Premium
A partition of unity‐based multiscale approach for modelling fracture in piezoelectric ceramics
Author(s) -
Verhoosel Clemens V.,
Remmers Joris J. C.,
Gutiérrez Miguel A.
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2792
Subject(s) - homogenization (climate) , piezoelectricity , finite element method , partition of unity , representative elementary volume , a priori and a posteriori , multiscale modeling , asymptotic homogenization , nucleation , constitutive equation , computer science , mathematics , materials science , structural engineering , engineering , physics , composite material , thermodynamics , biodiversity , ecology , philosophy , chemistry , computational chemistry , epistemology , biology
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.