The crack tip field in a rubber sheet

The distribution of stress, strain and displacement near the crack-tip in a rubber like sheet is investigated. The constitutive relation of the material is taken from [Gao, 1990], which is valid for finite and infinite strain. The analytical results show that when the crack tip is approached the thickness of the sheet shrinks to zero as R t (R is the distance to the crack-tip before deformation, t is a positive exponent). The crack tip field is composed of two kinds of sectors, i.e. two shrink sectors and one expansion sector. The stress and strain singularities are obtained analytically and verified numerically.