Volume 46 Issue 9
Sep.  2025
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DONG Pengjun, TANG Boming, CAO Xuejuan. Study on Principal Stress Axis Rotations and Direction Cosines of Asphalt Pavement Under Moving Loadings[J]. Applied Mathematics and Mechanics, 2025, 46(9): 1119-1129. doi: 10.21656/1000-0887.450214
Citation: DONG Pengjun, TANG Boming, CAO Xuejuan. Study on Principal Stress Axis Rotations and Direction Cosines of Asphalt Pavement Under Moving Loadings[J]. Applied Mathematics and Mechanics, 2025, 46(9): 1119-1129. doi: 10.21656/1000-0887.450214

Study on Principal Stress Axis Rotations and Direction Cosines of Asphalt Pavement Under Moving Loadings

doi: 10.21656/1000-0887.450214
Funds:

The National Science Foundation of China(52278441)

  • Received Date: 2024-07-16
  • Rev Recd Date: 2024-12-04
  • Available Online: 2025-10-17
  • To reveal the damage mechanism of asphalt pavement under single and multiple loadings with respect to the variations in the magnitude and direction of the principal stress, an asphalt pavement structure model was constructed with the finite element method. The stress paths and the direction cosine variations of the principal stresses in asphalt pavement structural elements under different numbers of axle loads were investigated. The results show that, under both single and multiple loadings, the stress path and the rotation intensity of the principal stress axis in the pavement structural elements change over time. During the movement of the load, as the wheel passes over the examined section, the direction cosine value corresponding to the principal stress alternates between positive and negative ones. Moreover, due to the interactions between different wheels, the positive and negative peak values of the direction cosines for different wheels differ. The direction cosine values of the 1st principal stress alternately switch between positive and negative ones both in the transverse and longitudinal directions, indicating that the principal stress direction experiences abrupt changes during vehicle loading. Furthermore, the alternations become more complex under multiple wheel loadings. Under prolonged cyclic loadings, this can lead to the formation of cracks in the pavement.
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