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Impact induced depolarization of ferroelectric materials

Agrawal, Vinamra and Bhattacharya, Kaushik (2018) Impact induced depolarization of ferroelectric materials. Journal of the Mechanics and Physics of Solids, 115 . pp. 142-166. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20180327-082448880

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Abstract

We study the large deformation dynamic behavior and the associated nonlinear electro-thermo-mechanical coupling exhibited by ferroelectric materials in adiabatic environments. This is motivated by a ferroelectric generator which involves pulsed power generation by loading the ferroelectric material with a shock, either by impact or a blast. Upon impact, a shock wave travels through the material inducing a ferroelectric to nonpolar phase transition giving rise to a large voltage difference in an open circuit situation or a large current in a closed circuit situation. In the first part of this paper, we provide a general continuum mechanical treatment of the situation assuming a sharp phase boundary that is possibly charged. We derive the governing laws, as well as the driving force acting on the phase boundary. In the second part, we use the derived equations and a particular constitutive relation that describes the ferroelectric to nonpolar phase transition to study a uniaxial plate impact problem. We develop a numerical method where the phase boundary is tracked but other discontinuities are captured using a finite volume method. We compare our results with experimental observations to find good agreement. Specifically, our model reproduces the observed exponential rise of charge as well as the resistance dependent Hugoniot. We conclude with a parameter study that provides detailed insight into various aspects of the problem.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.jmps.2018.03.011DOIArticle
https://www.sciencedirect.com/science/article/pii/S0022509617306361PublisherArticle
ORCID:
AuthorORCID
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2018 Elsevier Ltd. Received 19 July 2017, Revised 13 March 2018, Accepted 13 March 2018, Available online 17 March 2018. We are grateful to Chris Lynch for numerous discussions and many insightful comments during the course of this work. This work was made possible by the financial support of the US Air Force Office of Scientific Research through the Center of Excellence in High Rate Deformation Physics of Heterogeneous Materials (Grant : FA 9550-12-1-0091).
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0091
Record Number:CaltechAUTHORS:20180327-082448880
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180327-082448880
Official Citation:Vinamra Agrawal, Kaushik Bhattacharya, Impact induced depolarization of ferroelectric materials, Journal of the Mechanics and Physics of Solids, Volume 115, 2018, Pages 142-166, ISSN 0022-5096, https://doi.org/10.1016/j.jmps.2018.03.011. (http://www.sciencedirect.com/science/article/pii/S0022509617306361)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85443
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Mar 2018 18:32
Last Modified:27 Mar 2018 18:32

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