“…3; Appendix A), the mean and standard deviation of the elastic properties of the interphase were estimated ( Table 5). As the radii of the nanoparticles increased, the moduli of the effective interphase decreased, in accord with previous studies [28]. As the particulate radius increased, the nanoparticle surface flattened.…”
Section: Uncertainties Of Interphase Elastic Propertiessupporting
confidence: 91%
“…Therefore, in this study, the relative interphase thickness (t int /r p ) was used to reflect the proportionality constant that defines the dependency of the interphase thickness on the filler size (0.840). In fact, the interphase thickness converged at 1 nm, as discussed previously [28]. The relative thickness was constant when the filler radius was below 1 nm.…”
Section: Brief Review Of Previous Multiscale Bridging Methodologiessupporting
confidence: 73%
“…where C r is the stiffness tensor of the rth phase, and eigenstrain of rth phase ε * r could be represented by ε To characterize the effective interphase thickness, we have previously proposed an approach based on the second moment strain energy [28]. The interphase thickness and its elastic properties are determined by the particle size-dependent stiffness of the nanocomposites and by matching the deformation energy to a full atomic model.…”
Section: Brief Review Of Previous Multiscale Bridging Methodologiesmentioning
confidence: 99%
“…However, in this particular problem, the mean and standard deviation of the equivalent micromechanics solutions are noisy because of the limited number of trials (10 5 ), which are nonetheless sufficient for the Monte Carlo simulation. Therefore, the micromechanics Table 3 Determination of interphase thickness from the result of a previous study [28] where r p and t int denote the nanoparticulate radius of SiC and the corresponding interphase thickness, respectively. (3 3 ) nanoparticles with stochastic variations in properties such as filler radius and location.…”
Section: Numerical Algorithm For Statistical Multiscale Bridgingmentioning
confidence: 99%
“…However, these tendencies are not expected for larger unit cells. As the filler radius increases, the surface of the nanoparticle becomes flatter, and the absolute interphase thickness converges to approximately 1 nm [28]. Therefore, these tendencies are expected to change as the particulate radius increases.…”
Section: Mean and Standard Deviation Of Nanocomposite Elastic Propertiesmentioning
“…3; Appendix A), the mean and standard deviation of the elastic properties of the interphase were estimated ( Table 5). As the radii of the nanoparticles increased, the moduli of the effective interphase decreased, in accord with previous studies [28]. As the particulate radius increased, the nanoparticle surface flattened.…”
Section: Uncertainties Of Interphase Elastic Propertiessupporting
confidence: 91%
“…Therefore, in this study, the relative interphase thickness (t int /r p ) was used to reflect the proportionality constant that defines the dependency of the interphase thickness on the filler size (0.840). In fact, the interphase thickness converged at 1 nm, as discussed previously [28]. The relative thickness was constant when the filler radius was below 1 nm.…”
Section: Brief Review Of Previous Multiscale Bridging Methodologiessupporting
confidence: 73%
“…where C r is the stiffness tensor of the rth phase, and eigenstrain of rth phase ε * r could be represented by ε To characterize the effective interphase thickness, we have previously proposed an approach based on the second moment strain energy [28]. The interphase thickness and its elastic properties are determined by the particle size-dependent stiffness of the nanocomposites and by matching the deformation energy to a full atomic model.…”
Section: Brief Review Of Previous Multiscale Bridging Methodologiesmentioning
confidence: 99%
“…However, in this particular problem, the mean and standard deviation of the equivalent micromechanics solutions are noisy because of the limited number of trials (10 5 ), which are nonetheless sufficient for the Monte Carlo simulation. Therefore, the micromechanics Table 3 Determination of interphase thickness from the result of a previous study [28] where r p and t int denote the nanoparticulate radius of SiC and the corresponding interphase thickness, respectively. (3 3 ) nanoparticles with stochastic variations in properties such as filler radius and location.…”
Section: Numerical Algorithm For Statistical Multiscale Bridgingmentioning
confidence: 99%
“…However, these tendencies are not expected for larger unit cells. As the filler radius increases, the surface of the nanoparticle becomes flatter, and the absolute interphase thickness converges to approximately 1 nm [28]. Therefore, these tendencies are expected to change as the particulate radius increases.…”
Section: Mean and Standard Deviation Of Nanocomposite Elastic Propertiesmentioning
Microporous polypropylene (PP) nanocomposite membranes are in great demand in various fields such as energy harvesting, water purification, and other industrial applications. Thin films of PP/natural rubber (NR) blend nanocomposite have been prepared by melt mixing and the membranes are made porous by extracting the NR phase from the blend. The present study gives a better insight into the nanoparticle shape and localization‐tailored porous morphology of PP membrane. Thermodynamic prediction of nanofiller localization and its impact on morphology were studied. 2D clay platelets in PP matrix tune the morphology of the porous membrane into lamellar, whereas spherical nanofillers give elongated spherical pores. The localization of nanoparticles was observed using transmission electron microscope, which is also confirmed from theoretical prediction of localization of nanofillers with the help of interfacial energy and surface tension. Thermal studies reveal that nanofillers enhance the thermal stability of polymers. Mechanical studies reveal that nanoparticles improve the mechanical properties of the system. 2D platelet shaped‐nanofillers enhance the mechanical strength of the polymer up to 39%, which is higher than that obtained for 3D spherical nanofillers. Nanofiller shape and localization have a great influence in deciding the properties and porosity of the membrane.
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