Plastic limit analysis upper-bound method for ultimate bearing capacity of masonry retaining wall

Abstract

The invention discloses a plastic limit analysis upper-bound method for ultimate bearing capacity of a masonry retaining wall, relates to a plastic limit analysis method for solving ultimate bearing capacity of masonry retaining, and belongs to the technical field of side-slope protection projects. The method comprises the steps of taking the masonry retaining wall as a research object; simulating mechanical properties of masonry by adopting a rigid block element based on a theory of the plastic limit analysis upper-bound method; establishing external force overload conditions by taking a displacement rate of the centroid of the block element as an unknown variable and introducing a Rankine earth pressure theory; establishing a kinematically admissible velocity field meeting rigid block unit and mortar layer surface deformation compatibility conditions, plastic flow constraint conditions, internal and external power equality conditions and velocity boundary conditions; building a nonlinear mathematic planning model for solving the ultimate bearing capacity of the masonry retaining; and solving a minimum value of an ultimate load by using an optimization algorithm. The method has the characteristics of definite concept, high calculation precision and the like, and can be applied to the analysis of the bearing capacity of the masonry retaining wall.

Description

Technical field [0001] The invention relates to a plastic limit analysis upper limit method for the ultimate bearing capacity of mortar and masonry soil, and belongs to the technical field of slope protection engineering. Background technique [0002] The protection of slope engineering is one of the important contents of foundation engineering construction, and the mortar-masonry retaining wall is a commonly used slope protection structure in slope engineering. The mortar-masonry retaining wall has many advantages, such as relatively low cost, strong adaptability, high slope protection ability, and simple construction. Because of these advantages, mortar-masonry retaining walls are favored by a large number of slope protection projects. Therefore, it is necessary to study the bearing capacity of the mortar-masonry retaining wall and the mechanical effect of destruction, which has important practical value and theoretical significance. [0003] The mortar-masonry retaining wall is...

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Problems solved by technology

[0005] (1) At present, the mainstream analysis methods for the bearing capacity of masonry retaining walls are based on the limit equilibrium method. Although the limit equilibrium method has been very easy to apply with the efforts of many scholars, it is only applicable to known retaining walls. In the case of the failure mechanism (fracture surface), that is, the fracture surface is artificially assumed before calculation, which is somewhat different from the actual situation, so the limit equilibrium method has certain limitations

[0006] (2) The masonry masonry retaining wall is mainly made of block stones of various shapes and cement mortar. Among them, the block stone will not be damaged due to its high strength, and the damage of the retaining wall generally occurs at the cement mortar layer. Therefore, The masonry masonry retaining wall has highly discontinuous medium characteristics, and its failure mechanism is difficult to determine in the limit state, so a method that can simulate the mechanical properties of the discontinuous medium is needed to solve the ultimate load

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