A partition of unity-based multiscale approach for modelling fracture in piezoelectric ceramics

Authors

  • Clemens V. Verhoosel,

    1. Faculty of Aerospace Engineering, Delft University of Technology, Delft, The Netherlands
    Search for more papers by this author
  • Joris J. C. Remmers,

    1. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands
    Search for more papers by this author
  • Miguel A. Gutiérrez

    Corresponding author
    1. Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Mekelweg 2, 2628 CD, Delft, The Netherlands
    • Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Mekelweg 2, 2628 CD, Delft, The Netherlands
    Search for more papers by this author

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.

Ancillary