Effect of the electrical boundary condition at the crack face on the mode I energy release rate in piezoelectric ceramics

Abstract

Influence of temperature on the electromechanical and fatigue behavior of piezoelectric ceramics

Dynamic fatigue behavior of cracked piezoelectric ceramics in three-point bending under AC electric fields

“…(19) is the permeable boundary conditions, and appropriate for a slit crack in piezoelectric ceramics. 13 There are four used electrical boundary conditions across the crack face: the permeable, 14 impermeable 15,16 , open 17 and discharging 18 For an electrical load, an electric potential (φ 0 /2)exp(iωt) is applied at the edge 0 ≤ x ≤ W, z = L 0 /2, so the condition is…”

Extended isogeometric dynamic and static fracture analysis for cracks in piezoelectric materials using NURBS

“…Generally, there are four commonly used electrical boundary conditions across the crack-faces involving the impermeable crack, the permeable crack, the semi-permeable crack, and the conducting crack [3]. A comprehensive description of all the commonly electrical boundary conditions in piezoelectric materials can be found, for instance, in [3,19,[70][71][72]. In this paper, we restrict our study to only consider the impermeable and permeable electrical boundary conditions.…”

Large scale domain switching around the tip of an impermeable stationary crack in ferroelectric ceramics driven by near-coercive electric field

“…Taking the singular term in Eq. (11) as , i E one obtains the boundaries by SSS; taking the full field solution in Eq. (9) as , i E one obtains the boundaries by LSS.…”

“…The contradiction between its intrinsic brittleness and reliability has continuously drawn serious concerns [1][2][3][4][5][6][7][8][9][10][11][12][13]. A major portion of these concerns focus on the polarization switching driven by the crack tip concentration field [14][15][16][17][18][19][20].…”