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

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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. 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

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

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