Title : A novel numerical homogenization method for determining the full anisotropic stiffness matrix of mesh-reinforced masonry
Abstract:
This study presents a novel numerical homogenization methodology for determining the full matrix of effective stiffness coefficients of masonry walls reinforced with mesh materials. The proposed approach is based on a finite element analysis of a rigorously validated 7-course Representative Volume Element (RVE). Unlike classical micromechanical models and normative design codes (e.g., Eurocode 6, ACI 530), this method explicitly accounts for the specific effects of mesh reinforcement, including the resulting critical asymmetric coupling between normal and shear stresses (D?? ≠ D??).
The derived stiffness matrix of the equivalent anisotropic homogeneous material is validated through comprehensive numerical simulations, showing excellent agreement with the heterogeneous model—errors for all stress components do not exceed 5.3%, with correlation coefficients above 0.95. A comparative analysis demonstrates a 40-60% improvement in prediction accuracy over standard Voigt-Reuss approaches and a significant advantage over simplified isotropic approximations. The results quantify a key mechanical benefit of reinforcement: a 15-20% reduction in shear stress localization.
The developed methodology provides a reliable, physically justified, and efficient foundation for the advanced numerical analysis and design of complex reinforced masonry structures under combined loading conditions, filling a pronounced gap in methodologies for modern reinforced masonry.
