Abstract: In the case of quasi-brittle fracture, at the crack tip there is a small plastic region whose affection cannot be neglected.Therefore the Imar elaslic asympotone fields must be corrected.In 1965 F.A.MoClintock and G.R.Irwin presented a correction which since then has been adopted extensively.Here in this paper, u must be pomted out that such correction is wrong.A correct result is given.

Key words: homotopy analysis method, micropolar fluid, expanding or contracting wall, porous channel, different permeability