Abstract
To solve the problems presented by the rational determination of the reduction mode in the traditional strength reduction method and to overcome the difficulty in determining double safety factors from the existing double reduction factors method, a nonproportional relationship between the cohesion reduction factor and the internal friction angle reduction factor is established for a case in which the strength parameter distribution obeys the linear attenuation assumption. By introducing this correlation into the traditional strength reduction finite element method, the nonproportional correlative reduction finite element method for slope strength parameters is proposed. To verify the reliability of the proposed method, the nonproportional correlation is introduced into Bishop’s slice method, yielding the nonproportional double safety factors of Bishop’s slice method. For the whole safety storage of the slope based on the double safety factors, a comprehensive safety factor with the contribution of the shear strength parameter to the sliding resistance force as weight is proposed. Finally, in combination with an example and a comparative analysis of the slope sliding surface positions and the comprehensive safety factors for three different types of reduction modes with two types of methods, the rationality and reliability of this method were validated.
Highlights
The strength reduction finite element method provides incomparable advantages over the limit equilibrium method
Since 1975, when Zienkiewicz et al [1] proposed the strength reduction finite element method, many scholars have performed a considerable number of studies in this research area
The safety factor of the slope can be defined as the ratio between the actual cohesion of the sliding surface soil and the cohesion required for display on the sliding surface when the slope can attain the limit equilibrium state
Summary
The strength reduction finite element method provides incomparable advantages over the limit equilibrium method. The blindness of the assumed proportional relationship between the cohesion reduction factor and the internal friction angle reduction factor for the existing double reduction factors method can be overcome This method can ensure the presence of two states in the process of strength reduction: the peak value state and the residual state. The application of UFIELD has successfully determined the nonproportional correlative reduction finite element method for slope strength parameters based on the field variable and mainly includes the following three steps [30]:. (11) is substituted to obtain the internal friction angle safety factor
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