Using the constitutive equation of a rubber-like materials given by Gao (19
97), this paper investigates the problem of a cone under tension of a conce
ntrated force at its apex. Under consideration is the axial-symmetry case a
nd the large strain is taken into account. The stress strain fields near th
e apex are obtained by both asymptotic analysis and finite element calculat
ion. The two results are consistent well. When the cone angle is 180 degree
s, the solution becomes that of non-linear Boussinesq's problem for tension
case.