Assessing effective medium theories for conduction through lamellar composites

Taleb, Omar; Barzycki, Daniel; Polanco, Carlos Germosen; Ricarte, Ralm G.; Hallinan, Daniel T.

doi:10.1016/j.ijheatmasstransfer.2022.122631

Cited by 5 publications

(2 citation statements)

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“…Basic considerations of EMT date back to the early days of the theory of electricity [55][56][57]. Faraday (see in [58]) proposed already in 1837 one of the earliest models for a composite metal-insulator dielectric, and Maxwell [58] around 1870 and later Garnett [59] in 1904 developed models to describe a composite or a mixed material medium [60][61][62][63]. More details can be also found in the book by Choy [56].…”

Section: Effective Medium Theory-emtmentioning

confidence: 99%

Theoretical Characterization of Thermal Conductivities for Polymers—A Review

Breitkopf

2024

Thermo

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Polymer thermal conductivities play an important role for their potential use in industrial applications. Therefore, great efforts have been made to investigate fundamental structure–property relationships to understand and predict thermal conductivities for polymers and their composites. The review summarizes selected well-proven microscopic theoretical approaches to calculate thermal conductivities such as EMD, NEMD, EMT, and BTE, and cites examples to focus on different qualitative aspects of recent polymer theoretical research. Examples other than polymer materials are given as supplemental information to support the general discussion of heat transport phenomena in solid materials.

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Section: Effective Medium Theory-emtmentioning

confidence: 99%

Theoretical Characterization of Thermal Conductivities for Polymers—A Review

Breitkopf

2024

Thermo

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“…In all these situations the continuity of the microphases within a grain and across grain boundaries can dramatically impact the resulting macroscopic properties. [ 45 ] This would be most important when the domain and grain structures are static or evolve on time scales much longer than the relevant transport time scale. Domain and grain connectivity would be least important if the structures fluctuate rapidly with respect to transport.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of High Molecular Weight Cylindrical and Lamellar Block Copolymers with X‐ray Photon Correlation Spectroscopy

Taleb,

Blatt,

Signorini

et al. 2024

Macro Chemistry & Physics

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The structure and dynamics of polystyrene‐b‐poly(ethylene oxide) (PS‐b‐PEO) block copolymers (BCPs) were studied. The BCPs exhibited microphase separated cylindrical and lamellar morphologies. Structural dynamics were measured with X‐ray photon correlation spectroscopy (XPCS) in the small‐angle regime. Morphologies and domain sizes were evaluated using small angle x‐ray scattering (SAXS), scanning electron microscopy, and atomic force microscopy. Different solvent processing conditions were investigated. Grain sizes evaluated using SAXS were found to depend on processing only for the rubbery majority BCP. The structural relaxation times were examined as a function of PS volume fraction, temperature, morphology, and structural sizes. Well above the glass transition temperature (Tg) of PS, all samples exhibited stretched autocorrelation decays and diffusive dynamics. Near Tg of PS the dynamics of all samples was anomalous with compressed autocorrelation decays and hyperdiffusive dynamics. This transition occurred at 153°C or 1.13Tg of PS. In the diffusive regime (at high temperature), structural relaxation times were dependent on the processing method. Near PS Tg (at low temperature), structural relaxation times scaled with the PS volume fraction. Structural relaxation times do not correlate with grain size, indicating that the out‐of‐equilibrium state of PS dominates structural dynamics of these strongly phase segregated BCPs.This article is protected by copyright. All rights reserved

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