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Linking Internal Dissipation Mechanisms to the Effective Complex Viscoelastic Moduli of Ferroelectrics

Wojnar, Charles S. and Kochmann, Dennis M. (2017) Linking Internal Dissipation Mechanisms to the Effective Complex Viscoelastic Moduli of Ferroelectrics. Journal of Applied Mechanics, 84 (2). Art. No. 021006. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20170331-094447825

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Abstract

Microstructural mechanisms such as domain switching in ferroelectric ceramics dissipate energy, the nature, and extent of which are of significant interest for two reasons. First, dissipative internal processes lead to hysteretic behavior at the macroscale (e.g., the hysteresis of polarization versus electric field in ferroelectrics). Second, mechanisms of internal friction determine the viscoelastic behavior of the material under small-amplitude vibrations. Although experimental techniques and constitutive models exist for both phenomena, there is a strong disconnect and, in particular, no advantageous strategy to link both for improved physics-based kinetic models for multifunctional rheological materials. Here, we present a theoretical approach that relates inelastic constitutive models to frequency-dependent viscoelastic parameters by linearizing the kinetic relations for the internal variables. This enables us to gain qualitative and quantitative experimental validation of the kinetics of internal processes for both quasistatic microstructure evolution and high-frequency damping. We first present the simple example of the generalized Maxwell model and then proceed to the case of ferroelectric ceramics for which we predict the viscoelastic response during domain switching and compare to experimental data. This strategy identifies the relations between microstructural kinetics and viscoelastic properties. The approach is general in that it can be applied to other rheological materials with microstructure evolution.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1115/1.4035033DOIArticle
http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=2575749PublisherArticle
ORCID:
AuthorORCID
Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2016 ASME. Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 25, 2016; final manuscript received October 17, 2016; published online November 17, 2016. Assoc. Editor: A. Amine Benzerga. The authors thank Kaushik Bhattacharya for many fruitful and stimulating discussions.
Group:GALCIT
Issue or Number:2
Record Number:CaltechAUTHORS:20170331-094447825
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170331-094447825
Official Citation:Wojnar CS, Kochmann DM. Linking Internal Dissipation Mechanisms to the Effective Complex Viscoelastic Moduli of Ferroelectrics. ASME. J. Appl. Mech. 2016;84(2):021006-021006-14. doi:10.1115/1.4035033.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75570
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:31 Mar 2017 17:04
Last Modified:03 Oct 2019 16:51

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