Collapse behavior of masonry domes under seismic loads: An adaptive NURBS kinematic limit analysis approach

2019 ◽  
Vol 200 ◽  
pp. 109517 ◽  
Author(s):  
N. Grillanda ◽  
A. Chiozzi ◽  
G. Milani ◽  
A. Tralli
Keyword(s):  
Limit Analysis ◽  
Analysis Approach ◽  
Seismic Loads ◽  
Kinematic Limit ◽  
Masonry Domes ◽  
Collapse Behavior

On Collapse Behavior of Reinforced Masonry Domes under Seismic Loads

2019 ◽  
Vol 817 ◽  
pp. 275-282
Author(s):  
Nicola Grillanda ◽  
Andrea Chiozzi ◽  
Gabriele Milani ◽  
Antonio Tralli
Keyword(s):  
Seismic Loads ◽  
Reinforced Masonry ◽  
Plastic Dissipation ◽  
Masonry Domes ◽  
Nurbs Surfaces ◽  
Collapse Behavior ◽  
Upper Bound Limit Analysis ◽  
Masonry Dome ◽  
The Church

In this paper, the first result on the collapse behavior of reinforced masonry domes under seismic loads is presented. A certain masonry dome is modeled through NURBS surfaces, which have the great advantage to represent accurately complex geometries. The obtained NURBS model is imported in the MATLAB® environment, in which an initial NURBS mesh is defined. An upper bound limit analysis is applied: each element is idealized as rigid block and eventual plastic dissipation is allowed only along element edges. The minimum of the kinematic multipliers is found by optimizing the NURBS mesh (i.e. modifying the position of fracture lines) through a meta-heuristic algorithm (e.g. a Genetic Algorithm). A reinforcing system made by FRCM fibers is included through additional NURBS surfaces: each new surface represents a strip and exhibits only a tensile contribute in the evaluation of plastic dissipation. The dome of the church of Anime Sante, which collapsed during the L’Aquila earthquake in 2009, is considered as meaningful case study. A standard disposition of FRCM fibers, typically designed for incrementing the vertical load bearing capacity, has been hypothesized. The reinforced dome is analyzed under a horizontal acceleration linear in height and constant in plane and a comparison between the unreinforced and the reinforced case is presented.

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
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