2D steady-state general solution and fundamental solution for fluid-saturated, orthotropic, poroelastic materials

被引：7
|
作者：
Pan, Li-Hua [1 ,2 ]
Hou, Peng-Fei [1 ,2 ]
Chen, Jia-Yun [1 ,2 ]
机构：
[1] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
[2] Hunan Univ, Dept Engn Mech, Changsha 410082, Hunan, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 04期
基金：
中国国家自然科学基金;
关键词：
2D general solution; Fundamental solution; Fluid source; orthotropic; Poroelastic; GREENS-FUNCTIONS; HALF-SPACE;
D O I：
10.1007/s00033-016-0677-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The 2D steady-state solutions regarding the expressions of stress and strain for fluid-saturated, orthotropic, poroelastic plane are derived in this paper. For this object, the general solutions of the corresponding governing equation are first obtained and expressed in harmonic functions. Based on these compact general solutions, the suitable harmonic functions with undetermined constants for line fluid source in the interior of infinite poroelastic body and a line fluid source on the surface of semi-infinite poroelastic body are presented, respectively. The fundamental solutions can be obtained by substituting these functions into the general solution, and the undetermined constants can be obtained by the continuous conditions, equilibrium conditions and boundary conditions.
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页数：13
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