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Keywords:

  • Crack opening displacement;
  • crack opening potential drop;
  • mechanical energy release rate;
  • semi-permeable crack;
  • Stroh formalism;
  • total energy release rate

In this paper, a mode-I crack problem is address for a piezoelectric plate cut along two-equal-collinear semi-permeable cracks. The plate being subjected to combined in-plane mechanical and electric displacement loads, respectively. Problem is formulated using Stroh formalism and solved using complex variable technique. Closed form expressions are derived for crack opening displacement, crack opening potential drop, field intensity factors, mechanical and total energy release rates. Theoretical derivations are validated by exact solutions existing in literature. Numerical examples considered for poled ceramics PZT-4, PZT-5H, and PZT-7A show the effect of applied mechanical and electrical displacement loadings on field intensity factors, mechanical and total energy release rates. Moreover, the effect of inter-crack distance as well as different types of crack-face electric boundary conditions on field intensity factors, mechanical and total energy release rates are presented graphically, discussed, and concluded.