Cavity Dynamic Formation and Bifurcation of the Rubber-Like Sphere |
| Journal |
Key Engineering Materials (Volumes 385 - 387) |
| Volume |
Advances in Fracture and Damage Mechanics VII |
| Edited by |
H.S. Lee, I.S. Yoon and M.H. Aliabadi |
| Pages |
53-56 |
| DOI |
10.4028/www.scientific.net/KEM.385-387.53 |
| Online since |
July, 2008 |
| Authors |
Guo Hui Wu,
Yong Wang,
Li Qiang Tang,
Yong Yang
|
| Keywords |
Bifurcation, Cavity, Dynamic Formation, Incompressibility, Sphere |
| Abstract |
Based on the strain energy function proposed by GAO Y C and the theory of finite
deformation dynamics, the question about the cavity dynamic formation and bifurcation of the
incompressible homogeneous solid sphere under a suddenly applied uniform tensile dead-load was
studied. The condition under which a dynamic bifurcated solution exists was examined. The
relationship between the dead-load and the cavity radius, the critical load, the stress distributions
after the cavity formation, the vibration phase diagram of the cavity radius and the approximate
vibration period were also determined. |
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