关键词: 基底应力分布, 瑞利-里兹法, 应力凹陷

Abstract: The basal stress of geotechnical triangular prism is studied. While it is impossible to get the analytical solution of basal stress distribution of geotechnical triangular prism, the approximate solution of basal stress distribution of geotechnical triangular prism is got with the Rayleigh-Ritz method. By comparison with different solutions of different slope ratios, different Poisson’s ratios, and different boundary conditions at the base, the results are drawn as follows. There is depression of basal normal stress on the base of geotechnical triangular prism. The steeper the slope is, the more depression of basal normal stress is. Much more depression occurs with the boundary condition of constraints on the base. Meanwhile, the value of Poisson’s ratio has little impact on the distribution of basal normal stress. The Poisson’s ratio mainly impacts the distribution of basal shear stress. The larger the value of Poisson’s ratio is, the larger the basal shear stress is. The slope ratio has large influence on the position and value of the maximum basal shear stress. The larger the slope ratio is, the larger the basal shear stress is, and the larger distance between the maximum basal shear stress and center of base is.

Key words: basal stress distribution, Rayleigh-Ritz method, depression of stress