Numerical solution of polarization saturation/dielectric breakdown model in 2D finite piezoelectric media

Numerical method of crack analysis in 2D finite magnetoelectroelastic media

“…Figure 5 shows that the calculated normalized extended intensity factors are of high precision when k is taken from 2.2 to 2.7, where 200 source points are taken outside the domain V and 200 collocation points are taken on the boundary. The conclusion is similar to that in [26,27]. In the solution for Mindlin plates resting on an elastic foundation, Wen [30] found that the relative error is less than 3% when the parameter k ≥ 1.…”

“…The HEDD-FSM for piezoelectric media [26,27] is extended to analyze cracks in magnetoelectroelastic media. First, N 1 collocation points are selected on the boundary, and an equal number of source point N 1 are taken accordingly outside the domainV.…”

“…Different electric and magnetic boundary conditions on crack faces were easily and naturally embedded in the extended DDM [7]. Considering the high efficiency of the fundamental solution method for solving the complex region problem in the elastic media [22][23][24][25] the hybrid extended displacement discontinuity-fundamental solution method (HEDD-FSM) was proposed by Zhao et al [26] and Fan et al [27] for studying cracks in 2D finite piezoelectric media.…”

Extended displacement discontinuity method for nonlinear analysis of penny-shaped cracks in three-dimensional piezoelectric media

“…Linder analyzed the exponential electric displacement saturation model in fracturing piezoelectric ceramics [39]. Fan (NLHEDD-FS) method under both electrically impermeable and semi-permeable conditions [40]. Very recently, Fan et al extended the NLHEDD-FS method to the PS model analysis of an arbitrarily oriented crack in a finite 2D piezoelectric medium [41].…”

Effects of Electric Field and Poling on the Mode I Energy Release Rate for Two Symmetric Edge Cracks in Rectangular Piezoelectric Ceramic Strips

“…It is also expected that the dielectric breakdown under a high positive electric field affect the fracture behavior of piezoelectric ceramics (9) . Although a numerical method for the polarization saturation (10) /strip dielectric breakdown (11) model was proposed for cracked piezoelectric ceramics, the impermeable and open crack face assumptions and unrealistic loading conditions (very high applied stress and electric field/electric displacement) were used to calculate the energy release rate (12) , and meaningless results were given. The purpose of this work is to investigate the effect of electromechanical loading on the mode I energy release rate of rectangular piezoelectric ceramic strips containing two symmetric edge cracks normal to the edges of the strip.…”