A method to calculate the elastic shakedown limit of transportation systems (e.g. pavements and railways) supported by geogrid reinforced soils is presented. For the first time, lower-bound shakedown theory is combined with a strength-based geogrid simulation approach, resulting in a rapid method to quantify the benefit of geogrids on the elastic shakedown limit. It allows decoupling of elastic stress generation and shakedown calculations, meaning it is straightforward to implement, and requires minimal computational effort. Therefore it presents a useful tool to optimise geogrid design for transportation structures such as highway pavements and railways. To show the capability of the method, shakedown limits are calculated for a variety of geogrid configurations using elastic stresses induced by a moving Hertz load. The effect of geogrid depth, soil cohesion, soil friction angle and loading type (normal versus tangential) are investigated for reinforced and non-reinforced soils. It is found that the optimum depth is sensitive to the soil strength properties. Regarding loading, it is shown that for highly tangential loads, shallower geogrids are effective, while for loads with a minimal tangential component, deeper geogrids are effective.

提出了一种以土工格栅加筋土为支撑的运输系统（例如人行道和铁路）的弹性减振极限的计算方法。第一次，将下限震荡理论与基于强度的土工格栅模拟方法相结合，从而产生了一种快速的方法来量化土工格栅在弹性震荡极限上的收益。它允许将弹性应力的产生和减振计算解耦，这意味着它易于实现，并且所需的计算工作最少。因此，它提供了一种有用的工具，可以优化土工格栅的设计，以用于公路和铁路等交通运输结构。为了显示该方法的功能，利用由移动的赫兹载荷引起的弹性应力，计算了各种土工格栅结构的沉降极限。土工格栅深度的影响，研究了加筋土和非加筋土的土壤内聚力，土壤摩擦角和荷载类型（法向与切向）。发现最佳深度对土壤强度特性敏感。关于载荷，表明对于高切向载荷，较浅的土工格栅是有效的，而对于切向分量最小的载荷，较深的土工格栅是有效的。