Large strain analysis of an incompressible rubber cone contacting with a rigid conical socket

摘要

Based on an incompressible three-dimensional model, the contact of a rubber cone with a rigid conical socket is analyzed by using the asymptotic method. Two parameters t and (t) over bar are introduced to attain the conclusion. The radial and angular distributions of stress and strain are obtained. The result shows that the stress field near the apex of the rubber cone is singular and possesses the singularity of order ln r, which differs from results in many previous studies. The elastic fields of the incompressible material model are quite different from those of the compressible material model.