Dinstein, Textural features for image classification. IEEE Trans. Syst. Man Cybern. 6, 610–621 (1973)
R. Harlick, Statistical and structural approaches to texture. Proc. IEEE 67, 786–804 (1979)
J. Lee, C. Park, J. Jung, J.-H. Kim, J. Kim, Dual-phase all-polymeric membranes with graft copolymer filler for co\(_2\) capture. Chem. Eng. J. 334, 939–947 (2018)
MATLAB, version 9.2.0 (R2017a), The MathWorks Inc., Natick, Massachusetts (2017)
J.-S. Kim, S.-Y. Chung, D. Stephan, T.-S. Han, Issues on characterization of cement paste microstructures from \(\mu \)-CT and virtual experiment framework for evaluating mechanical properties. Const. Build. Mater. 202, 82–102 (2019)
S.-Y. Kim, J.-S. Kim, J. H. Lee, J. H. Kim, T.-S. Han, Comparison of microstructure characterization methods by two-point correlation functions and reconstruction of 3d microstructures using 2d TEM images with high degree of phase clustering. Mater. Charact. 110876 (2021)
S.-Y. Kim, J.-S. Kim, J.H. Lee, J.H. Kim, T.-S. Han, Phase stiffness estimation of two-phase Pebax/PBE membranes using reconstructed 3d microstructures. Multiscale Sci. Eng. 2, 143–152 (2020)
J.-S. Kim, J. Kim, T.-S. Han, Microstructure characterization of cement paste from micro-CT and correlations with mechanical properties evaluated from virtual and real experiments. Mater. Char. 155, 109807 (2019)
S.-Y. Kim, J.-S. Kim, J. Kang, T.-S. Han, Construction of virtual interfacial transition zone (ITZ) samples of hydrated cement paste using extended stochastic optimization. Cem. Concr. Compos. 102, 84–93 (2019)
J.-S. Kim, S.-Y. Kim, T.-S. Han, Sensitivity and uncertainty estimation of cement paste properties to microstructural characteristics using FOSM method. Const. Build. Mater. 242, 118159 (2020)
S.-Y. Chung, T.-S. Han, S.-Y. Kim, T.-H. Lee, Investigation of the permeability of porous concrete reconstructed using probabilistic description methods. Constr. Build. Mater. 66, 760–770 (2014)
S.-Y. Chung, T.-S. Han, S.-Y. Kim, Reconstruction and evaluation of the air permeability of a cement paste specimen with a void distribution gradient using CT images and numerical methods. Constr. Build. Mater. 87, 45–53 (2015)
J. Němeček, V. Králík, V. Šmilauer, L. Polívka, A. Jäger, Tensile strength of hydrated cement paste phases assessed by micro-bending tests and nanoindentation. Cem. Concr. Compos. 73, 164–173 (2016)
G. Constantinides, F.-J. Ulm, The effect of two types of C-S-H on the elasticity of cement-based materials: results from nanoindentation and micromechanical modeling. Cem. Concr. Res. 34, 67–80 (2004)
L.L. Sorelli, G. Constantinides, F.-J. Ulm, F. Toutlemonde, The nano-mechanical signature of ultra high performance concrete by statistical nanoindentation techniques. Cem. Concr. Res. 38, 1447–1456 (2008)
V. Papadakis, E. Pedersen, H. Lindgreen, An afm-sem investigation of the effect of silica fume and fly ash on cement paste microstructure. J. Mater. Sci. 34, 683–690 (1999)
A. Peled, J. Castro, W. Weiss, Atomic force and lateral force microscopy (AFM and LFM) examinations of cement and cement hydration products. Cem. Concr. Compos. 36, 48–55 (2013)
W. Oliver, G. Pharr, An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564–1583 (1992)
I. Sneddon, The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47–57 (1965)
K. Hagita, Two-dimensional scattering patterns of polymers in elongated polymer networks and composites. Polymer 147, 247–259 (2018)
Acknowledgements
This study was supported by grants from the Korea Research Foundation (NRF-2019R1A2C2086314 and NRF-2017R1A4A1014569) and the Graduate School of YONSEI University Research Scholarship Grants in 2020.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kim, SY., Kim, JS., Lee, J.H. et al. Reconstruction of Three-Dimensional Microstructures of Two-Phase Membrane and Phase Property Estimation Through Combination of Experiment and Simulation. Multiscale Sci. Eng. 3, 109–118 (2021). https://doi.org/10.1007/s42493-021-00062-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42493-021-00062-9