List of symbols with explanations

s is an arc coordinate.

ν is a Poisson ratio.

εx, εy, γxy are strains.

σx, σy, τxy are stresses.

αij are elastic compliances which are included in the Hooke's law.

Φð Þ z<sup>1</sup> , Ψð Þ z<sup>2</sup> are Lekhnitskii complex potentials.

ΦS, Ψ<sup>S</sup> are the potentials which correspond to the concentrated forces.

u0 , v<sup>0</sup> are the values of the derivatives of the displacements with respect to the arc coordinate at the boundary of the plate and holes.

u�, v� are limit values of displacements in the approach to the section at the left and the right relative to the selected direction.

qΓ ! is the stress vector <sup>q</sup>Γð Þ¼ <sup>z</sup> <sup>X</sup><sup>Γ</sup> <sup>þ</sup> iY<sup>Γ</sup> at path <sup>Γ</sup>.

KI, KII are the stress intensity factors (SIFs).

Ka, Y,YS are the relative SIFs.

Р is the principal vector.

Dynamical Systems Theory
