Analytical model of longitudinal tire traction in snow

Nakajima, Yoshikazu

doi:10.1016/j.jterra.2003.09.003

Cited by 22 publications

(2 citation statements)

References 29 publications

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“…Numerical simulation is a more efficient and convenient method for snow-tire research due to the time-consuming field testing. The analytical/semi-analytical method was established by Nakajima (2003), which was used to estimate the longitudinal traction of a tire in snow [132]; Mundl et al (1997) used the Lagrange method in the finite element method (FEM) to establish an elastoplastic material model of snow, enabling a comprehensive investigation into the interaction between elastic tread blocks and inelastic snow surfaces [133]. Particle-based methods have become increasingly popular in recent years; as shown in Figure 9h, El-Sayegh et al (2019) used the smooth particle hydrodynamics (SPH) method to model snow and calculate the motion resistance coefficient of the truck tire-snow interaction, and the effects of vertical load, tire longitudinal speed, and snow depth on the resistance coefficient were investigated [134].…”

Section: Avalanche Behavior In Snow Failure and Simulation In Practic...mentioning

confidence: 99%

Antarctic Snow Failure Mechanics: Analysis, Simulations, and Applications

Xiao,

Li,

Matin Nazar

et al. 2024

Materials

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Snow failure is the process by which the stability of snow or snow-covered slopes is destroyed, resulting in the collapse or release of snow. Heavy snowfall, low temperatures, and volatile weather typically cause consequences in Antarctica, which can occur at different scales, from small, localized collapses to massive avalanches, and result in significant risk to human activities and infrastructures. Understanding snow damage is critical to assessing potential hazards associated with snow-covered terrain and implementing effective risk mitigation strategies. This review discusses the theoretical models and numerical simulation methods commonly used in Antarctic snow failure research. We focus on the various theoretical models proposed in the literature, including the fiber bundle model (FBM), discrete element model (DEM), cellular automata (CA) model, and continuous cavity-expansion penetration (CCEP) model. In addition, we overview some methods to acquire the three-dimensional solid models and the related advantages and disadvantages. Then, we discuss some critical numerical techniques used to simulate the snow failure process, such as the finite element method (FEM) and three-dimensional (3D) material point method (MPM), highlighting their features in capturing the complex behavior of snow failure. Eventually, different case studies and the experimental validation of these models and simulation methods in the context of Antarctic snow failure are presented, as well as the application of snow failure research to facility construction. This review provides a comprehensive analysis of snow properties, essential numerical simulation methods, and related applications to enhance our understanding of Antarctic snow failure, which offer valuable resources for designing and managing potential infrastructure in Antarctica.

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Section: Avalanche Behavior In Snow Failure and Simulation In Practic...mentioning

confidence: 99%

Antarctic Snow Failure Mechanics: Analysis, Simulations, and Applications

Xiao,

Li,

Matin Nazar

et al. 2024

Materials

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“…Under typical conditions, snow displays intricate properties characterized by non-linear viscoelastic behavior and significant deformations, encompassing both volumetric and deviatoric strains [5], [6]. The literature presents various approaches for modeling the interaction between snow and tires, including analytical and semianalytical methods [7], finite element methods [8], and, more recently, particle-based methods [9]. Finite element methods (FEM) employ diverse material models to represent snow, specifically chosen to accurately capture its highly compressible nature [10].…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of FEM tire-soft snow interaction and theoretical model based on Bekker’s coefficients

Surkutwar,

Vilsan,

Sandu

et al. 2024

IOP Conf. Ser.: Mater. Sci. Eng.

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Tire-deformable terrain interaction is a complex phenomenon that has proven difficult to characterize accurately and comprehensively using numerical models. While researchers have attempted to develop various numerical models to estimate tire behavior on deformable terrain, the most accurate models to date rely on empirical data and are only applicable to specific rolling conditions. In this research paper, a comparison between theoretical mechanics and a finite element method (FEM) model of a rigid tire rolling on a layer of soft snow is presented. The goal is to compare the data obtained from the FEM tire-soft snow interaction analysis with the data generated by a theoretical numerical model. The FEM snow model is developed using the Drucker-Prager cap material model while the tire is assumed rigid. The assumption of the rigid tire can provide reasonably accurate results in the case of the soft snow interaction model. The theoretical pressure-sinkage coefficients of the Bekker equation (kc, kϕ and n) for soft snow are calculated by simulating vertical penetration tests in the FEM snow model. The results of the pressure distribution and rolling resistance due to compaction obtained by the FEM and the theoretical model results are then compared.

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Tire Noise

Nakajima¹

2019

Advanced Tire Mechanics

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Analytical model of longitudinal tire traction in snow

Cited by 22 publications

References 29 publications

Antarctic Snow Failure Mechanics: Analysis, Simulations, and Applications

Antarctic Snow Failure Mechanics: Analysis, Simulations, and Applications

Comparative analysis of FEM tire-soft snow interaction and theoretical model based on Bekker’s coefficients

Tire Noise

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