中文摘要：

针对单层黏弹性地基Merchant模型，运用Laplace变换，求得频域内单层黏弹性地基的一维固结解。通过Laplace逆变换，计算了单层黏弹性地基在任意循环荷载下的有效应力及平均固结度。此外，结合工程实例，研究了Merchant模型各参数对循环荷载下黏弹性地基固结的影响。结果表明，在黏弹性地基的固结过程中，有效应力和沉降的发展速率是不一致的，黏壶的存在使地基固结初期的有效应力增长加快，而使固结后期的有效应力增长减慢，同时使变形的发展滞后于有效应力的发展。研究结果亦表明，循环荷载下土体的固结对独立弹簧模量的变化要比Kelvin体中弹簧模量的变化敏感。

英文摘要：

By the method of Laplace transform, consolidation of viscoelastic soil under arbitrary loading was studied. The general solution in the Laplace transform field was obtained; and then the effective stress and average degree of consolidation in the soil under arbitrary loading could be calculated by the Laplace inversion. In addition, according to numerical examples, the influence of parameters of Merchant model on the consolidation was investigated. The results show that the rate of effective stress increment is different from that of settlement during the consolidation of viscoelastic soil and the viscous effect can result in faster effective stress increment in the early stage and slower effective stress increment in advanced stage. Obtained results also indicate that the consolidation of soil layer is more sensitive to the change of modulus in separated spring than that of modulus in Kelvin spring under cyclic loading.