大应变固结理论的分区变分原理及其广义变分原理

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Region-Wise Variational Principles and Generalized Variational Principles on Large Strain for Consolidation Theory

1.
School of Civil Engineering, Huazhong University of Science & Technology, Wuhan 430074, P. R. China;

摘要: 土体材料本构特性的差异问题与大变形问题是分析岩土材料变形特性的基本问题．根据有限变形的描述方法构筑土体结构大变形固结方程，证明了大变形固结的变分原理A·D2应用分区子结构的连续条件，推导固结理论的分区变分原理．引用Lagrange乘子法构筑并证明了大变形固结问题在无约束状态下的广义分区变分原理．
- 大应变固结 /
- 变分原理 /
- 分区变分 /
- 广义变分
Abstract: 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 rigorous testimony. The region-wise 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 constrained condition were created and approved.
- large strain consolidation /
- variational principle /
- region-wise variation /
- generalized variational principle

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