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研究了非饱和粘弹性地基在加荷随时间指数变化作用下的一维固结特性。针对粘弹性地基土最基本的merchant模型,采用李氏比拟法,依据Fredlund固结理论及Cayley-Hamilton数学方法得到Laplace变换域内的超孔隙压力的解;再根据Crump方法编制程序进行Laplace逆变换得到了时间域内的超孔隙压力及土层沉降的半解析解。最后,本文给出了一个典型算例,揭示了在加荷随时间指数变化下非饱和粘弹性地基的固结特性,扩展了非饱和土固结理论在工程实际中的适用性。
The one-dimensional consolidation behavior of unsaturated viscoelastic foundation under the change of loading index with time is studied. For the most basic merchant model of viscoelastic soil, the solution of excess pore pressure in Laplace transform domain is obtained by the Li’s method of comparison and the Fredlund consolidation theory and the Cayley-Hamilton method. The Laplace inverse method is also used to prepare the program according to the Crump method Semi-analytical solution of over pore pressure and soil settlement in time domain. Finally, a typical example is given to reveal the consolidation behavior of unsaturated viscoelastic foundation under the change of loading index with time, which expands the applicability of unsaturated soil consolidation theory in engineering practice.