2015
DOI: 10.1016/j.ijsolstr.2015.05.025
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An efficient solution procedure for crushing failure in 3D limit analysis of masonry block structures with non-associative frictional joints

Abstract: A formulation for limit analysis of three-dimensional masonry structures modelled as rigid block assemblages is presented. A concave contact model is adopted for interfaces, using contact points located at the corners of the interface to represent interactions. A no-tension and non-associative frictional behaviour with limited compressive strength is considered for joints. The limit analysis problem is formulated as a second order cone programming problem (SOCP) and an iterative procedure is proposed to model … Show more

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Cited by 40 publications
(12 citation statements)
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References 27 publications
(50 reference statements)
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“…A finite element analysis was implemented in Abaqus in order to make a comparison with the rigid block limit analysis outcomes in terms of failure modes and load factor promoting collapse. The comparison showed the computational ability of the novel software LiABlock_3D in predicting the failure mechanism and highlighted the importance of a finite compressive strength for a reliable prediction of collapse load factors by limit equilibrium analysis [9,10]. of the 3D model.…”
Section: Discussionmentioning
confidence: 95%
“…A finite element analysis was implemented in Abaqus in order to make a comparison with the rigid block limit analysis outcomes in terms of failure modes and load factor promoting collapse. The comparison showed the computational ability of the novel software LiABlock_3D in predicting the failure mechanism and highlighted the importance of a finite compressive strength for a reliable prediction of collapse load factors by limit equilibrium analysis [9,10]. of the 3D model.…”
Section: Discussionmentioning
confidence: 95%
“…In its most elementary formulation using discrete elements, the problem can be considered as one of unilateral contact between rigid blocks (Fishwick, 1996;Ferris and Tin-Loi, 2001). More recent research (Orduña and Lourenço, 2005) and (Portioli et al, 2015) agree with the method proposed in the fundamental aspects of the formulation of the problem, but do not coincide in the approach to its resolution, the most important difference being that not a single solution but a multiple solution approach is sought. This paper proposes that this multiplicity of solutions is not only a characteristic of the mathematical formulation but also a physical fact that is corroborated by the load tests designed for this purpose.…”
Section: Methods and Backgroundmentioning
confidence: 92%
“…This aspect is particularly interesting for structures reinforced with metallic ties where a concentration of stress could arise. According to several literature contributes [52] a procedure that iteratively modifies the yield surface, by adding a series of new constraints that consider the limited compressive strength of joints, could be introduced. Another further development, that has been recently implemented in the code, is the introduction of contact surfaces with cohesion in the formulation.…”
Section: Discussionmentioning
confidence: 99%