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Modelling of non-linear switching effects in piezoceramics: a three-dimensional polygonal finite-element-based approach applied to oligo-crystals

Kaliappan, Jayabal and Menzel, Andreas LU (2015) In Journal of Intelligent Material Systems and Structures 26(17). p.2322-2337
Abstract
A polygonal finite-element formulation is applied to solve electromechanically coupled inhomogeneous boundary value problems for polycrystalline materials. Each grain is discretised by one single polygonal finite element, which allows the efficient simulation of general boundary value problems which still resolves individual grains in space. The constitutive model proposed for switching in piezoceramics makes use of a volume-fraction-based framework, where the respective volume fractions refer to the respective crystallographic variants and take the interpretation as internal variables. Their evolution is combined with non-linear hardening-type functions which additionally account for grain-size dependencies. The computational model is... (More)
A polygonal finite-element formulation is applied to solve electromechanically coupled inhomogeneous boundary value problems for polycrystalline materials. Each grain is discretised by one single polygonal finite element, which allows the efficient simulation of general boundary value problems which still resolves individual grains in space. The constitutive model proposed for switching in piezoceramics makes use of a volume-fraction-based framework, where the respective volume fractions refer to the respective crystallographic variants and take the interpretation as internal variables. Their evolution is combined with non-linear hardening-type functions which additionally account for grain-size dependencies. The computational model is shown to reproduce typical hysteresis and butterfly curves on the polycrystalline level under complex electromechanical loading conditions. The results are obtained by direct volume-averaging with respect to the discretised domain and are in good qualitative agreement with experimental data. Moreover, grain-size effects, such as an increase in the coercive electric field value with decreasing grain size, are also captured. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Ferroelectrics, switching, micromechanical modelling, grain-size, effects, non-linear back fields, three-dimensional polygonal finite, elements
in
Journal of Intelligent Material Systems and Structures
volume
26
issue
17
pages
2322 - 2337
publisher
SAGE Publications Inc.
external identifiers
  • wos:000363309400005
  • scopus:84945187512
ISSN
1045-389X
DOI
10.1177/1045389X14554135
language
English
LU publication?
yes
id
10e7765d-94b5-422f-bd5e-32d6ef47bcea (old id 8195255)
date added to LUP
2015-11-26 10:41:33
date last changed
2017-08-27 04:44:27
@article{10e7765d-94b5-422f-bd5e-32d6ef47bcea,
  abstract     = {A polygonal finite-element formulation is applied to solve electromechanically coupled inhomogeneous boundary value problems for polycrystalline materials. Each grain is discretised by one single polygonal finite element, which allows the efficient simulation of general boundary value problems which still resolves individual grains in space. The constitutive model proposed for switching in piezoceramics makes use of a volume-fraction-based framework, where the respective volume fractions refer to the respective crystallographic variants and take the interpretation as internal variables. Their evolution is combined with non-linear hardening-type functions which additionally account for grain-size dependencies. The computational model is shown to reproduce typical hysteresis and butterfly curves on the polycrystalline level under complex electromechanical loading conditions. The results are obtained by direct volume-averaging with respect to the discretised domain and are in good qualitative agreement with experimental data. Moreover, grain-size effects, such as an increase in the coercive electric field value with decreasing grain size, are also captured.},
  author       = {Kaliappan, Jayabal and Menzel, Andreas},
  issn         = {1045-389X},
  keyword      = {Ferroelectrics,switching,micromechanical modelling,grain-size,effects,non-linear back fields,three-dimensional polygonal finite,elements},
  language     = {eng},
  number       = {17},
  pages        = {2322--2337},
  publisher    = {SAGE Publications Inc.},
  series       = {Journal of Intelligent Material Systems and Structures},
  title        = {Modelling of non-linear switching effects in piezoceramics: a three-dimensional polygonal finite-element-based approach applied to oligo-crystals},
  url          = {http://dx.doi.org/10.1177/1045389X14554135},
  volume       = {26},
  year         = {2015},
}