d |
inner crack tip |
c |
outer crack tip |
eiks |
piezoelectric constants |
f |
analytic function |
hiks |
piezomagnetic constants |
k1 |
elliptic modulus |
mE |
coordinate transfer matrix of electric poling |
mH |
coordinate transfer matrix of magnetic poling |
u |
generalized displacement vector |
ui (i = 1,2,3) |
mechanical displacement |
xi (i = 1,2,3) |
material coordinate system |
z |
complex variable |
Cijks |
elastic constants |
E(k1) |
complete elliptic integral of second kind |
F(k1) |
complete elliptic integral of first kind |
MB |
material constants transform matrix of the inclusion |
MC |
material constants transform matrix of the matrix |
Vf |
volume fraction of the inclusion |
αis |
dielectric permittivities |
βis |
electromagnetic constants |
γis |
magnetic permeabilities |
u4 = ϕ |
electric potential |
u5 = φ |
magnetic potential |
χ |
Jacobi amplitude |