The interaction between soil and tire is a complex phenomenon influenced by various factors, such as soil properties, vertical load on the wheel, and tire characteristics. However, estimating stress at the tire-soil interface is a challenging task due to the unpredictable nature of soil. Existing models for investigating the wheel-soil interaction are based on soil mechanical parameters, which are highly variable and require significant time and resources to measure accurately. In contrast, the amount of wheel sinkage into the soil can be measured in real-time and is derived from the mechanical properties of the soil. Therefore, there is a need to establish a relationship between stress and wheel characteristics such as dynamic contact length and tire sinkage in soil. To address this issue, this study introduces an analytical method to estimate the dynamic contact surface between the tire and soil. A mathematical model is then proposed to estimate stress, assuming the contact surface and variable pressure at the interface between the soil and tire. The stress model is validated through experimental tests conducted at three different vertical load levels and four different wheel traffic levels in the soil bin, repeated three times.

土壤和轮胎之间的相互作用是一个复杂的现象，受土壤特性、车轮垂直载荷和轮胎特性等多种因素的影响。然而，由于土壤的不可预测性，估计轮胎-土壤界面处的应力是一项具有挑战性的任务。用于研究车轮与土壤相互作用的现有模型基于土壤力学参数，这些参数变化很大，需要大量时间和资源才能准确测量。相比之下，车轮沉入土壤的量可以实时测量，并根据土壤的力学特性得出。因此，需要建立应力与车轮特性（例如动态接触长度和轮胎在土壤中的下沉量）之间的关系。为了解决这个问题，本研究介绍了一种估计轮胎和土壤之间动态接触面的分析方法。然后提出了一个数学模型来估计应力，假设土壤和轮胎之间的接触面和界面处的压力变化。通过在土仓中的三个不同垂直载荷水平和四个不同车轮交通水平下进行的实验测试（重复三次）对应力模型进行了验证。