In this contribution we discuss a new framework for the analysis of the bearing capacity of masonry structures, modeled as assemblies of rigid blocks, which allows to correctly take into account the influence of foundation settlements. The crack pattern at failure and the associated mechanism are described by means of a proper treatment of unilateral contact constraints arising between contiguous rigid blocks, in which the structure is partitioned. We extend two classic variational formulations for the Signorini problem, namely the minimum of the total potential energy and a boundary complementary formulation where the unknowns are contact pressures only, to the case of the contact between multiple rigid no-tension masonry bodies, for which Heyman hypotheses are satisfied. The discretization of these two variational formulations leads to two dual linear programming problems. While the first one is classical and maximizes the work of external loads, the second one minimizes the work of constraint reactions for the assigned displacements and it appears new in the literature.

On unilateral contact between rigid masonry blocks

Tralli A.
Primo
;
Chiozzi A.
Secondo
;
Grillanda N.
Penultimo
;
Milani G.
Ultimo
2020

Abstract

In this contribution we discuss a new framework for the analysis of the bearing capacity of masonry structures, modeled as assemblies of rigid blocks, which allows to correctly take into account the influence of foundation settlements. The crack pattern at failure and the associated mechanism are described by means of a proper treatment of unilateral contact constraints arising between contiguous rigid blocks, in which the structure is partitioned. We extend two classic variational formulations for the Signorini problem, namely the minimum of the total potential energy and a boundary complementary formulation where the unknowns are contact pressures only, to the case of the contact between multiple rigid no-tension masonry bodies, for which Heyman hypotheses are satisfied. The discretization of these two variational formulations leads to two dual linear programming problems. While the first one is classical and maximizes the work of external loads, the second one minimizes the work of constraint reactions for the assigned displacements and it appears new in the literature.
2020
978-3-030-41056-8
978-3-030-41057-5
Linear programming, Masonry, Rigid blocks, Unilateral contact, Variational formulations
File in questo prodotto:
File Dimensione Formato  
Proceedings of XXIV AIMETA Conference 2019.CHIOZZI.pdf

solo gestori archivio

Descrizione: versione editoriale
Tipologia: Full text (versione editoriale)
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 1.23 MB
Formato Adobe PDF
1.23 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2421942
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact