一维大应变固结理论的一类解析解

AN ANALYTICAL SOLUTION OF ONE-DIMENSIONAL FINITE STRAIN CONSOLIDATION THEORY

简述了一维固结理论的发展 ,研究了不同描述方法下固结系数的定义 ,运用变换群的方法求得了某些条件下一维大应变固结方程的完整解析解答 ,在此基础上与相同条件下的小应变固结理论作了比较 ,并通过对实例的计算 ,分析了不同假设条件下一维固结理论之间的差异 .计算结果表明 ,在固结过程中 ,由大应变固结理论所得出的沉降量要大于由小应变理论所得出的沉降量 ,而两种固结理论所得出的最终沉降量相同 .

The development of one-dimensional finite strain consolidation theory for saturated soils is reviewed first. Expressions of the coefficient of consolidation by different description methods are then discussed. With the application of the Lie group transformation method, the consolidation equation under some cases is solved exactly, and differences between the finite and infinitesimal strain consolidation theory are analyzed based on the solution obtained. An example problem shows that the settlement calculated by finite strain consolidation theory is larger than that by infinitesimal strain theory during the consolidation procession, but the final settlements calculated by the both theories are the same.;