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

C.V. Verhoosel; J.J.C. Remmers; M.A. Gutierrez

doi:10.1002/nme.2792

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

C.V. Verhoosel, J.J.C. Remmers, M.A. Gutierrez

Research output: Contribution to journal › Article › Academic › peer-review

27 Citations (Scopus)

Abstract

The development of models for a priori assessment of the reliability of micro electromechanical systems(MEMS) is of crucial importance for the further development of such devices. In this contribution apartition of unity-based cohesive zone finite element model is employed to mimic crack nucleationand propagation in a piezoelectric continuum. A multiscale framework to appropriately representthe influence of the microstructure on the response of a miniaturised component is proposed. Itis illustrated that using the proposed multiscale method a representative volume element exists.Numerical simulations are performed to demonstrate the constitutive homogenisation framework

Original language	English
Pages (from-to)	966-994
Journal	International Journal for Numerical Methods in Engineering
Volume	82
Issue number	8
DOIs	https://doi.org/10.1002/nme.2792
Publication status	Published - 2010

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AB - The development of models for a priori assessment of the reliability of micro electromechanical systems(MEMS) is of crucial importance for the further development of such devices. In this contribution apartition of unity-based cohesive zone finite element model is employed to mimic crack nucleationand propagation in a piezoelectric continuum. A multiscale framework to appropriately representthe influence of the microstructure on the response of a miniaturised component is proposed. Itis illustrated that using the proposed multiscale method a representative volume element exists.Numerical simulations are performed to demonstrate the constitutive homogenisation framework

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