The Maximum Modulus Eccentricities Surface for Masonry Vaults and Limit Analysis

Luccmmsi, M.; Padovani, Cristina; Pasquinelli, Giuseppe; Zani, Nicola

doi:10.1177/108128659900400105

Cited by 26 publications

(16 citation statements)

References 4 publications

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“…To this end, suitable numerical techniques have been developed [Lucchesi et al 1994]. The constitutive models and the numerical method studied have therefore been implemented into the finite element code NOSA [Lucchesi et al 2000] developed at the Institute of Information Science and Technologies (ISTI) in Pisa. NOSA enables determination of the stress state and the presence of any cracking, as well as the modeling of any potential strengthening and restoration work, such as, for example, the fitting of rods and reinforcement rings.…”

Section: Introductionmentioning

confidence: 99%

Static analysis of masonry vaults, constitutive model and numerical analysis

Lucchesi

Padovani

Pasquinelli

et al. 2007

JOMMS

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The paper deals with some of the explicit and numerical methods used for modeling the mechanical behavior of masonry vaults and domes. After a brief description of the constitutive equation of masonrylike materials, a numerical method for the structural analysis of masonry vaults is presented. Then, the concept of maximum modulus eccentricity surface for masonry vaults is recalled. Subsequently, the collapse load and the corresponding mechanism are explicitly calculated for two particular cases: a circular plate subjected to a permanent load acting on the lateral surface and a variable vertical load applied to the extrados, and a spherical dome subjected to its own weight and variable point load applied to the keystone. The exact solutions are compared to the numerical results obtained via finite element analysis. Lastly, a study of the dome of the church of Santa Maria Maddalena in Morano Calabro is described. The method has enabled the stress field and the fractures distribution in the dome to be determined and the maximum modulus eccentricity surface to be evaluated.

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Section: Introductionmentioning

confidence: 99%

Static analysis of masonry vaults, constitutive model and numerical analysis

Lucchesi

Padovani

Pasquinelli

et al. 2007

JOMMS

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“…1 The expression for these same quantities presented in [Lucchesi et al 1999] contained errors which are corrected here.…”

Section: The Maximum Modulus Eccentricity Surfacementioning

confidence: 99%

“…The only points p where M is not defined are those for which two values γ 0 and γ 1 exist that maximize the function |e(p, γ )| with e(p, γ 0 ) = −e(p, γ 1 ). In the particular case in which the vault's geometry and loads possess axial symmetry, then the eccentricity can attain its maximum modulus only in the direction of parallels or meridians [Lucchesi et al 1999]. Note that, in view of inequality in Equation (4), the m.m.e.s.…”

Section: The Maximum Modulus Eccentricity Surfacementioning

confidence: 99%

“…For both cases, we determine the exact solution and then, for the sake of comparison, conduct a finite element analysis by increasing the variable load until it is no longer possible to find an admissible (that is, negative semidefinite at each point of the structure) equilibrated stress field. The reader is referred to [Del Piero 1998] for a general treatment of the limit analysis of masonry-like materials and to [Lucchesi et al 1999] for the definitions and the results concerning the limit analysis of masonry vaults. Last, we describe the study conducted via the NOSA code on the dome and the drum of the Church of Santa Maria Maddalena in Morano Calabro.…”

Section: Examplesmentioning

confidence: 99%

“…We aim to determine the collapse multiplier λ c . To this end, for λ > 0 we determine an admissible internal forces field equilibrated with the load c 0 + λc 1 and then find the multiplier λ = λ c , such that there is a collapse mechanism corresponding to the internal forces equilibrated with c 0 + λ c c 1 [Lucchesi et al 1999]. Let Q, N r , N θ , M r and M θ be respectively the shear, radial and circumferential normal forces, and the radial and circumferential bending moment per unit length.…”

Section: Examplesmentioning

confidence: 99%

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See inside back cover or http://www.jomms.org for submission guidelines.Regular subscription rate: $500 a year. Stiffness based sorting of mixed paper waste at high speed is desirable for sorting board, cardstock, and paper from each other for efficient recycling. We propose a quick, non-contact method for measuring the relative stiffness of paper samples moving on a conveyor at high speeds. The method consists of impinging an air jet on a moving paper sample while it is crossing a gap during transfer from one conveyor belt to another. The deflection caused by the impinging air jet can be measured and used to categorize different grades of paper. In this paper, we report results from a simulation of the proposed method using a finite element model. Influence of conveyor speed, sample orientation and nozzle pressure is studied using the model. Results indicate that the stiffness estimation has sufficient resolution to distinguish between board and paper grades at high conveyor speeds.

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Analysis of masonry arches and vaults

Boothby

2001

Progress Structural Eng Maths

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A growing interest in the preservation of historic structures has created a need for methods for the analysis of load-bearing unreinforced masonry structures, such as arches, vaults, and buttresses. Although the plasticity methods, first applied to medieval structures in detail by Heyman, provide a useful and intuitive approach to the understanding of the behaviour of masonry arches and vaults, their usefulness in performing actual assessments of such structures has limitations. The constitutive laws of the materials used in masonry structures are not always amenable to accurate treatment by the rigid`plastic simplification, and the complexity of many vaulted masonry structures makes the application of these methods difficult. Moreover, empirical studies have shown that these structures may be subject to three-dimensional effects that are not entirely addressed by the application of plastic or elastic analysis in two dimensions. Progress has been made recently in the development of constitutive laws for ancient masonry structures and in the application of these to the analysis of unreinforced masonry structural systems. Various formulations of three-dimensional finite element analysis, including discrete element methods, and plasticity methods have also proven useful.

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The Maximum Modulus Eccentricities Surface for Masonry Vaults and Limit Analysis

Cited by 26 publications

References 4 publications

Static analysis of masonry vaults, constitutive model and numerical analysis

Static analysis of masonry vaults, constitutive model and numerical analysis

Untitled

Analysis of masonry arches and vaults

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