Generalized limit analysis in poroplasticity by mathematical programming |
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Authors: | Raffaele Ardito Giuseppe Cocchetti Giulio Maier |
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Institution: | 1. Department of Structural Engineering, Politecnico di Milano, piazza Leonardo da Vinci 32, 20133, Milan, Italy
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Abstract: | Classical limit analysis of structures by the statical approach computationally means maximization of a load multiplier under
equilibrium and yield condition constraints, namely convex mathematical programming. In elastoplasticity, generalizations
of limit analysis had been proposed in order to achieve, still by load factor constrained optimization, the safety factor
with respect to plastic collapse. This paper presents similar generalization in two-phase poroelastoplasticity. A method is
here developed (and validated by numerical application to a masonry dam) apt to assess the safety factor of a structure interpretable
as a poroplastic system, with respect to both plastic collapse and critical thresholds on deformations, by solving a nonconvex
nonsmooth constrained optimization problem usually referred to in the literature as “mathematical program under equilibrium
constraints”. Piece-wise linearization of yield surfaces and reduction of yield planes by a “sifting” procedure are adopted
to reduce computing efforts. |
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