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

Abstract

Summary. 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.

Torsion problem for an elastic twice-truncated cone

“…In [6], problems were solved on the stress-strain state of an elastic cone of variable thickness in a three-dimensional formulation using both analytical methods and numerical approaches. In [7] an axisymmetric problem of tensile of a cone under the action of concentrated load is considered in view of large deformations. The exact solution of the torsion problem of an elastic conically-layered cone is obtained in [8].…”