Applied Mathematics and Mechanics

, Volume 26, Issue 7, pp 944–952 | Cite as

Region-wise variational principles and generalized variational principles on large strain for consolidation theory



The difference of constitutive character and large deformation as to soil mass are basic questions to analyze deformational feature. According to the description method of limited deformation, the large deformation consolidation equations of soil mass were created and its variational principles were rigorously testified. The regionwise variational principles of consolidation theory were deduced using sub-structure continuous condition of region-wise. Quoting the method of Lagrangian multiplier operator, generalized variational principles of region-wise of large deformation consolidation in the nonconstrained condition were created and approved.

Key words

large strain consolidation variational principle region-wise variation generalized variational principle 

Chinese Library Classification

O176 2000 Mathematics Subject Classification 74L10 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Yin Youqun.Nonlinear FEM Theory of Solid Mechanics[M]. Beijing University Press and Tsinghua University Press, Beijing, 1987, 195–210 (in Chinese).Google Scholar
  2. [2]
    Luo Xiaohui. Lmimt deformation FEM method of evaluating Boit's consolidation equation [A]. In: Cao H, Chen X W, Liao J S (eds.).Proceedings of Chinese Conference on Rock Mechanics and Engineering[C]. Press of Huanan University of Sci & Tech, Guangzhou, 1999, 163–170 (in Chinese).Google Scholar
  3. [3]
    Chien Weizang.Generalized Variational Principles[M]. Knowledge Press, Beijing, 1985, 89–107 (in Chinese)Google Scholar
  4. [4]
    Chien Weizang, Lu Wenda, Wang Shu. Region-wise variational principles and generalized variational principles on dynamics[J].Acta Mechanica Sinica, 1989,21(3): 300–305 (in Chinese).Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

  1. 1.School of Civil EngineeringHuazhong University of Science & TechnologyWuhanP. R. China
  2. 2.Department of GeotechniqueHuabei Hydraulic and Hydroelectric Engineering InstituteZhengzhouP. R. China

Personalised recommendations