| 轴向扩散下不可压饱和多孔简支弹性杆的弯曲 |
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| 引用本文： | 杨骁,刘鑫.轴向扩散下不可压饱和多孔简支弹性杆的弯曲[J].上海大学学报(英文版),2008,12(1):1-6. |
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| 作者姓名： | 杨骁 刘鑫 |
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| 作者单位： | [1]Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| 摘 要： |
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| 关 键 词： | theory of porous media saturated poroelastic beam quasi-static bending method of separation of variables. 轴向扩散 不可压 多孔 弹性杆 弯曲 diffusion axial incompressible simply supported specific especially behavior ends moments solid skeleton equivalent pore fluid figures analytical solutions |
| 文章编号： | 10.1007/s11741-008-0101-2 |
| 收稿时间： | 2006-06-12 |
| 修稿时间： | 2006-07-17 |
Bending of simply supported incompressible saturated poroelastic beams with axial diffusion |
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| Xiao Yang,Xin Liu.Bending of simply supported incompressible saturated poroelastic beams with axial diffusion[J].Journal of Shanghai University(English Edition),2008,12(1):1-6. |
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| Authors: | Xiao Yang Xin Liu |
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| Institution: | 1. Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | Based on the mathematical model of the bending of the incompressible saturated poroelastic beam with axialdiffusion, the quasi-static bendings of the simply supported poroelastic beam subjected to a suddenly applied constant loadwere investigated, and the analytical solutions were obtained for different diffusion conditions of the pore fluid at the beamends. The deflections, the bending moments of the solid skeleton and the equivalent couples of the pore pressures werepresented in figures. It is also shown that the behavior of the saturated poroelastic beams depends closely on the diffusionconditions at the beam ends, especially for the equivalent couples of the pore pressures. It is found that the Mandel-Cryereffect also exists in the bending of the saturated poroelastic beams under specific diffusion conditions at the beam ends. |
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| Keywords: | theory of porous media saturated poroelastic beam quasi-static bending method of separation of variables |
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