Upscaling of Textile-Reinforced Concrete Shells Using Computational Homogenization and Effective Sectional Constitutive Modeling
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Textile-Reinforced Concrete (TRC) exhibits pronounced nonlinear behavior due to concrete cracking and crushing, as well as slip between the yarns and the concrete and between filaments within the yarns. Existing structural-scale models for TRC primarily rely on layered shell formulations, either phenomenologically calibrated from experiments [1] or based on microplane damage mechanics [2]. While these approaches can reproduce the strain-hardening response of TRC, their applicability to cyclic loading and detailed prediction of cracking behavior remains limited. To address these challenges, this contribution presents a comprehensive multiscale modeling framework for TRC, combining computational homogenization and surrogate constitutive modeling. Building on a recently developed homogenization approach [3], representative volume elements are employed at the meso-scale to explicitly resolve the concrete matrix and textile reinforcement. Bond and interfilament slip are captured using a one-dimensional bond–slip formulation with calibrated efficiency factors [4], while concrete cracking and crushing are described by a Mazars-type damage model. Upscaling to the structural scale is performed using Variationally Consistent Homogenization (VCH), with prolongation and homogenization operators derived for Kirchhoff–Love plate kinematics. The framework is validated against direct numerical simulations and analytical solutions, demonstrating accurate prediction of effective membrane forces and bending moments. To further improve computational efficiency, an effective sectional constitutive damage model is proposed. The model is formulated directly in terms of generalized sectional quantities, eliminating throughthickness integration and explicit evaluation of local material behavior. Calibration and validation against RVE-based TRC simulations show that the model accurately reproduces axial force and bending moment responses under non-proportional loading, while achieving a two-order-of-magnitude reduction in computational cost with errors below 5%. The framework provides a physically consistent and efficient basis for the analysis of TRC structures and offers a promising foundation for extending sectional surrogate concepts to two-dimensional plate formulations. REFERENCES [1] El Kadi M., Tysmans T., Verbruggen S., Vervloet J., De Munck M., Wastiels J., Van Hemelrijck D., A layered-wise, composite modelling approach for fibre textile reinforced cementitious composites
