A solution for the frictional resistance in macro-block limit analysis of non-periodic masonry

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A solution for the frictional resistance in macro-block limit analysis of non-periodic masonry
Journal
Structures
Title
A solution for the frictional resistance in macro-block limit analysis of non-periodic masonry
Authors
M. F. Funari, B. Pulatsu, S. Szabó, P. B. Lourenço
Date
September 18, 2022
Highlights
  • An analytical LA model is proposed which model uses the definition of easy detectable geometrical parameters.
  • The analytical model is independent from most mechanical parameters and does not require high computational power, making this tool particularly suitable for the assessment of a considerable number of structures in no time.
  • The proposed analytical model can assess the structural performance of walls characterised by different masonry patterns in a given wall.
ABSTRACT

This paper proposes a general equation to assess the crack inclination upper threshold when non-periodic textures characterise masonry walls. The proposed formulation introduces the computation of the frictional resistance at the macro-block interface by evaluating two masonry quality indexes, i.e., vertical and horizontal lines of trace. The proposed equation is adopted in conjunction with a macro-block limit analysis formulation in which the failure mechanism is parametrised and formulated according to the upper bound limit analysis theorem, coupled with a heuristic solver that is able to minimise the load multiplier and identify the geometry of the associated macro-block. The proposed analytical model is verified in a number of case studies by comparing advanced DEM simulations and numerical results arising from the literature.

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