双面排水非线性固结超静孔压的非对称性解析

Spatial asymmetry of excess pore pressure during nonlinear consolidation with two-way drainage

为了分析一般意义的非线性固结过程中超静孔压的发展规律,基于欧拉描述的基本方程和构形转换关系,提出了非线性固结过程中超静孔压与孔隙比之间的严格函数表达式。在Morris提出的线性有限应变一维固结解析解答基础上,得到双面排水情况下正常固结和自重固结土体的超静孔压解析解。分析和讨论了超静孔压的非对称分布特征及其影响因素。结果表明,无量纲参数N在超静孔压分布形态上起决定作用。在N不接近于0的情况下,按经典Terzaghi固结理论的超静孔压对称性分布假设将不再适用于非线性固结问题。

Based on fundamentals of continuum mechanics with Eulerian description method and the corresponding configuration transform relationship,a strict functional form on excess pore pressure（EPP） and void ratio during nonlinear consolidation of saturated soil is presented in this paper to study the development of EPP with a general meaning of nonlinearity.According to the analytical solution to linear finite-strain one-dimensional consolidation by Morris and the presented functional form,analytical solutions to EPP occurred with two-way drainage are put forward for normally consolidated and dead weight consolidated soils respectively.Thereafter,the asymmetry characteristics of EPP and the impact factors are investigated through a numerical orthogonal experiment.The results show that a dimensionless parameter N plays a dominant role in the spatial distribution behavior of EPP during nonlinear consolidation.For the case of non-zero N,the symmetry distribution of EPPin context of classic Terzaghi’s theory is not suited to nonlinear consolidation.