Analysis method of ultimate bearing capacity of strip footing on the filling foundation in a U-shaped groove

Subjects: Mechanics >> Solid Mechanics submitted time 2023-06-21 Cooperative journals: 《应用力学学报》

齐远 肖世国

Abstract：
The ultimate bearing capacity of strip footing on the filling foundation in a U-shaped groove is an important problem in engineering practice.In order to determine its theoretical analysis method reasonably,two kinds of potential failure modes are put forward based on the upper-bound limit analysis theory and the Hill mechanism combined with the symmetry of the U-shaped groove structure.The balance equation between internal and external powers is derived and established,which can reflect the relationship between the bearing capacity and four independent valuables.Considering the geometrical conditions and kinematic constraints of the failure mechanisms,a nonlinear programming solution of the bearing capacity is carried out via the Matlab programming optimization algorithm.Analysis results of a practical example show that the bearing capacity of the filling foundation decreases nonlinearly with the increase of the relative width of the U-shaped groove,and the foundation in the U-shaped groove is equivalent to semi-infinite ground when the relative width reaches a high value.The influence characteristics in cohesive filling are similar to those in cohesionless one.Besides,as the relative width of U-shaped groove decreases,the failure mode of the filling retracts into the interior of the groove gradually,and the interface between the log-spiral zone and passive zone in the failure mechanism changes progressively from the continuous velocity boundary to discontinuous one.However,the rotation center of the log-spiral is always located at the boundary point of the strip load.

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