THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (6): 857-871.

THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION

郑家栋¹, 胡慧智¹, 徐鸿江², 朱泽民², 殷宗泽³

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

收稿日期:1980-12-09 出版日期:1982-11-18 发布日期:1982-11-18

THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION

Zheng Jia-dong¹, Hu Hui-zhi¹, Xu Hong-jiang², Zhu Ze-min², Yin Zong-ze³

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

Received:1980-12-09 Online:1982-11-18 Published:1982-11-18

摘要/Abstract

摘要： 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 -Terzhi-gi’s theory^[2]. In this article, we obtain the general Biot’s finite element equations of consolidation with classical varia-tional principles. The equations have clear physical meaning and have been applied to analysing the consolidation of Bajia-zui earth dan. The computational results are in accord with engineering practice.

关键词: variational principle in elasticy, Chien’s generalized variational principles, Hu-Washizu principle, semi-inverse method, trial-functional, variational crisis

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-Terzhi-gi’s theory^[2]. In this article, we obtain the general Biot’s finite element equations of consolidation with classical varia-tional principles. The equations have clear physical meaning and have been applied to analysing the consolidation of Bajia-zui earth dan. The computational results are in accord with engineering practice.

Key words: variational principle in elasticy, Chien’s generalized variational principles, Hu-Washizu principle, semi-inverse method, trial-functional, variational crisis

郑家栋;胡慧智;徐鸿江;朱泽民;殷宗泽. THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(6): 857-871.

Zheng Jia-dong;Hu Hui-zhi;Xu Hong-jiang;Zhu Ze-min;Yin Zong-ze. THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(6): 857-871.

THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION

THE APPLICATION OF TFiE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSCLIDATIOLd EQUATION

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