When deformed beyond their elastic limits, crystalline solids flow plastically via particle rearrangements localized around structural defects. Disordered solids also flow, but without obvious structural defects. We link structure to plasticity in disordered solids via a microscopic structural quantity, “softness,” designed by machine learning to be maximally predictive of rearrangements. Experimental results and computations enabled us to measure the spatial correlations and strain response of softness, as well as two measures of plasticity: the size of rearrangements and the yield strain. All four quantities maintained remarkable commonality in their values for disordered packings of objects ranging from atoms to grains, spanning seven orders of magnitude in diameter and 13 orders of magnitude in elastic modulus. These commonalities link the spatial correlations and strain response of softness to rearrangement size and yield strain, respectively.
Polymer nanocomposite films (PNCFs) with extremely high concentrations of nanoparticles are important components in energy storage and conversion devices and also find use as protective coatings in various applications. PNCFs with high loadings of nanoparticles, however, are difficult to prepare because of the poor processability of polymer-nanoparticle mixtures with high concentrations of nanoparticles even at an elevated temperature. This problem is exacerbated when anisotropic nanoparticles are the desired filler materials. Here we report a straightforward method for generating PNCFs with extremely high loadings of nanoparticles. Our method is based on what we call capillary rise infiltration (CaRI) of polymer into a dense packing of nanoparticles. CaRI consists of two simple steps: (1) the preparation of a two-layer film, consisting of a porous layer of nanoparticles and a layer of polymer and (2) annealing of the bilayer structure above the temperature that imparts mobility to the polymer (e.g., glass transition of the polymer). The second step leads to polymer infiltration into the interstices of the nanoparticle layer, reminiscent of the capillary rise of simple fluid into a narrow capillary or a packing of granules. We use in situ spectroscopic ellipsometry and a three-layer Cauchy model to follow the capillary rise of polystyrene into the random network of nanoparticles. The infiltration of polystyrene into a densely packed TiO2 nanoparticle layer is shown to follow the classical Lucas-Washburn type of behaviour. We also demonstrate that PNCFs with densely packed anisotropic TiO2 nanoparticles can be readily generated by spin coating anisotropic TiO2 nanoparticles atop a polystyrene film and subsequently thermally annealing the bilayer film. We show that CaRI leads to PNCFs with modulus, hardness and scratch resistance that are far superior to the properties of films of the component materials. In addition, CaRI fills in cracks that may exist in the nanoparticle layer, leading to the healing of nanoparticle films and the formation of defect-free PNCFs. We believe this approach is widely applicable for the preparation of PNCFs with extremely high loading of nanoparticles and potentially provides a unique approach to study capillarity-induced transport of polymers under extreme confinement.
Atomic force microscopy-based nanoindentation is used to image and probe the local mechanical properties of thin disordered nanoparticle packings. The probed region is limited to the size of a few particles, and an individual particle can be loaded and displaced to a fraction of a single particle radius. The results demonstrate heterogeneous mechanical response that is location-dependent. The weak locations may be analogous to the "soft spots" previously predicted in glasses and other disordered packings.
Interfacial tension reduction, dynamic dilatational elasticity and extent of adsorption were investigated for linear poly(ethylene oxide) (PEO) chains of varying molecular weight and for PEO star polymers with an average of 64 arms per star at air/water, xylene/water, and cyclohexane/water interfaces. Adsorption on planar interfaces was monitored by ellipsometry, while interfacial tension and dilatational elasticity were measured separately by pendant drop tensiometry. Previously reported to be efficient emulsifiers, PEO stars are shown here to also be more effective foaming agents than linear PEO. Accordingly, PEO stars adsorb to a greater extent and produce larger interfacial tension reduction and greater dynamic dilatational moduli than linear PEO. The more extensive adsorption and greater interfacial tension reduction for PEO stars are attributed to their compactness. More mass is introduced per unit area of interface, and more interfacial penetration is achieved, upon their adsorption than for adsorption of linear polymers that adopt the conformation of loops, trains and tails. Whereas cyclohexane is a non-solvent for PEO, xylene is a good solvent. Dispersing PEO stars in the xylene phase yields greater interfacial tension reduction at the xylene/water interface than occurs when initially dispersing PEO stars in the aqueous phase. In contrast, the interfacial tension for linear PEO shows no dependence on the phase from which it adsorbs. Ellipsometry confirms the path-dependent extent of adsorption to the xylene/water interface, but also reveals additional complexity. When adsorbing from xylene, thick interfacial films result that likely contain dispersed water, as suggested by the observation of spontaneous water-in-xylene emulsification when PEO stars are initially dispersed in xylene. This is tentatively attributed to shear provided by Marangoni flow. Spontaneous emulsification occurs only when PEO stars are initially dispersed in the xylene phase. Linear PEO produces neither thick interfacial films nor spontaneous emulsification.
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