Fast kinematic limit analysis of masonry vaults: A new ga-nurbs based approach

Abstract eng:
The present paper proposes a new Genetic Algorithm NURBS-based approach for the homogenized limit analysis of masonry vaults based on an upper bound formulation. A given masonry vault geometry can be represented by a NURBS (Non-Uniform Rational B-Spline) parametric surface and a NURBS mesh of the given surface can be generated. Each element of the mesh is a NURBS surface itself and can be idealized as a rigid body. An upper bound limit analysis formulation, which takes into account the main characteristics of masonry material is deduced, with internal dissipation allowed exclusively along element edges. It is proved that, even by using a mesh constituted by very few elements, a good estimate of the collapse load multiplier is obtained provided that the initial mesh is adjusted by means of a Genetic Algorithm (GA), in order to enforce that element edges accurately approximate the actual failure mechanism.

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