Analytic solutions of finite deformations of a class of incompressible hyper-elastic spherical structures
In this paper, the static problems on radially symmetric deformations of some spherical structures, such as a solid sphere, a sphere with an initial micro-void, a spherical shell and a spherical membrane, composed of a class of transversely isotropic incompressible hyper-elastic materials about the radial direction are examined. By using the minimal potential energy principle and the incompressibility condition, the solutions that describe the radial deformations of the spherical structures with the surface tensile loads are obtained. The effects of material and structure parameters on radial deformations of the structures are discussed in detail with numerical examples.
Jia-na Meng You Zhang Zheng-you Zhu
School of Science, Dalian Nationalities University, Dalian 116600, Liaoning Province, China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
216-220
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）