Highly porous layers of silica nano-spheres sintered by drying: Scaling up of the elastic properties from the beads to the macroscopic mechanical properties
| Autor: | Cindy L. Rountree, Daniel Bonamy, Arnaud Lesaine, Georges Gauthier, Véronique Lazarus |
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| Přispěvatelé: | Fluides, automatique, systèmes thermiques (FAST), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes (SPHYNX), Service de physique de l'état condensé (SPEC - UMR3680), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Institut Rayonnement Matière de Saclay (IRAMIS), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Saclay-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF), ANR-10-LABX-0032,LaSIPS,LABORATORY FOR SYSTEMS AND ENGINEERING OF PARIS SACLAY(2010), ANR-10-LABX-0039,PALM,Physics: Atoms, Light, Matter(2010), ANR-11-IDEX-0003,IPS,Idex Paris-Saclay(2011), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D) |
| Rok vydání: | 2018 |
| Předmět: |
Materials science
drying of colloidal dispersions FOS: Physical sciences PACS numbers: 82.70 Dd 62.20.de 81.16.Dn 02 engineering and technology Physics - Classical Physics Condensed Matter - Soft Condensed Matter mechanical properties 01 natural sciences Homogenization (chemistry) [PHYS.MECA.MEMA]Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph] 0103 physical sciences Composite material 010306 general physics Porosity Anisotropy [PHYS]Physics [physics] Continuum mechanics Multi-scale homogenization approaches linear elasticity Classical Physics (physics.class-ph) Fracture mechanics General Chemistry particles sintering 021001 nanoscience & nanotechnology Condensed Matter Physics Soft Condensed Matter (cond-mat.soft) 0210 nano-technology Porous medium Contact area Rule of mixtures [PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft] highly interconnected porosity |
| Zdroj: | Soft Matter Soft Matter, Royal Society of Chemistry, 2018, 14 (19), pp.3987-3997. ⟨10.1039/c7sm02443f⟩ Soft Matter, Royal Society of Chemistry, 2018, 14 (19), pp.3987-3997. ⟨10.1039/C7SM02443F⟩ Soft Matter, 2018, 14 (19), pp.3987-3997. ⟨10.1039/C7SM02443F⟩ |
| ISSN: | 1744-683X 1744-6848 |
| DOI: | 10.48550/arxiv.1804.09421 |
| Popis: | International audience; Layers obtained by drying a colloidal dispersion of silica spheres are found to be a good benchmark to test the elastic behaviour of porous media, in the challenging case of high porosities and nano-sized microstructures. Classically used for these systems, Kendall's approach explicitly considers the effect of surface adhesive forces onto the contact area between the particles. This approach provides the Young's modulus using a single adjustable parameter (the adhesion energy) but provides no further information on the tensorial nature and possible anisotropy of elasticity. On the other hand, homogenization approaches (e.g. rule of mixtures, and Eshelby, Mori-Tanaka and self-consistent schemes), based on continuum mechanics and asymptotic analysis, provide the stiffness tensor from the knowledge of the porosity and the elastic constants of the beads. Herein, the self-consistent scheme accurately predicts both bulk and shear moduli, with no adjustable parameter, provided the porosity is less than 35%, for layers composed of particles as small as 15 nm in diameter. Conversely, Kendall's approach is found to predict the Young's modulus over the full porosity range. Moreover, the adhesion energy in Kendall's model has to be adjusted to a value of the order of the fracture energy of the particle material. This suggests that sintering during drying leads to the formation of covalent siloxane bonds between the particles. |
| Databáze: | OpenAIRE |
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