A mixed equilibrated curved beam finite element for no-tension arches
摘要
This study presents a novel curved mixed hybrid finite element that has been specifically developed for modeling and analyzing masonry arches with arbitrary geometries. Based on a two-field Hellinger-Reissner variational formulation, the stress is treated as independent interpolation field. This addresses the key limitations of classical displacement-based formulations, such as locking and poor stress prediction, especially in curved configurations. The Masonry-like Elastic No-Tension constitutive model is adopted to capture the distinct mechanical properties of historical masonry, such as its negligible tensile strength. The performance of the suggested approach is validated through comprehensive numerical simulations of parabolic, elliptical and pointed arches. A sensitivity analysis was also conducted to evaluate its robustness and accuracy. The results demonstrate the effectiveness of the element in representing complex geometries and failure mechanisms, while delivering computational efficiency, establishing it as a valuable tool for analyzing historical masonry arches.