Some Numerical Studies with X-FEM for Cracked Piezoelectric Media

Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 24)

Abstract

Piezoelectric materials are increasingly used in actuators and sensors. New applications can be found as constituents of smart composites for adaptive electromechanical structures. Under in service loading, phenomena of crack initiation and propagation may occur due to high electromechanical field concentrations. In the past few years, the extended finite element method (X-FEM) has been gained much attention to model cracks in structural materials. This paper presents the application of X-FEM to the coupled electromechanical crack problem in two-dimensional piezoelectric structures. The convergence of solutions is investigated in the energy norm and for the stress intensity factors. Then, some studies about inaccuracies in the stresses near the crack tip are reported.

Keywords

Stress Intensity Factor Piezoelectric Material Enrichment Function Isotropic Elasticity Conventional Finite Element 
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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Aerospace and Mechanical EngineeringUniversité de LiégeLiégeBelgium
  2. 2.Institut für Mechanik und FluiddynamikTechnische Universität Bergakademie FreibergFreibergGermany

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