Limit analysis

Limit analysis is a structural analysis field which is dedicated to the development of efficient methods to directly determine estimates of the collapse load of a given structural model without resorting to iterative or incremental analysis. For this purpose, the field of limit analysis is based on a set of theorems, referred to as limit theorems, which are a set of theorems based on the law of conservation of energy that state properties regarding stresses and strains, lower and upper-bound limits for the collapse load and the exact collapse load.

Limit analysis is a structural analysis field which is dedicated to the development of efficient methods to directly determine estimates of the collapse load of a given structural model without resorting to iterative or incremental analysis. For this purpose, the field of limit analysis is based on a set of theorems, referred to as limit theorems, which are a set of theorems based on the law of conservation of energy that state properties regarding stresses and strains, lower and upper-bound limits for the collapse load and the exact collapse load. f_i=\lambda f_0 The basic idea of limit analysis is to determine the value of the load multiplier that brings a structure to the condition of incipient collapse. The problem is therefore to determine the critical value \lambda=\lambda_c at which the system reaches the condition of incipient collapse. the plastic flow rule is associated, meaning that the plastic potential coincides with the yield function ( F=G ); the plasticity function is convex; the strains are sufficiently small to allow the equilibrium equations to be written in the undeformed configuration. \lambda_c = \lambda_{st} = \lambda_{cin} ==Software for limit analysis== OPTUM G2 (2014-) General purpose software for geotechnical applications in 2D (also includes elastoplasticity, seepage, consolidation, staged construction, tunneling, and other relevant geotechnical analysis types). OPTUM G3 (2018-) General purpose software for geotechnical applications in 3D (also includes other relevant geotechnical analysis types). OPTUM CS (Concrete Solutions) (2019-) 3D design and analysis software for both pre-cast and in-situ concrete (also includes elastoplasticity). OPTUM MP (2019-) Free 2D concrete slab design and analysis software. LimitState:GEO (2008-) General purpose geotechnical software limit analysis application. Uses discontinuity layout optimization. LimitState:SLAB (2015-) Limit analysis software application for slabs. Uses discontinuity layout optimization. ==References==

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