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The application of two-parametric fracture criterion to the problem of crackslimit equilibrium in homogeneous media or at an interface of two different materials isconsidered. The necessary condition of the crack tip limit equilibrium is the equality of theenergy release rate and the rate of the energy dissipation by the bonds (the first conditionof fracture). The second condition of fracture is the condition of the bond limit stretching atthe trailing edge of the bridge zone. Based on these two fracture conditions t he regimes ofthe bridged zone and the crack tip equilibrium and growth are considered. The estimationsof the equilibrium size of the bridged zone, the adhesion fracture energy and the criticalstress (the interface strength) depend on the crack size are found.