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Boundary element method for linear problems of fluid-saturated porous media |
Received:August 27, 2009 Revised:December 02, 2009 |
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DOI:10.7511/jslx201102013 |
KeyWord:Boundary element method fluid-saturated porous media principle of superposition effective elastic modulus |
Author | Institution |
黄拳章 |
清华大学 工程力学系,北京 ;西安高科技研究所201室,西安 |
郑小平 |
清华大学 工程力学系,北京 |
王彬 |
清华大学 工程力学系,北京 |
王云 |
清华大学 工程力学系,北京 |
姚振汉 |
清华大学 工程力学系,北京 |
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Abstract: |
In this paper, a new method to solve the linear problem of fluid-saturated porous media is presented by using the boundary element method. Firstly, the whole problem can be decomposed into a series of similar sub-problems, each of which contains only one fluid inclusion. Furthermore, the relation between the fluid volume variation and pressure variation for each of the sub-problems can be obtained, and based on these relations, a set of algebraic equations dealing with the fluid pressure are constructed consequently. After solving the algebraic equations, all the fluid pressure in different pores as well as the displacement fields in the whole domain can be solved. In order to illustrate the applications of the presented method, one example of a plane strain problem is presented; and the effective elastic modulus is computed under different porosities, which shows good agreement with the results in the references. |
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