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Röding M, Wåhlstrand Skärström V, Lorén N. Inverse design of anisotropic spinodoid materials with prescribed diffusivity. Sci Rep 2022; 12:17413. [PMID: 36258008 PMCID: PMC9579168 DOI: 10.1038/s41598-022-21451-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/22/2022] [Accepted: 09/27/2022] [Indexed: 01/12/2023] Open
Abstract
The three-dimensional microstructure of functional materials determines its effective properties, like the mass transport properties of a porous material. Hence, it is desirable to be able to tune the properties by tuning the microstructure accordingly. In this work, we study a class of spinodoid i.e. spinodal decomposition-like structures with tunable anisotropy, based on Gaussian random fields. These are realistic yet computationally efficient models for bicontinuous porous materials. We use a convolutional neural network for predicting effective diffusivity in all three directions. We demonstrate that by incorporating the predictions of the neural network in an approximate Bayesian computation framework for inverse problems, we can in a computationally efficient manner design microstructures with prescribed diffusivity in all three directions.
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Affiliation(s)
- Magnus Röding
- grid.450998.90000 0001 1456 5596RISE Research Institutes of Sweden, Bioeconomy and Health, Agriculture and Food, Göteborg, 41276 Sweden ,grid.5371.00000 0001 0775 6028Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Göteborg, 41296 Sweden
| | - Victor Wåhlstrand Skärström
- grid.8761.80000 0000 9919 9582Department of Literature, History of Ideas, and Religion, University of Gothenburg, Göteborg, 40530 Sweden
| | - Niklas Lorén
- grid.450998.90000 0001 1456 5596RISE Research Institutes of Sweden, Bioeconomy and Health, Agriculture and Food, Göteborg, 41276 Sweden ,grid.5371.00000 0001 0775 6028Department of Physics, Chalmers University of Technology, Göteborg, 41296 Sweden
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Fager C, Gebäck T, Hjärtstam J, Röding M, Olsson A, Lorén N, von Corswant C, Särkkä A, Olsson E. Correlating 3D porous structure in polymer films with mass transport properties using FIB-SEM tomography. CHEMICAL ENGINEERING SCIENCE: X 2021. [DOI: 10.1016/j.cesx.2021.100109] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022] Open
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Ley A, Altschuh P, Thom V, Selzer M, Nestler B, Vana P. Characterization of a macro porous polymer membrane at micron-scale by Confocal-Laser-Scanning Microscopy and 3D image analysis. J Memb Sci 2018. [DOI: 10.1016/j.memsci.2018.07.062] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Hamngren Blomqvist C, Gebäck T, Altskär A, Hermansson AM, Gustafsson S, Lorén N, Olsson E. Interconnectivity imaged in three dimensions: Nano-particulate silica-hydrogel structure revealed using electron tomography. Micron 2017; 100:91-105. [PMID: 28558343 DOI: 10.1016/j.micron.2017.04.012] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2017] [Revised: 04/27/2017] [Accepted: 04/27/2017] [Indexed: 11/29/2022]
Abstract
We have used Electron Tomography (ET) to reveal the detailed three-dimensional structure of particulate hydrogels, a material category common in e.g. controlled release, food science, battery and biomedical applications. A full understanding of the transport properties of these gels requires knowledge about the pore structure and in particular the interconnectivity in three dimensions, since the transport takes the path of lowest resistance. The image series for ET were recorded using High-Angle Annular Dark Field Scanning Transmission Electron Microscopy (HAADF-STEM). We have studied three different particulate silica hydrogels based on primary particles with sizes ranging from 3.6nm to 22nm and with pore-size averages from 18nm to 310nm. Here, we highlight the nanostructure of the particle network and the interpenetrating pore network in two and three dimensions. The interconnectivity and distribution of width of the porous channels were obtained from the three-dimensional tomography studies while they cannot unambiguously be obtained from the two-dimensional data. Using ET, we compared the interconnectivity and accessible pore volume fraction as a function of pore size, based on direct images on the nanoscale of three different hydrogels. From this comparison, it was clear that the finest of the gels differentiated from the other two. Despite the almost identical flow properties of the two finer gels, they showed large differences concerning the accessible pore volume fraction for probes corresponding to their (two-dimensional) mean pore size. Using 2D pore size data, the finest gel provided an accessible pore volume fraction of over 90%, but for the other two gels the equivalent was only 10-20%. However, all the gels provided an accessible pore volume fraction of 30-40% when taking the third dimension into account.
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Affiliation(s)
- C Hamngren Blomqvist
- Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden; SuMo Biomaterials, VINN Excellence Centre, Chalmers University of Technology, S-412 96 Göteborg, Sweden
| | - T Gebäck
- SuMo Biomaterials, VINN Excellence Centre, Chalmers University of Technology, S-412 96 Göteborg, Sweden; Mathematical Sciences, Chalmers University of Technology, S-412 96 Göteborg, Sweden
| | - A Altskär
- SuMo Biomaterials, VINN Excellence Centre, Chalmers University of Technology, S-412 96 Göteborg, Sweden; Product Design and Perception, RISE Agrifood and Bioscience, Frans Perssons väg 6, S-402 29 Göteborg, Sweden
| | - A-M Hermansson
- SuMo Biomaterials, VINN Excellence Centre, Chalmers University of Technology, S-412 96 Göteborg, Sweden; Chemical and Biological Engineering, Chalmers University of Technology, S-412 96 Göteborg, Sweden
| | - S Gustafsson
- Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden
| | - N Lorén
- Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden; SuMo Biomaterials, VINN Excellence Centre, Chalmers University of Technology, S-412 96 Göteborg, Sweden; Product Design and Perception, RISE Agrifood and Bioscience, Frans Perssons väg 6, S-402 29 Göteborg, Sweden
| | - E Olsson
- Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden; SuMo Biomaterials, VINN Excellence Centre, Chalmers University of Technology, S-412 96 Göteborg, Sweden.
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