The plane stress crack-tip field for an incompressible rubber material

The crack-tip field under plane stress condition for an incompressible rubber material^[1] is investigated by the use of the fully nonlinear equilibrium theory. It is found that the crack-tip field is composed of two shrink sectors and one expansion sector. At the crack-tip, stress and strain possess the singularity of R⁻¹ and R^{−1 n}, respectively, (R is the distance to the crack-tip before deformation. n is the material constant). When the crack-tip is approached, the thickness of the sheet shrinks to zero with the order of R^{1 4n}. The results obtained in this paper are consistent with that obtained in[8] when s→∞. Project supported by the National Science Foundation of China