Nonlinear Periodic Oscillations of Micro-Voids in a Class of Incompressible Hyper-Elastic Spheres
| Periodical | Applied Mechanics and Materials (Volumes 52 - 54) |
|---|---|
| Main Theme | Advances in Mechanical Engineering |
| Edited by | Zhou Mark |
| Pages | 220-225 |
| DOI | 10.4028/www.scientific.net/AMM.52-54.220 |
| Citation | Miao Miao Cai et al., 2011, Applied Mechanics and Materials, 52-54, 220 |
| Online since | March, 2011 |
| Authors | Miao Miao Cai, Jia Na Meng, Xue Gang Yuan, Da Tian Niu |
| Keywords | Dynamic Property, Incompressible Hyper-Elastic Material, Nonlinear Periodic Oscillation, Pre-Existing Micro-Void |
| Price | US$ 28,- |
The problem of radially symmetric motion is examined for a pre-existing micro-void in the interior of a sphere under a suddenly applied outer surface tensile load, where the sphere is composed of a homogeneous incompressible hyper-elastic material. Through qualitatively analyzing the second-order ordinary differential equation that describes the motion of the pre-existing micro-void with time, some interesting conclusions are proposed. For any given values of surface tensile loads, it is proved that the motion of the pre-existing micro-void with time presents a nonlinear periodic oscillation, however, in certain cases, the oscillation amplitude increases discontinuously with the increasing values of surface tensile loads. Finally, based on the known transversely isotropic incompressible Gent-Thomas material model as an example, numerical simulations are carried out.
