Asymptotic analysis and finite element calculation of a rubber cone under tension

The problem of a cone under tension of a concentrated load at its tip is investigated by adopting the constitutive equation of rubber-like materials given by Knowles and Sternberg (1973). The problem was treated as axial-symmetry case, and large deformation was taken into account. The asymptotic solution to the stress-strain field near the apex of the cone is obtained and solved analytically. By means of the finite element method, the stress-strain field is also calculated. The numerical results are consistent well with that of the analysis.