A numerical method for the limit analysis of masonry structures

Degl'Innocenti S., Padovani C.

Finite elements  Building and Construction  Civil and Structural Engineering  Mechanics of Materials  Masonry structures  Limit analysis  Mechanical Engineering 

The paper presents a numerical method for the limit analysis of structures made of a rigid no-tension material. Firstly, we formulate the constrained minimum problem resulting from the application of the kinematic theorem, which characterizes the collapse multiplier as the minimum of all kinematically admissible multipliers. Subsequently, by using the finite element method, we derive the corresponding discrete minimum problem in which the objective function is linear and the inequality constraints are linear as well as quadratic. The method is then applied to some examples for which the collapse multiplier and a collapse mechanism are explicitly known. Lastly, the solution to the minimum problem calculated via numerical codes for quadratic programming problems, is compared to the exact solution.

Source: Structural Engineering and Mechanics 18 (2004): 1–20. doi:10.12989/sem.2004.18.1.001

Publisher: Techno-Press., Taejon, Corea del Sud

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