Localisation analysis in masonry using transformation field analysis

Homogenisation; Localisation; Masonry; Material bifurcation; Transformation field analysis; Localisation analysis; Multi scale analysis; Representative volume element (RVE); Finite element analysis

Abstract :

[en] Transformation field analysis is used for the multi-scale analysis of cracking localisation in masonry. The evaluation of the corresponding consistent homogenised tangent stiffness required in acoustic tensor-based localisation analysis is derived. The average representative volume element mechanical response is studied for two sets of micro-mechanical material laws for mortar joints, based on damage and damage coupled with plasticity. Localisation analyses for stress proportional loading show that meaningful average localisation orientations are properly detected by the acoustic tensor-based loss of ellipticity criterion. The ability of the procedure to reproduce the failure envelope of running bond masonry subjected to uniform biaxial loads is demonstrated. The energetic aspects for the selection of localised solutions are discussed. It is shown that transformation field analysis yields meaningful homogenised localisation results, thereby allowing envisioning its use in nested multi-scale computations. © 2013 Elsevier Ltd.

Disciplines :

Materials science & engineering
Mechanical engineering

Author, co-author :

Chettah, A.; Building, Architecture and Town Planing Department, Université Libre de Bruxelles (ULB), CP 194/2, Av. F.-D. Roosevelt 50, 1050 Brussels, Belgium

Mercatoris, Benoît ; Université Libre de Bruxelles - ULB > Building, Architecture and Town Planning Dept.

Sacco, E.; Department of Civil and Mechanical Engineering, University of Cassino and of the Southern Lazio, Via G. Di Biasio 43, 03043 Cassino, Italy

Massart, T. J.; Building, Architecture and Town Planing Department, Université Libre de Bruxelles (ULB), CP 194/2, Av. F.-D. Roosevelt 50, 1050 Brussels, Belgium

Language :

English

Title :

Localisation analysis in masonry using transformation field analysis

Publication date :

2013

Journal title :

Engineering Fracture Mechanics

ISSN :

0013-7944

eISSN :

1873-7315

Publisher :

Elsevier

Volume :

110

Pages :

166-188

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 08 January 2014

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