A nonlinear mathematical model for large deflection of incompressible saturated poroelastic plates with in-plane diffusion
In this paper, a nonlinear mathematical model for large defection analysis of microscopic incompressible saturated poroelastic plates with in-plane diffusion was established. First, based on the theory of porous media (mixture theory with concept of volume fraction), the dynamical coupled equations for nonlinear deformations of the fluid-solid mixture were presented in the Lagrangian reference system. Secondly, with the Kirchhoff hypothesis and neglecting the in-plane inertia effect, a system of nonlinear governing equations for the large defections of incompressible saturated poroelastic plates with in-plane diffusion was derived Finally, a cylindrical nonlinear bending problem of a rectangular poroelastic plate was investigated and discussed.
Lu-wu He Xiao Yang
School of Mechanical and Power Engineering, East China University of Science and Technology,Shanghai Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University
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
167-172
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）