In civil engineering, the deformation of multi-layer foundation is an issue of concern. This article considers the axisymmetric problem of a single force acting in a multilayered foundation, for which the Papkovich-Neuber potential function is adopted to solve the basicequations. Obtaining the stress dis-tribution of cylindrical distributed load acting on the semi-infinite space according to superposition princi-ple. Simplifying multilayered foundation to single layered, the solution presented in this article is proved to be correct when compared with the Boussinesq solution under cylindrical distributed load situation. Finally, a three-layered foundation model is considered as an example, for analyzing the influ-ence of different elastic modulus in each layer of multi-layer foundation on the settlement%在土木工程中,多层地基的沉降计算是一个值得关注的问题.本文针对集中力作用于多层弹性体介质的轴对称问题,采用Papkovich - Neuber函数,给出了求解的过程.并根据叠加原理,求解获得圆柱形分布荷载作用于半无限空间的应力分布.将多层地基退化为单层情况,与圆柱形荷载作用下的Boussinesq解答对比证明了本文解答的正确性.最后以三层地基为例,分析了各层不同弹性模量对多层地基中沉降的影响.
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