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A laminate-based modelling approach for rate-dependent switching in ferroelectric materials

Dusthakar, Dinesh K.; Menzel, Andreas LU and Svendsen, Bob (2015) In PAMM - Proceedings in Applied Mathematics and Mechanics 15. p.3-6
Abstract
This contribution focuses on the sequential laminate-based modelling approach for the numerical simulation of the complex electromechanical material behaviour of ferroelectric single crystals. The construction of engineered domain configurations by using the method of sequential lamination in order to study the domain evolution and polarisation switching in ferroelectric single crystals has recently been carried out in the works of [1–4]. By fulfilling the kinematic and polarisation compatibility conditions between the domain structures in a crystal, the proposed laminate-based formulation is governed by an energy-enthalpy function and by a dissipation potential. The mixed energy-enthalpy, written in terms of the total strains, electric... (More)
This contribution focuses on the sequential laminate-based modelling approach for the numerical simulation of the complex electromechanical material behaviour of ferroelectric single crystals. The construction of engineered domain configurations by using the method of sequential lamination in order to study the domain evolution and polarisation switching in ferroelectric single crystals has recently been carried out in the works of [1–4]. By fulfilling the kinematic and polarisation compatibility conditions between the domain structures in a crystal, the proposed laminate-based formulation is governed by an energy-enthalpy function and by a dissipation potential. The mixed energy-enthalpy, written in terms of the total strains, electric field and a set of internal variables, here the multi-rank laminate volume fractions, governs the dissipative electromechanical response of the ferroelectric crystal, whereas the rate-dependent dissipation potential formulated in terms of the flux of the internal variables describes the time-dependent evolution of the multi-rank laminate volume fractions, subjected to inequality constraints. The model reproduces experimentally observed hysteresis and butterfly curves, characteristic for single crystal ferroelectric materials, when subjected to homogeneous electromechanical loading conditions. (Less)
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Contribution to journal
publication status
published
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in
PAMM - Proceedings in Applied Mathematics and Mechanics
volume
15
pages
3 - 6
publisher
John Wiley & Sons
DOI
10.1002/pamm.201510002
language
English
LU publication?
yes
id
bd18a168-7601-4e21-b248-c5d3bff4b7b1 (old id 8521554)
date added to LUP
2016-02-08 15:39:52
date last changed
2016-04-16 08:00:17
@article{bd18a168-7601-4e21-b248-c5d3bff4b7b1,
  abstract     = {This contribution focuses on the sequential laminate-based modelling approach for the numerical simulation of the complex electromechanical material behaviour of ferroelectric single crystals. The construction of engineered domain configurations by using the method of sequential lamination in order to study the domain evolution and polarisation switching in ferroelectric single crystals has recently been carried out in the works of [1–4]. By fulfilling the kinematic and polarisation compatibility conditions between the domain structures in a crystal, the proposed laminate-based formulation is governed by an energy-enthalpy function and by a dissipation potential. The mixed energy-enthalpy, written in terms of the total strains, electric field and a set of internal variables, here the multi-rank laminate volume fractions, governs the dissipative electromechanical response of the ferroelectric crystal, whereas the rate-dependent dissipation potential formulated in terms of the flux of the internal variables describes the time-dependent evolution of the multi-rank laminate volume fractions, subjected to inequality constraints. The model reproduces experimentally observed hysteresis and butterfly curves, characteristic for single crystal ferroelectric materials, when subjected to homogeneous electromechanical loading conditions.},
  author       = {Dusthakar, Dinesh K. and Menzel, Andreas and Svendsen, Bob},
  language     = {eng},
  pages        = {3--6},
  publisher    = {John Wiley & Sons},
  series       = {PAMM - Proceedings in Applied Mathematics and Mechanics},
  title        = {A laminate-based modelling approach for rate-dependent switching in ferroelectric materials},
  url          = {http://dx.doi.org/10.1002/pamm.201510002},
  volume       = {15},
  year         = {2015},
}