对经典小变形固结理论固结系数的辨析

针对经典固结理论中固结系数的两种不同定义，探讨了其根源和潜在影响。对体元体积变化率的计算方法不同是导致产生两种小变形固结系数的主要原因。根据有限变形理论分析，Terzaghi(1943)和Terzaghi & Fröhlich (1936)提出的小变形固结系数分别具有拉格朗日坐标和欧拉坐标的背景，均不同于Terzaghi(1923)最早得到的形式。在Gibson大变形理论研究中涉及的小变形固结系数是按Terzaghi & Fröhlich定义的，在此前提下所得的大、小变形法结果差异的定量结果可能具有一定局限性。从应用角度看，两种固结系数之间的差别与荷载大小和土体的结构性等因素有关。

Analysis of consolidation coefficients in classic small-strain consolidation theory

The origin and the potential influence of two forms of consolidation coefficients in classic consolidation theory are discussed. Various computational methods for change rate of volume element are a major reason for resulting in two kinds of consolidation coefficients. According to finite-strain theory, the small-strain consolidation coefficients proposed by Terzaghi (1943) and Terzaghi &; Fröhlich (1936) which differ from that obtained earlier by Terzaghi (1923), have Lagrangian coordinate and Eulerian coordinate backgrounds respectively. The small-strain consolidation coefficient in Gibson’s large-strain consolidation theory generally uses the definition proposed by Terzaghi &; Fröhlich (1936), leading to a considerable controversy on quantitative results obtained previously with respect to the differences between Gibson’s theory and classic consolidation theory. From the application point, the differences between two kinds of consolidation coefficients in classic theory depend on stress level, structure characteristics of soils and so on.