The Application of the Finite Element Method to Solving Biot’s Consolidation Equations

Zheng Jia-dong; Hu Hui-zhi; Xu Hong-jiang; Zhu Ze-min; Yin Zong-ze

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(6): 793-805

Zheng Jia-dong, Hu Hui-zhi, Xu Hong-jiang, Zhu Ze-min, Yin Zong-ze. The Application of the Finite Element Method to Solving Biot’s Consolidation Equations[J]. Applied Mathematics and Mechanics, 1982, 3(6): 793-805.

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The Application of the Finite Element Method to Solving Biot’s Consolidation Equations

1.
Shanghai Institute of Computing Technique, Shanghai;
2.
Institute of Hydraulic Research, Yellow River Water Conservancy Commission, Zhengzhou;
3.
East China College of Hydraulic Engineering, Nanjing

Received Date: 1980-12-09
Publish Date: 1982-12-15

Abstract

Abstract

Biot's theory of consolidation of saturated soil.regards the consolidation process as a coupling problem between stress of elastic body and flow of fluid existing in pofes^[1]. It can more precisely reflect the mechanism of consolidation than Terzhigi's theory^[2]. In this article, we obtain the general Biot's finite element equations of consolidation with classical variational principles. The equations have clear physical meaning and have been applied to analysing the consolidation of Bajiazui earth dan. The computational results are in accord with engineering practice.

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References(6)

References

[1]	Biot,M.A,General theory of three-dimensional consolidation.J.Appl.Phys.,vol.12,(1941).
[2]	Terzhagi,K.and R.B.Peck,Soil mechanics in engineering practice,Wiley,(1948).
[3]	Sandhu,R.S.and E.L.wilson,Finite element analysis of seepape in elastic media.J.Engg.Mech.Div.ASCE,Vol.95,(1969).
[4]	Hwang,C.T.,N.R.Morgenstern,and D.W.Murray,On solutions of plane strain consolidation problems by finite element methods.Canadian Geotechnical Journal,8,(1971).
[5]	殷宗泽、徐鸿江、朱泽民,饱和土平面固结问题有限单元法,华东水利学院学报,1,(1978).
[6]	鹫津久一狼,《弹性学の变分原理概论》,东京,(1972).