Investigation of microcracks in ferroelectric materials by application of a grain--boundary--motivated cohesive law
(2008) International Congress on Industrial Applied Mathematics and GAMM Annual Meeting, 2007 7(1). p.4070017-4070018- Abstract
- Ferroelectric materials exhibit a huge potential for engineering applications - ranging from electrical actuators (inverse piezoelectric effect) to sensor technology (direct piezoelectric effect). To give an example, lead zirconate titanate (PZT) is a typical perovskite ion crystal possessing ferroelectric properties. In this contribution, we are particularly interested in the modelling of microcracking effects in ferroelectric materials. In view of Finite-Element-based simulations, the geometry of a natural grain structure, as observed on the so-called micro-level, is represented by an appropriate mesh. While the response on the grains themselves is approximated by coupled continuum elements, grain boundaries are numerically incorporated... (More)
- Ferroelectric materials exhibit a huge potential for engineering applications - ranging from electrical actuators (inverse piezoelectric effect) to sensor technology (direct piezoelectric effect). To give an example, lead zirconate titanate (PZT) is a typical perovskite ion crystal possessing ferroelectric properties. In this contribution, we are particularly interested in the modelling of microcracking effects in ferroelectric materials. In view of Finite-Element-based simulations, the geometry of a natural grain structure, as observed on the so-called micro-level, is represented by an appropriate mesh. While the response on the grains themselves is approximated by coupled continuum elements, grain boundaries are numerically incorporated via so-called cohesive-type elements. For the sake of simplicity, switching effects in the bulk material will be neglected. The behaviour of the grain boundaries is modelled by means of cohesive-type laws. Identifying grain boundaries as potential failure zones leading to microcracking, cohesive-type elements consequently offer a great potential for numerical simulations. As an advantage, in the case of failure they do not a priori result in ill-conditioned systems of equations as compared with the application of standard continuum elements to localised deformations. Finally, representative constitutive relations for both the bulk material and the grain boundaries, enable two-dimensional studies of low-cycle-fatigue motivated benchmark boundary value problems. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1515161
- author
- Utzinger, J ; Menzel, Andreas LU and Steinmann, P
- organization
- publishing date
- 2008
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- PAMM
- volume
- 7
- issue
- 1
- pages
- 4070017 - 4070018
- publisher
- John Wiley & Sons Inc.
- conference name
- International Congress on Industrial Applied Mathematics and GAMM Annual Meeting, 2007
- conference location
- Zurich, Switzerland
- conference dates
- 2007-07-16 - 2007-07-20
- ISSN
- 1617-7061
- DOI
- 10.1002/pamm.200700480
- language
- English
- LU publication?
- yes
- id
- 8db95752-c3b1-4283-bf02-bb5911a05b51 (old id 1515161)
- date added to LUP
- 2016-04-01 14:40:26
- date last changed
- 2021-11-15 11:36:31
@inproceedings{8db95752-c3b1-4283-bf02-bb5911a05b51,
abstract = {{Ferroelectric materials exhibit a huge potential for engineering applications - ranging from electrical actuators (inverse piezoelectric effect) to sensor technology (direct piezoelectric effect). To give an example, lead zirconate titanate (PZT) is a typical perovskite ion crystal possessing ferroelectric properties. In this contribution, we are particularly interested in the modelling of microcracking effects in ferroelectric materials. In view of Finite-Element-based simulations, the geometry of a natural grain structure, as observed on the so-called micro-level, is represented by an appropriate mesh. While the response on the grains themselves is approximated by coupled continuum elements, grain boundaries are numerically incorporated via so-called cohesive-type elements. For the sake of simplicity, switching effects in the bulk material will be neglected. The behaviour of the grain boundaries is modelled by means of cohesive-type laws. Identifying grain boundaries as potential failure zones leading to microcracking, cohesive-type elements consequently offer a great potential for numerical simulations. As an advantage, in the case of failure they do not a priori result in ill-conditioned systems of equations as compared with the application of standard continuum elements to localised deformations. Finally, representative constitutive relations for both the bulk material and the grain boundaries, enable two-dimensional studies of low-cycle-fatigue motivated benchmark boundary value problems.}},
author = {{Utzinger, J and Menzel, Andreas and Steinmann, P}},
booktitle = {{PAMM}},
issn = {{1617-7061}},
language = {{eng}},
number = {{1}},
pages = {{4070017--4070018}},
publisher = {{John Wiley & Sons Inc.}},
title = {{Investigation of microcracks in ferroelectric materials by application of a grain--boundary--motivated cohesive law}},
url = {{http://dx.doi.org/10.1002/pamm.200700480}},
doi = {{10.1002/pamm.200700480}},
volume = {{7}},
year = {{2008}},
}