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An effective constitutive model for polycrystalline ferroelectric ceramics: Theoretical framework and numerical examples

Tan, Wei Lin and Kochmann, Dennis M. (2017) An effective constitutive model for polycrystalline ferroelectric ceramics: Theoretical framework and numerical examples. Computational Materials Science, 136 . pp. 223-237. ISSN 0927-0256. http://resolver.caltech.edu/CaltechAUTHORS:20170531-103933351

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Abstract

We present an efficient, physics-based constitutive model for bulk polycrystalline ferroelectric ceramics, which links domain switching mechanisms and phase transitions at the microscale to the observed electro-thermo-mechanically coupled material response at the macroscale. In particular, a convexified energy density is formulated based on domain volume fractions and extended to polycrystals via the common Taylor assumption of uniform strains (alternative descriptions are discussed as well). The chosen kinetic relations admit to account for differences in 90°- and 180°-domain wall motion and rate effects. The model is applied to tetragonal barium titanate (BaTiO_3) and we present results for both material point calculations and finite element simulations, which demonstrate good qualitative agreement with experiments. We deliberately target bulk polycrystalline ferroelectrics in contrast to thin films that have been studied extensively.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.commatsci.2017.04.032DOIArticle
http://www.sciencedirect.com/science/article/pii/S0927025617302240PublisherArticle
ORCID:
AuthorORCID
Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2017 Elsevier B.V. Received 16 February 2017, Revised 26 April 2017, Accepted 27 April 2017, Available online 29 May 2017.
Subject Keywords:Ferroelectricity; Electro-mechanical coupling; Polycrystal; Constitutive model
Record Number:CaltechAUTHORS:20170531-103933351
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170531-103933351
Official Citation:Wei Lin Tan, Dennis M. Kochmann, An effective constitutive model for polycrystalline ferroelectric ceramics: Theoretical framework and numerical examples, Computational Materials Science, Volume 136, August 2017, Pages 223-237, ISSN 0927-0256, https://doi.org/10.1016/j.commatsci.2017.04.032. (http://www.sciencedirect.com/science/article/pii/S0927025617302240)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77851
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 May 2017 18:11
Last Modified:31 May 2017 18:11

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