Compaction is probably the industrial process more intensively used in road construction. The current compaction practice is based on the useful methodology proposed by Proctor (1933). This methodology intends to reproduce field compaction in the laboratory by applying a controlled mechanical energy to the soil and relating the dry density with the water content. However, recent developments in soil compaction analysis in the laboratory and field seek a better understanding of the link between the mechanical stresses applied to the soil and the strains it undergoes. This requirement needs analyzing the stresses applied to the soil by the compaction machine, the distribution of stresses within the soil layer undergoing compaction, and the behavior of the partially saturated soil. This article explores the feasibility of using a series of simplified analytical equations to model compaction within a mechanical framework. The proposed model focuses on the compaction produced by a cylinder applying a static load. The methodology combines the Hertz contact stress theory with the Fröhlich stress distribution and the Barcelona Basic Model for partially saturated soils. The results of the proposed analytical model successfully agree with the experimental observations obtained using a geotechnical centrifuge model and confirming its potential use for compaction control and monitoring.

压实可能是在道路建设中使用较多的工业过程。当前的压实实践基于 Proctor (1933) 提出的有用方法。该方法旨在通过向土壤施加受控机械能并将干密度与含水量联系起来，在实验室中重现田间压实。然而，实验室和现场土壤压实分析的最新进展寻求更好地了解施加到土壤上的机械应力与其承受的应变之间的联系。此要求需要分析压实机施加到土壤上的应力、进行压实的土层内的应力分布以及部分饱和土壤的行为。本文探讨了使用一系列简化的分析方程对机械框架内的压实进行建模的可行性。所提出的模型侧重于由施加静载荷的圆柱体产生的压实。该方法将 Hertz 接触应力理论与 Fröhlich 应力分布和部分饱和土壤的 Barcelona 基本模型相结合。所提出的分析模型的结果成功地与使用岩土离心机模型获得的实验观察结果一致，并证实了其在压实控制和监测方面的潜在用途。该方法将 Hertz 接触应力理论与 Fröhlich 应力分布和部分饱和土壤的 Barcelona 基本模型相结合。所提出的分析模型的结果成功地与使用岩土离心机模型获得的实验观察结果一致，并证实了其在压实控制和监测方面的潜在用途。该方法将 Hertz 接触应力理论与 Fröhlich 应力分布和部分饱和土壤的 Barcelona 基本模型相结合。所提出的分析模型的结果成功地与使用岩土离心机模型获得的实验观察结果一致，并证实了其在压实控制和监测方面的潜在用途。