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Bending of simply supported incompressible saturated poroelastic beams with axial diffusion

Bending of simply supported incompressible saturated poroelastic beams with axial diffusion
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摘要 Based on the mathematical model of the bending of the incompressible saturated poroelastic beam with axial diffusion, the qUasi-static bendings of the simply supported poroelastic beam subjected to a suddenly applied constant load were investigated, and the analytical solutions were obtained for different diffusion conditions of the pore fluid at the beam ends. The deflections, the bending moments of the solid skeleton and the equivalent couples of the pore pressures were presented in figures. It is also shown that the behavior of the saturated poroelastic beams depends closely on the diffusion conditions at the beam ends, especially for the equivalent couples of the pore pressures. It is found that the Mandel-Cryer effect also exists in the bending of the saturated poroelastic beams under specific diffusion conditions at the beam ends. Based on the mathematical model of the bending of the incompressible saturated poroelastic beam with axial diffusion, the qUasi-static bendings of the simply supported poroelastic beam subjected to a suddenly applied constant load were investigated, and the analytical solutions were obtained for different diffusion conditions of the pore fluid at the beam ends. The deflections, the bending moments of the solid skeleton and the equivalent couples of the pore pressures were presented in figures. It is also shown that the behavior of the saturated poroelastic beams depends closely on the diffusion conditions at the beam ends, especially for the equivalent couples of the pore pressures. It is found that the Mandel-Cryer effect also exists in the bending of the saturated poroelastic beams under specific diffusion conditions at the beam ends.
作者 杨骁 刘鑫
出处 《Journal of Shanghai University(English Edition)》 CAS 2008年第1期1-6,共6页 上海大学学报(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant No.10272070), and the Shanghai Leading Academic Discipline Project (Grant No.Y0103)
关键词 theory of porous media saturated poroelastic beam quasi-static bending method of separation of variables theory of porous media, saturated poroelastic beam, quasi-static bending, method of separation of variables
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