Static and dynamic nonlinear response of masonry walls

Gatta, Cristina; Addessi, Daniela; Vestroni, Fabrizio

doi:10.1016/j.ijsolstr.2018.07.028

Cited by 50 publications

(44 citation statements)

References 31 publications

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“…In particular, especially in the cases in which the out of plane mechanisms can be considered absent [4], the role of the in plane behavior of masonry elements (piers and spandrels) and their interaction with the horizontal structural elements is a key one [5,6]. Given the importance of the masonry heritage and in view of its rehabilitation, efficient and consistent tools are needed [7], especially constitutive models able to describe the complex patterns of cracks after static and dynamic actions [8,9,10]. Several constitutive models have been proposed in the last decades to describe the behaviour of masonry, and among them a preminent role can be assigned to the No-Tension (NT) model.…”

Section: Introductionmentioning

confidence: 99%

Minimum energy strategies for the in-plane behaviour of masonry

Gesualdo

Calderoni

Iannuzzo

et al. 2019

Frattura Ed Integrità Strutturale

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Unreinforced masonry is the most diffused construction material in the major part of historical centers in Europe. In a building subjected to earthquake forces the contribution of in-plane shear resistance of the masonry walls is a determinant factor for the stability of the whole structure. In particular, the masonry piers are the structural elements subjected to the combination of normal and shear forces. In general, ductile tools to model the in plane behaviour of masonry are always welcome in order to evaluate the capacity of walls subjected to vertical and horizontal actions. In this framework, two no-tension approaches to model the behaviour of masonry walls loaded with in-plane forces, involving a minimum energy procedure, are presented. Both the procedures allow the representation of the stress maps in the panel in case of monotonic increase of shear load. The results of the numerical analyses are compared and discussed.

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Section: Introductionmentioning

confidence: 99%

Minimum energy strategies for the in-plane behaviour of masonry

Gesualdo

Calderoni

Iannuzzo

et al. 2019

Frattura Ed Integrità Strutturale

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“…The present work addresses a generalization of the mixed membrane eight‐node quadrilateral finite element proposed in our previous work to the nonlinear analysis of in‐plane loaded masonry walls. Although the formulation is of general validity with respect to masonry constitutive law, provided a 2D stress‐strain relationship is considered, the nonlocal damage‐plastic model recently proposed by Gatta et al is adopted. The element derivation is based on a Hu‐Washizu–type formulation, assuming displacement, strain, and stress fields as independent variables.…”

Section: Introductionmentioning

confidence: 99%

“…Among them, it is worth mentioning discrete element approaches, 1-6 micromechanical approaches, 7,8 multiscale/homogenization approaches, [9][10][11] and macromechanical/phenomenological approaches. [12][13][14][15][16] Those modeling strategies are characterized by different scales of analysis. In particular, when the focus is towards large-scale real structures, multiscale and macromechanical approaches appear as promising options, as reducing masonry material to an equivalent homogenized medium, characterized by a nonlinear and history-dependent stress-strain relationship.…”

Section: Introductionmentioning

confidence: 99%

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A mixed finite element for the nonlinear analysis of in‐plane loaded masonry walls

Nodargi

Bisegna

2019

Numerical Meth Engineering

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Summary A mixed membrane eight‐node quadrilateral finite element for the analysis of masonry walls is presented. Assuming that a nonlinear and history‐dependent 2D stress‐strain constitutive law is used to model masonry material, the element derivation is based on a Hu‐Washizu variational statement, involving displacement, strain, and stress fields as primary variables. As the behavior of masonry structures is often characterized by strain localization phenomena, due to strain softening at material level, a discontinuous, piecewise constant interpolation of the strain field is considered at element level, to capture highly nonlinear strain spatial distributions also within finite elements. Newton's method of solution is adopted for the element state determination problem. For avoiding pathological sensitivity to the finite element mesh, a novel algorithm is proposed to perform an integral‐type nonlocal regularization of the constitutive equations in the present mixed formulation. By the comparison with competing serendipity displacement‐based formulation, numerical simulations prove high performances of the proposed finite element, especially when coarse meshes are adopted.

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“…These models establish proper relationships between average masonry strains and stresses, commonly making use of constitutive laws with damage and plasticity inner variables. Despite isotropic models are largely adopted [9,10,11], because of their simplicity and reduced number of material parameters needed, these do not allow to describe the anisotropic nature of the response, typical of masonry with regular texture in which mortar joints act as plane of weakness. Thus, the most advanced macromodels account for the substantial discrepancy among mechanical properties observed in different material directions by making use of anisotropic plasticity or damage formulations [12,13,14].…”

Section: Introductionmentioning

confidence: 99%