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Localisation analysis in masonry using Transformation Field Analysis

par Chettah, Ameur ;Mercatoris, Benoît ;Sacco, Elio;Massart, Thierry,Jacques
Référence Engineering fracture mechanics, 110, page (166-188)
Publication Publié, 2013-10-17

Article révisé par les pairs

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Résumé :

In the present paper, the Transformation Filed Analysis (TFA) methodology is used in the multi-scale analysis of cracking localisation in masonry. The related assumption of uniform inelastic strain field in each sub-domain allows reducing the computational cost of such computations without significantly compromising on solution accuracy. The relations underlying the TFA averaging scheme are recalled. The evaluation of the corresponding consistent tangent homogenised stiffness, required in acoustic tensor-based localisation analysis, is also derived. The average RVE mechanical response is performed for two sets of micro-mechanical material laws for mortar joints, based on both damage and damage coupled with plasticity. For these two sets of fine-scale laws, localisation analyses are performed for RVEs under stress proportional loading, showing that meaningful average localisation orientations are properly detected by the acoustic tensor-based loss of ellipticity criterion. Furthermore, the capability of the pure damage micromechanical model combined with TFA to reproduce the failure envelope of typically running bond masonry subjected to uniform biaxial loads is demonstrated through a comparison with available experimental data. Finally, the energetic aspects for the selection of localised solutions are discussed. As a result, the TFA-based averaging scheme is shown to yield meaningful homogenised localisation results, thereby allowing envisioning its use in nested multi-scale computations.