A limit analysis approach for masonry domes: the basilica of San Francesco di Paola in Naples

2019 ◽  
Vol 4 (3) ◽  
pp. 227
Author(s):  
Claudia Cennamo ◽  
Concetta Cusano ◽  
Maurizio Angelillo
Keyword(s):  
Limit Analysis ◽  
Analysis Approach ◽  
Masonry Domes

scholarly journals A finite difference method for the static limit analysis of masonry domes under seismic loads

Meccanica ◽  
2021 ◽  
Author(s):  
Nicola A. Nodargi ◽  
Paolo Bisegna
Keyword(s):  
Stress State ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Limit Analysis ◽  
Difference Method ◽  
Moment Tensor ◽  
Static Limit ◽  
Shear Response ◽  
Masonry Domes ◽  
Seismic Forces

AbstractThe static limit analysis of axially symmetric masonry domes subject to pseudo-static seismic forces is addressed. The stress state in the dome is represented by the shell stress resultants (normal-force tensor, bending-moment tensor, and shear-force vector) on the dome mid-surface. The classical differential equilibrium equations of shells are resorted to for imposing the equilibrium of the dome. Heyman’s assumptions of infinite compressive and vanishing tensile strength, alongside with cohesive-frictional shear response, are adopted for imposing the admissibility of the stress state. A finite difference method is proposed for the numerical discretization of the problem, based on the use of two staggered rectangular grids in the parameter space generating the dome mid-surface. The resulting discrete static limit analysis problem results to be a second-order cone programming problem, to be effectively solved by available convex optimization softwares. In addition to a convergence analysis, numerical simulations are presented, dealing with the parametric analysis of the collapse capacity under seismic forces of spherical and ogival domes with parameterized geometry. In particular, the influence that the shear response of masonry material and the distribution of horizontal forces along the height of the dome have on the collapse capacity is explored. The obtained results, that are new in the literature, show the computational merit of the proposed method, and quantitatively shed light on the seismic resistance of masonry domes.

Ultimate strength of pin-loaded composite laminates: A limit analysis approach

2011 ◽  
Vol 93 (4) ◽  
pp. 1217-1224 ◽  
Author(s):  
Oualid Limam ◽  
Gilles Foret ◽  
Hatem Zenzri
Keyword(s):  
Ultimate Strength ◽  
Limit Analysis ◽  
Composite Laminates ◽  
Analysis Approach

POST-CRITICAL BEHAVIOR OF MODERATELY THICK AXISYMMETRIC SHELLS: A SEQUENTIAL LIMIT ANALYSIS APPROACH

2001 ◽  
Vol 01 (03) ◽  
pp. 293-311 ◽  
Author(s):  
LEONE CORRADI ◽  
NICOLA PANZERI ◽  
CARLO POGGI
Keyword(s):  
Critical Behavior ◽  
Limit Analysis ◽  
Large Deformations ◽  
Material Behavior ◽  
Large Displacement ◽  
Analysis Approach ◽  
Rigid Plastic ◽  
Axisymmetric Shells ◽  
Energy Absorbers ◽  
Displacement Effects

The design of some steel shells, like energy absorbers or bumpers, requires the knowledge of their behavior in large deformations. In this paper, the method of sequential limit analysis is presented and applied to axisymmetric shells in order to study their post-collapse response. Although the material behavior is assumed as rigid-plastic, results compare favorably with those produced by elastic-plastic incremental analyses and the procedure appears to be more efficient and numerically stable. Large displacement effects, both of stable and unstable nature, are implicitly accounted for by mesh updating.

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