Citation: | Jin Ming, Huang Kefu, Wu Jike. A Study of the Catastrophe and the Cavitation for a Spherical Cavity in Hooke’s Material with 1/2 Poisson’s Ratio[J]. Applied Mathematics and Mechanics, 1999, 20(8): 867-874. |
[1] |
Gent A N,Lindley P B.I nternal rupture of bonded rubber cylinders in tension[J].Proc R Soc Lond,1959,A249(1257):195~205.
|
[2] |
Ball J M.Discontinuous equilibrium solutions and cavitation in nonlinear elasticity[J].Phil Trans R Soc Lond,1982,A306:557~611.
|
[3] |
Horgan C O,Abeyaratne R.A bifurcation problem for a compressible nonlinearly elastic medium:growth of micro-void[J].J Elasticity,1986,16:189~200.
|
[4] |
Carroll M M.Finite strain solutions in compressible isotropic elasticity[J].J Elasticity,1988,20:65~92.
|
[5] |
Hao Tian-Hu.A theory of the appearance and growth of the micro-void[J].Int J Fractur e,1990,43:R51~R55.
|
[6] |
Horgan C O.Void nucleation and growth for compressible nonlinearly elastic materials:an example[J].Int J Solids Str u ctur es,1992,29(3):279~291.
|
[7] |
尚新春,程昌钧.超弹性材料中的球形空穴分叉[J].力学学报,1996,28(6):751~755.
|
[8] |
Chou Wang M-S.Void nucleation and growth for a class of incompressible nonlinearly elastic materials[J].Int J Solids Structures,1989,25(11):1239~1254.
|
[9] |
Horgan C O,Pence T J.Cavity formation at the center of a composite incompressible nonlinearly elastic sphere[J].Tran sactions of the ASM E Journal of Applied Mechanics,1989,56:302~308.
|
[10] |
Polignone D A,Horgan C O.Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres[J].Int J Solids Structures,1993,30(24):3381~3416.
|
[11] |
Hou Hang-sheng.A study of combined asymmetric and cavitated bifurcations in neo-Hookean material under symmetric deadloading[J].Journal of Applied Mechanics,1993,60(2):1~7.
|
[12] |
Ertan N.Influence of compressibility and hardening on cavitation[J].J Engng Mech,1988,114:1231~1244.
|
[13] |
金明.内压下弹性薄膜球的稳定性[J].力学与实践,1997,19(3):32~33.
|
[14] |
武际可,苏先樾.弹性系统的稳定性[M].北京:科学出版社,1994.
|