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Automated geometry extraction and discretization for cohesive zone-based modelling of irregular masonry

par Massart, Thierry,Jacques ;Ehab Moustafa Kamel, Karim ;Hernandez Velazquez, Hector Alonso
Editeur scientifique Ghiassi, Bahman
Référence Numerical Modelling of Masonry and Historical Structures, From Theory to Applications, Elsevier, Cambridge, page (397-422)
Publication Publié, 2019-06-30

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Résumé :

Computational methods have been developed over the past two decades for the analysis of masonry structures based on various kinematical assumptions, solution procedures and constitutive models. Fine scale modelling strategies generally make use of dedicated advanced cohesive zone-based approaches in which the mortar joints behaviour is lumped into interface elements with zero thickness. Such models were extensively used to analyse the cracking behaviour of periodic masonry. Some contributions also applied to a lesser extent interface formulations to irregular masonry textures. Yet, the generation of finite element meshes for the nonlinear behaviour of irregular masonry based on cohesive zone approaches remains a complex task, especially if one wishes to incorporate experimentally obtained irregular geometries. This contribution addresses this issue by outlining an approach allowing the automated generation of cohesive zone-based finite element meshes for complex image-based irregular masonry structures. The methodology is based on combinations of distance fields defined on packings of inclusions or on real images, to extract the medial axis in the mortar phase of irregular masonry. The geometry of this medial axis is then used to build interface elements representing mortar joints. This is achieved by exploiting a distance field-based meshing strategy tailored for complex heterogeneous geometries. The versatility of the proposed approach is illustrated by generating and using interface-based finite element meshes for computationally generated Representative Volume Elements and for realistic irregular masonry mesostructures.