Title : Anisotropic stiffness matrix of bed joint mesh-reinforced masonry: A numerical homogenization approach
Abstract:
This research introduces an advanced computational framework to derive the complete anisotropic stiffness matrix of masonry reinforced with steel mesh, explicitly addressing the mechanical influence of the reinforcement. The core of the methodology is a finite element-based homogenization procedure applied to a rigorously calibrated 7-course Representative Volume Element (RVE). A pivotal finding is the revelation of a significant asymmetry in the normal stressstrain coupling coefficients (D₁₂ ≠ D₂₁), a phenomenon induced by the mesh and not captured by conventional micromechanical models or standard design codes. Comprehensive validation demonstrates excellent agreement between the homogenized and detailed heterogeneous models, with a maximum error for all stress components below 5.3% and correlation coefficients exceeding 0.95. A comparative analysis confirms the method's superior predictive capability, showing a 40–60% improvement in accuracy over classical Voigt-Reuss schemes and a significant advantage versus the simplified isotropic approximations in major design codes (Eurocode 6, ACI 530, SP 15.13330). Furthermore, the model quantifies a key mechanical benefit: mesh reinforcement reduces shear stress localization by 15–20%. The developed methodology provides a reliable and physically justified foundation for the advanced numerical analysis and design of complex reinforced masonry structures under combined loading conditions.
Keywords: reinforced masonry, homogenization method, effective stiffness coefficients, representative volume element (RVE), finite element analysis, anisotropic material, mesh reinforcement, structural mechanics, numerical modeling, composite materials.
