Irreversible consolidation problem of a saturated porothermoelastic spherical body with a spherical cavity

Irreversible consolidation problem of a saturated porothermoelastic spherical body with a spherical cavity
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具有球腔的饱和多孔热弹性球体的不可逆固结问题

DOI:
10.1016/j.apm.2012.05.003
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发表时间:
2013-02
影响因子:
5
通讯作者:
Li Tao
Li Tao
中科院分区:
工程技术2区
文献类型:
--
作者:
Bai Bing;Li Tao

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基于饱和多孔热弹性介质的不可逆耦合控制方程,导出了变载荷和热载荷作用下含球形空腔的球形空间的解析解。分析了两种特殊情况:固体球和无限介质中的球形空腔。在这项研究中提出的方法考虑到耦合可变的机械和热载荷的内部和外部边界表面,以及所谓的“半渗透”边界条件从完全渗透到完全不透水的表面。最后给出了典型算例,说明了温度、孔压和位移随时间的演化规律。
Analytical solutions have been derived for spherical space with a spherical cavity based on the irreversible coupled governing equations of saturated porous thermoelastic media when subjected to variable mechanical and thermal loading. Two special cases, a solid spherical body and a spherical cavity in an infinite medium, are analyzed. The method proposed in this study takes into account the coupled variable mechanical and thermal loading on inner and outer boundary surfaces, and a so-called “semi-permeability” boundary condition from completely pervious to completely impervious surface as well. Finally, typical examples are presented to illustrate the evolutions of temperature, pore pressure and displacement with time.
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