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A partition of unity‐based multiscale approach for modelling fracture in piezoelectric ceramics |
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| Authors: | Clemens V. Verhoosel Joris J. C. Remmers Miguel A. Gutiérrez |
| Affiliation: | 1. Faculty of Aerospace Engineering, Delft University of Technology, Delft, The Netherlands;2. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands;3. Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Mekelweg 2, 2628 CD, Delft, The Netherlands |
| Abstract: | The development of models for a priori assessment of the reliability of micro electromechanical systems is of crucial importance for the further development of such devices. In this contribution a partition of unity‐based cohesive zone finite element model is employed to mimic crack nucleation and propagation in a piezoelectric continuum. A multiscale framework to appropriately represent the influence of the microstructure on the response of a miniaturized component is proposed. It is illustrated that using the proposed multiscale method a representative volume element exists. Numerical simulations are performed to demonstrate the constitutive homogenization framework. Copyright © 2009 John Wiley & Sons, Ltd. |
| Keywords: | partition of unity method cohesive zone models micro systems computational homogenization |