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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。
In order to analyze the development law of the excess pore pressure during the nonlinear consolidation process in the general sense, a strict function between the excess pore water pressure and the void ratio in the nonlinear consolidation process is proposed based on the fundamental equations and the configuration transformation relations described by Euler expression. On the basis of Morris’ s solution of one - dimensional linear finite strain strain solution, the analytical solution of excess pore pressure of normal consolidation and self - weight consolidation soil under the condition of double drainage is obtained. The asymmetric distribution of excess pore pressure and its influencing factors were analyzed and discussed. The results show that the dimensionless parameter N plays a decisive role in the distribution of excess pore pressure. Under the condition that N is not close to 0, the hypothesis of the excess pore pressure symmetry distribution according to the classical Terzaghi consolidation theory will no longer be applicable to the nonlinear consolidation problem.