On numerical evaluation of Eshelby tensor for superspherical and superellipsoidal inclusions in isotropic elastic material

Yanase, K.; Chatterjee, Hirak; Ghosh, Sujit Kumar

doi:10.1016/j.compositesb.2020.107964

Cited by 8 publications

(3 citation statements)

References 29 publications

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“…This formalism includes all the topological variables to calculate for the chemical potential for each nanoshapes. To measure the surface strain of the nanoinclusions as a function of shape, we have used the MATLAB code, which has, already, been published by the Yanase group, for direct measurement of Eshelby tensors for the superellipsoid in each case.…”

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confidence: 99%

“…This formalism includes all the topological variables 38 to calculate for the chemical potential for each nanoshapes. To measure the surface strain of the nanoinclusions as a function of shape, we have used the MATLAB code, which has, already, been published by the Yanase group, 39 for direct measurement of Eshelby tensors for the superellipsoid in each case. Adsorption on a surface can be represented by a rate constant in the form of the corresponding Arrhenius equation as,R ads = k a P n = Ae −E a /RT P n , where, R ads is the rate of adsorption, P the pressure of the adsorbate, k a the rate constant at temperature T, n the order of the reaction, and R the universal gas constant.…”

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confidence: 99%

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Plasmonic Sensing: Connecting the Dots

Chatterjee

Bardhan

Pal

et al. 2021

J. Phys. Chem. Lett.

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Plasmonic sensitivity of noble metals has often been attributed to the morphology of the nanostructures and dielectric effects of both the materials and the surrounding medium. The measurable plasmonic shift with respect to the change in local dielectric as a function of analyte concentrations within nanoscale volume forms the basis of plasmonic sensing. However, the situation of the surrounding medium in the presence of multicomponent systems and, moreover, inhomogeneous adsorption around the anisotropic nanostructures become seemingly complicated as the precise description of several individual components becomes nearly impossible. Therefore, we have designed a retrospective formalism through a critical condensation of the electromagnetic scattering theories, macroscopic mixing rules, and micromechanics at the metal−analyte interface that can be adopted as generalized model irrespective of morphology of the nanostructures and the nature of analytes to account for the response of all the individual (microscopic) components to the observed (macroscopic) plasmonic sensing.

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Plasmonic Sensing: Connecting the Dots

Chatterjee

Bardhan

Pal

et al. 2021

J. Phys. Chem. Lett.

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“…Theoretical efforts applying Mori-Tanaka and Eschelby equivalent inclusion theory can aid in the selection of composite filler dimensions to determine or design the mechanical properties of standard composite materials with isotropic particles. [13][14][15] However, few theoretical studies have been able to capture the variation in mechanical properties of composites that result from phase-changing particles, 16 particularly in combination with a persistent oxide shell. Further, most previous studies of this nature have considered a low packing fraction of particles, f < 0:2, whereas recent variable-stiffness composites using fusible metallic alloys 10,12,[17][18][19] often utilize higher concentrations, 0:3 ≤ f ≤ 0:5, where there are strong interactions between particles.…”

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confidence: 99%

Effects of particle size and oxide shell on variable stiffness performance of phase-changing materials

Buckner

Farrell

Nasab

et al. 2022

Journal of Composite Materials

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Phase-changing materials have recently found use as particulate fillers to engender stiffness-changing behavior in composites. In the transition from solid to liquid particles, the composite modulus can be significantly reduced, and then raised again as the particles are allowed to solidify. While the general effect of stiffness tuning in phase-changing composites has been demonstrated in a range of studies and applications, the most drastic stiffness ranges are provided by fusible metallic alloys, which are commonly subject to the formation of oxide shells on their surfaces. In this work, we examine the effect these oxide surfaces have on variable-stiffness performance, and investigate the corresponding role of particle size. In particular, we study particles of a low-melting-point metallic alloy, Field’s Metal, and we also present a facile method of manufacture that allows for control of particle size. We then manufacture a set of stiffness-changing composites using these particles and characterize mechanical performance, with the aim of controlling particle size to increase the total stiffness ratio while resisting material failure.

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