Collapse behaviour of three-dimensional brick-block systems using non-linear programming

Baggio, Carlo; Trovalusci, Patrizia

doi:10.12989/sem.2000.10.2.181

Cited by 92 publications

(57 citation statements)

References 19 publications

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“…Of particular interest with respect to the work presented here are the formulations of the problem in terms of mathematical programming [13][14][15][16][17][18][19]. Within these approaches the blocks are treated as nodes and the interfaces as elements of a conventional finite element discretization (discrete element modeling).…”

Section: Introductionmentioning

confidence: 99%

Experimental and analytical investigation on the frictional contact behavior of 3D masonry block assemblages

Casapulla

Portioli

2015

Construction and Building Materials

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Section: Introductionmentioning

confidence: 99%

Experimental and analytical investigation on the frictional contact behavior of 3D masonry block assemblages

Casapulla

Portioli

2015

Construction and Building Materials

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“…A suitable fine description of masonry assemblies can be obtained using a discrete model, composed of interacting rigid or deformable blocks [1][2][3][4]. However, this approach rapidly becomes so numerically cumbersome as to require the formulation of an equivalent continuum, which might provide a macroscopic coarse description of the fine discrete model.…”

Section: Introductionmentioning

confidence: 99%

Block masonry as equivalent micropolar continua: the role of relative rotations

Pau

Trovalusci

2012

Acta Mech

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A description of brick/block masonry by continua equivalent to discrete systems made of blocks of different geometry and texture is proposed in this paper. Here, the reasons for the selection of a micropolar continuum with respect to the classical continuum are discussed. As recent research in various micromorphic multifield formulations shows, the problem of the choice of the most appropriate continuum to model masonry mechanical behavior is still open, and the advantages of non-classical continuum modeling are not yet completely ascertained. Earlier analyses performed on masonry panels in the presence of load and geometrical singularities pointed out the significant role of the additional degree of freedom of the micropolar continuum (microrotation) and of its gradient. The present study aims to expand the investigation into the consequences of changes in blocks' shape, size and arrangement on the response of block masonry panels under shear forces. This analysis points out the greater effectiveness of micropolar models in capturing the gross structural response of masonry, with respect to the classical modeling. The cases analyzed herein show that apart from the very peculiar case of orthotetragonal symmetry, not only the gradient of microrotation but also the relative rotation between the local rigid rotation and the microrotation, to which relevant non-symmetric strains correspond, are predominant in the majority of the performed numerical tests. Models lacking in these strain measures are therefore inappropriate. The results obtained, ascertained by analyses performed on discrete block assemblies, point out that the micropolar continuum provides a proper description of the masonry behavior. Moreover, the differences between micropolar and classical models remain when the internal lengths vanish.

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“…Nevertheless, Livesley's pioneering initial study of nonassociative friction stimulated a line of research [13][14][15][16][17] concerned with developing numerical procedures for such problems. One of these was given by Lo Bianco and Mazzarella [13], followed by Baggio et al [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…One of these was given by Lo Bianco and Mazzarella [13], followed by Baggio et al [14,15]. Here the nonassociative problem was solved using procedures which involved identifying load factors simultaneously satisfying the kinematic and static conditions.…”

Section: Introductionmentioning

confidence: 99%

Limit analysis of masonry block structures with non-associative frictional joints using linear programming

Gilbert

Casapulla

Ahmed

2006

Computers & Structures

233

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Collapse behaviour of three-dimensional brick-block systems using non-linear programming

Cited by 92 publications

References 19 publications

Experimental and analytical investigation on the frictional contact behavior of 3D masonry block assemblages

Experimental and analytical investigation on the frictional contact behavior of 3D masonry block assemblages

Block masonry as equivalent micropolar continua: the role of relative rotations

Limit analysis of masonry block structures with non-associative frictional joints using linear programming

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