Time-dependent dielectric response of polymer nanoparticulate composites containing rapidly oscillating source terms

Guo, Jinlong

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https://hdl.handle.net/2142/104771 Copy

Description

Title

Time-dependent dielectric response of polymer nanoparticulate composites containing rapidly oscillating source terms

Author(s)

Guo, Jinlong

Issue Date

2019-04-02

Director of Research (if dissertation) or Advisor (if thesis)

Lopez-Pamies, Oscar

Department of Study

Civil & Environmental Eng

Discipline

Civil Engineering

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Date of Ingest

2019-08-23T19:51:39Z

Keyword(s)

• Multiscale asymptotic expansons
• Dielectric elastomers
• Electroactive metamaterials

Abstract

This thesis presents the derivation of the homogenized equations for the macroscopic response of time-dependent dielectric composites that contain space charges varying spatially at the length scale of the microstructure and that are subjected to alternating electric fields. The focus is on dielectrics with periodic microstructures and two fairly general classes of space charges: passive (or fixed) and active (or locally mobile). With help of a standard change of variables, in spite of the presence of space charges, the derivation amounts to transcribing a previous two-scale-expansion result introduced in Lefevre and Lopez-Pamies (2017a) for perfect dielectrics to the realm of complex frequency-dependent dielectrics. With the objectives of illustrating their use and of showcasing their ability to describe and explain the macroscopic response of emerging materials featuring extreme dielectric behaviors, the derived homogenization results are deployed to examine dielectric spectroscopy experiments on various polymer nanoparticulate composites. It is found that so long as space charges are accounted for, the proposed theoretical results are able to describe and explain all the experimental results. By the same token, more generally, these representative comparisons with experiments point to the manipulation of space charges at small length scales as a promising strategy for the design of materials with exceptional macroscopic properties.

Graduation Semester

2019-05

Type of Resource

text

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http://hdl.handle.net/2142/104771

Copyright and License Information

Copyright 2019 Jinlong Guo

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