Abstract
The article is devoted to the fatigue growing crack problems in damagedmedia and mutual effects of damage on the evolution of the stress-strain statenear the crack tip and vice versa. The new asymptotic study of fatigue crackgrowth in an isotropic linear elastic material based on the continuum damagemechanics in the coupled (elasticity damage) formulation under plane strainand plane stress conditions is proposed. 1) The new numerical solution of thetwo-point boundary value problem for non-linear ordinary differential equationsto which the fatigue crack growing problem reduces is obtained; 2) The newanalytical presentation of stress, strain and continuity fields both for plane strainand plane stress conditions is given. The results obtained differ from Zhao andZhang’s solution where the original formulation of the problem for plane stressconditions has been proposed.
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