“…For generality one choices a nonlinear, power law, behavior of structure material, under normal stress, σ, and shear stress, τ, (1) where ε is the strain; γ is the shear strain; M σ , M τ , k and k 1 are material constants. In our recent papers [15 -17], on the basis of principle of critical energy, there have been proposed the following relations for the critical stresses of tubular specimens with cracks, (2) where the total deterioration D(a σ ; c) depends on the crack depth a≡a σ and the crack length 2c in the direction perpendicular to the direction of the normal stress σ, while deterioration D(a τ ; c) depends on the depth of the crack a≡a τ and the crack length c 2 in the direction of shear stress τ.…”