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

作者：Verhoosel Clemens V; Remmers Joris J C; Gutierrez Miguel A^*

来源：International Journal for Numerical Methods in Engineering, 2010, 82(8): 966-994.

DOI：10.1002/nme.2792

• partition of unity method
• cohesive zone models
• micro systems
• computational homogenization

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.

• 出版日期2010-5-21