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Analytical study of stress distribution models for estimation of stresses beneath plain rigid wheels and a vertical force on TRI-1 lunar soil simulant

Kumar Pala Gireesh, Jayalekshmi S.

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 3

791--802

In this paper, three stress distribution models are considered, namely: Reece from 1965, Bekker from 1969, Wong-Reece from 1967. Two types of wheels are considered for the preset study, i.e., a small wheel with diameter of 160 mm and width 32 mm, whereas for a large wheel with diameter of 210 mm and width of 50 mm. TRI-1 or Tiruchirappalli soil simulant is considered for the interaction studies, which is an anorthosite based lunar soil simulant. The normal stress, shear stress and vertical forces are determined when the wheel starts moving on TRI-1 soil simulant. Entry and exit angles are also calculated for all models to estimate vertical forces. The maximum normal stress found for the small wheel was 32.121 kN/m2 (Wong-Reece model). In the case of the large wheel, the maximum normal stress was found to be 39.016 kN/m2 (Reece model). Vertical forces are found from the obtained normal stresses and shear stresses, and are presented graphically. The dimensionless stress ratio of both the wheels for the considered models, i.e., DNSR and DSSR, is also found.

Modified model for shear stress distribution using TRI-1 lunar soil simulant

Jayalekshmi S., Gireesh Kumar P.

Journal of Theoretical and Applied Mechanics

2018

Vol. 56 nr 1

137--146

In the present study, research is carried out on deriving modified analytical equations for finding shear stress distribution and known as Modified Shear Stress models (SSM) beneath plain wheels (small and large) on TRI-1 lunar soil simulant. In all four models, the Reece model, Bekker model, Wong-Reece model and Iagnemma model, normal stress and shear stress are determined, and the shear stress determination is based on the Janosi and Hanamoto (1961) model. There exists ample scope for modifying this model. A modified model for shear stress distribution is developed and the same is discussed in this paper.