Numerical simulation of crack growth in piezoelectric structures by BEM

The influence of electric loading on crack paths in ferroelectrics

“…In [37] finite element (FE) simulations with linear piezoelectric constitutive behavior and adaptive remeshing provide crack paths for different notch positions. The boundary element method and also a linear constitutive model in [38] yield similar results, providing just a rough accordance with the experimental crack paths from [11]. In both works the anisotropy of fracture toughness is taken into account in a simplified manner, assuming a homogeneous polarization in the fracture process zone.…”

“…( 8), and are the basis of the hoop stress criterion Eq. ( 9), where σ θθ (K i ) is taken from the piezoelectric crack tip near field [25,38]. The modified J m k -criterion of Eq.…”

“…The associated influence on the curvature of cracks and even qualitative features of crack paths was shown to be crucial in [47,48], where smaller anisotropy ratios of rolled aluminum alloy and larger ratios in short fibre reinforced polymer matrix composites were investigated. Though in [37] and [38] anisotropy of crack resistance has been considered in principle, local polarization reorientation has been neglected, assuming a constant polarization and axis of anisotropy, respectively, in the whole specimen. Especially for the negative electric field, however, Fig.…”

“…Just as in [37,38,39,40] A fully nonlinear simulation is required if the whole process of crack growth, including the observed pre-fracture line, see Fig. 6, is to be investigated numerically.…”

Two‐dimensional Green's function solution for a tangential line force buried in the three‐phase orthotropic piezoelectric structure

“…By controlling the drop height of the wedge from the water surface, Panciroli and Porfiri investigated the hydroelastic impact of an active flexible wedge and found that piezohydroelastic response of the structure is mainly influenced by the corresponding impact velocity. Lei, Yun and Bui developed a dual boundary element computer program to investigate the crack propagating in piezoelectric plates and studied how the crack growth paths are influenced by the loading conditions, the anisotropic fracture toughness and the interaction between the cracks. Mohamed, Ghosh and Araque, et al., examined quantitatively the electromagnetic‐acoustic interaction caused by the piezoelectricity with electromagnetic and coupled acoustic modes in piezoelectric structures.…”