Abstract:
The paper presents a computational model for calculating the characteristics of the ice cover of a freshwater reservoir with regard to the effect of snow. The algorithm for calculating the bearing capacity is based on the formula of central bending, and the ice cover is represented as an isotropic elastic plate lying on an elastic foundation. The model takes into account the geometric parameters of the applied load, temperature dependencies of the maximum allowable bending stress and the modulus of elasticity of ice. To determine the thickness and temperature of the ice cover a non-stationary computational model based on the numerical solution of the Stefan problem in a generalized formulation is used. To model the dynamics of ice cover the average daily values of air temperature, wind speed, air humidity and solar radiation falling on the surface of the reservoir are taken into account for the cold season. Results of simulation showed a significant impact of snow on reducing the bearing capacity of the ice cover due to decrease in the thickness of the ice and increase in its temperature. The results of calculating the thickness, temperature regime and bearing capacity of the ice cover allow one to estimate the safety of ice crossings on the current date. The estimate is based on meteorological data for the previous period of time. The model can be also used to predict the state of the ice cover in the future using meteorological forecasts.
Keywords:ice cover, bearing capacity, modulus of elasticity, thermal conductivity, temperature regime of the reservoir, computational modeling.
UDC:
517.96
Received: 10.03.2025 Received in revised form: 14.04.2025 Accepted: 04.06.2025
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