Pressure and shear stress distributions of an elastomer constrained by a cylinder of finite length

We study the pressure and shear stress response of an elastomer constrained by, and adhesively bonded to, a rigid cylinder of finite length and subject to different end boundary conditions. We find that the pressure and shear distributions are very sensitive to the compressibility of the elastomer as well as the aspect ratio of the cylinder. Notably, a slight change in the Poissonʹs ratio ν has a profound effect on the pressure transmissibility of elastomers. Through this principle, we also propose using such geometries to measure the Poissonʹs ratio of elastomers, which is vital for engineers or designers who model the mechanical behavior of elastomers (e.g., rubbers or gels).