Abstract: This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material. The eracktip.field is divided into two narrowing sectors and one expanding seclor. By the newstyain energy funcion and deformation pattern,we derive and solve the asymptoticequations.for each sector of the tip.field. The singularity of the crack-tip field isdiscussed. The curves of stress-strain of foe crack-tip.field.for an incompress rubber-like material are given and the dominant behaviors of stress and strain near the,cracktip are revealed.

Key words: rubber-like material, finite-deformation, crack