13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- Table 1. Mechanical and electrical properties of the piezoelectric plate Elastic Stiffness (GPa) Piezoelectric Coefficients (C/m2) Dielectric Properties (C2/(Jm)) C11=137 e31=e32=-5.4 є11=є22=1730є0 C12=C13=3.75 e33=15.8 є33=1700є0 C22=C33=10.9 e24=e15=12.3 є0=8.859×10-12 C23=3 C44=3.97 C55=C66=5 Distributions of stresses and electric field strength components at the [0 /90 ] o o interface in a [0 /90 ]s o o laminate and at the [90 /0 ] o o interface in a [90 /0] s o o laminate are presented for the electromechanical uncoupled and coupled cases. From Fig. 2 it is very clear that interlaminar normal stress σz shows a possible singular behavior in the vicinity of free edge and ascends to a finite value at the free edge for both cases. For the coupled electric and mechanical circumstance, there is a good agreement between present results and those of Artel and Becker [13], and Mirzababaee and Tahani [14]. In addition, the values of coupled one are approximately two times larger than those of uncoupled one in the present results. (a) [0 / 90 ]s o o (b) [90 / 0 ] s o o Figure 2. Distributions of interlaminar normal stress zσ The variations of interlaminar normal stress σz at the interfaces through thickness at the free edges are depicted in Fig. 3. It is shown that the present uncoupled results have good agreement with those of Mirzababaee and Tahani [14] and the present coupled results have decent agreement with those of Mirzababaee and Tahani [14]. However, neither of above results for uncoupled and coupled is in good agreement with those of Artel and Becker [13], especially at the interfaces between different material plies. From Fig. 3 it is seen that the values of present coupled results are also approximately two times larger than those of present uncoupled results quantitatively.
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