Utzinger, J., Steinmann, P. and Menzel, A. (2008) On the simulation of cohesive fatigue effects in grain boundaries of a piezoelectric mesostructure. International Journal of Solids and Structures, 45(17), pp. 4687-4708. (doi: 10.1016/j.ijsolstr.2008.04.017)
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Abstract
Ferroelectric materials offer a variety of new applications in the field of smart structures and intelligent systems. Accordingly, the modelling of these materials constitutes an active field of research. A critical limitation of the performance of such materials is given when electrical, mechanical, or mixed loading fatigue occurs, combined with, for instance, microcracking phenomena. In this contribution, fatigue effects in ferroelectric materials are numerically investigated by utilisation of a cohesive-type approach. In view of finite element-based simulations, the geometry of a natural grain structure, as observed on the so-called meso-level, is represented by an appropriate mesh. While the response of the grains themselves is approximated by coupled continuum elements, grain boundaries are numerically incorporated via so-called cohesive-type or interface elements. These offer a great potential for numerical simulations: as an advantage, they do not result in bad-conditioned systems of equations as compared with the application of standard continuum elements inhering a very high ratio of length and height. The grain boundary behaviour is modelled by cohesive-type constitutive laws, designed to capture fatigue phenomena. Being a first attempt, switching effects are planned to be added to the grain model in the future. Two differently motivated fatigue evolution techniques are applied, the first being appropriate for low-cycle-fatigue, and a second one adequate to simulate high-cycle-fatigue. Subsequent to a demonstration of the theoretical and numerical framework, studies of benchmark boundary value problems with fatigue-motivated boundary conditions are presented
| Item Type: | Articles |
|---|---|
| Additional Information: | The authors thank the German Research Foundation (DFG) for financial support within the DFG-Research Unit 524 Manufacturing, Characterisation and Simulation of Welded Lightweight Structures of Metal/Fibre-Reinforced Polymer Composites (DFG STE 544/21) at the University of Kaiserslautern. Partial financial support for this work has been provided by the Swedish Research Council (Vetenskapsrådet) under the grants 622-2006-578 and 621-2007-5224 which is gratefully acknowledged. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Utzinger, J., Steinmann, P., and Menzel, A. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | International Journal of Solids and Structures |
| Publisher: | Elsevier |
| ISSN: | 0020-7683 |
| Published Online: | 30 April 2008 |
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