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Limit Analysis of Irregular Masonry with Rigid and Deformable Blocks

par Hermans, Yahroun Fei ;Hua, Yiwei;Ehab Moustafa Kamel, Karim ;Massart, Thierry Jacques ;Milani, Gabriele
Référence Lecture notes in computer science, 16758, page (515-532)
Publication Publié, 2026-07-04

Article révisé par les pairs

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Résumé :

The mechanical behavior of masonry assemblies is strongly influenced by the geometry and connectivity of the mortar joint network. While mesoscale modeling approaches are commonly developed for regular bond patterns, the analysis of irregular masonry systems remains comparatively less explored. In particular, the application of deformable element kinematic limit analysis to irregular masonry geometries has received limited attention. In this contribution, irregular masonry patterns are taken directly from an image of real irregular masonry. The geometry is subsequently processed into an interface-based description in which joints are lumped onto zero-thickness interfaces separating adjacent blocks. The resulting assemblies are analyzed using kinematic limit analysis. Both rigid and deformable block formulations are considered, allowing the influence of block deformability on the predicted structural response to be assessed. In the rigid formulation, energy dissipation is confined to the interfaces, whereas in the deformable formulation, dissipation occurs both at the interfaces and within the blocks through in-element plastic deformation. Interfaces between blocks are described using a Mohr-Coulomb failure criterion with a compression cap and tensile cut-off. Collapse loads are computed under combined loading conditions defined by biaxial unequal compression and biaxial unequal compression combined with shear. The resulting solutions provide insight into the collapse mechanisms and structural response of irregular masonry assemblies.