A computational homogenization approach for the study of localization of masonry structures using the XFEM
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A computational homogenization method is presented in this article, for the investigation of localization phenomena arising in periodic masonry structures. The damage of the macroscopic, structural scale is represented by cohesive cracks, simulated by the extended finite element method. The cohesive traction–separation law along these cracks is built numerically, using a mesoscopic, fine scale, masonry model discretized by classical finite elements. It consists of stone blocks and the mortar joints, simulated by unilateral contact interfaces crossing the boundaries of the mesoscopic structure, assigned a tensile traction–separation softening law. The anisotropic damage induced by the mortar joints can be depicted by this method. In addition, the non-penetration condition between the stone blocks is incorporated in the averaging relations. Sophisticated damage patterns, depicted by several continuous macro-cracks in the masonry structure, can also be represented by the proposed approach. Finally, results are compared well with experimental investigation published in the literature.
KeywordsMasonry Localization XFEM Homogenization Multi-scale Unilateral contact
- 7.Kouznetsova, V.: Computational Homogenization for the Multi-scale Analysis of Multi-phase Materials. Ph.D. thesis, Technical University Eindhoven, The Netherlands (2002)Google Scholar
- 49.Raijmakers, T.M.J., Vermeltfoort, A.T.: Deformation controlled meso shear tests on masonry piers, Rep. B-92-1156. TU Eindhoven, Build. and Constr. Res., Eindhoven, The Netherlands (1992)Google Scholar
- 50.Vermeltfoort, A.T., Raijmakers, T.M.J., Janssen, H.J.M.: Shear tests on masonry walls. In: Proceedings of 6th North America Masonry Conference, Philadelphia, USA, pp. 1183–1193 (1993)Google Scholar