2021/06/24 by Nicola A. Nodargi, Nodargi, Nicola A., Paolo Bisegna +1
Decision Sciences · Engineering · #65N08 #FOS: Mathematics #G.1.8 #Masonry and Concrete Structural Analysis #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Structural Response to Dynamic Loads
paper · pdf · doi:10.48550/arxiv.2106.12982
openalex publication_date 2021/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A static limit analysis approach is proposed for assessing the collapse\ncapacity of axisymmetric masonry domes subject to horizontal forces. The\nproblem formulation is based on the sound theoretical framework provided by the\nclassical statics of shells. After introducing the shell stress tensors on the\ndome mid-surface, integral equilibrium equations are enforced for its typical\npart. Heyman's assumptions of infinite compressive and vanishing tensile\nstrengths are made, with cohesionless friction behavior governing the shear\nstrength, to characterize the admissible stress states in the dome. An original\ncomputational strategy is developed to address the resulting static limit\nanalysis problem, involving the introduction of a mesh on the dome mid-surface,\nthe interpolation of the physical components of the shell stress tensors on the\nelement boundaries, and the imposition of equilibrium and admissibility\nconditions respectively for the elements and at the nodes of the mesh. The\ndescending discrete convex optimization problem is solved by standard and\neffective optimization tools, automatically providing collapse multiplier of\nhorizontal forces, incipient collapse mechanism and expected crack pattern.\nConvergence analysis, validation with experimental results available in the\nliterature, and parametric analyses with respect to geometric parameters and\nfriction coefficient, are presented for spherical and ellipsoidal masonry\ndomes, proving the reliability of the proposed approach for estimating the\npseudo-static seismic resistance of masonry domes.\n