Regularization of first order computational homogenization for multiscale analysis of masonry structures

Petracca, Massimo; Pelà, Luca; Rossi, Riccardo; Oller, Sergio; Camata, Guido; Spacone, Enrico

doi:10.1007/s00466-015-1230-6

Cited by 77 publications

(91 citation statements)

References 44 publications

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“…This assumption showed a very good performance in a previous work by the authors on in-plane multiscale analysis of masonry [41]. Eq.…”

Section: Down-scaling or Macro-micro Transition And Constraint Conditmentioning

confidence: 75%

“…Others, known as continuous-discontinuous methods, up-scale the micro-structural response to a discontinuity at the structural scale [23,24,25,26,27,29,40,15]. In [41] an extension of the fracture-energy-based regularization to the homogenization problem has been proposed, and applied to the simulation of in-plane loaded masonry shear walls, allowing the use of a standard continuum theory, while ensuring a proper dissipation at the structural level. Computational Homogenization for shell-like structures is an emerging branch of Computational Homogenization Methods.…”

Section: Introductionmentioning

confidence: 99%

“…The main work-flow of the proposed CHM for shells can be represented as in Figure 1. The proposed method is formally identical to the classical CHM for 2D and 3D continua [41]. The main difference is that now the continuum strain and stress tensors should be replaced with the generalized strains and generalized stresses typical of shell kinematics, as described in Section 2.1.…”

Section: Introductionmentioning

confidence: 99%

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Multiscale computational first order homogenization of thick shells for the analysis of out-of-plane loaded masonry walls

Petracca

Pelà

Rossi

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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This work presents a multiscale method based on computational homogenization for the analysis of general heterogeneous thick shell structures, with special focus on periodic brick-masonry walls. The proposed method is designed for the analysis of shells whose micro-structure is heterogeneous in the in-plane directions, but initially homogeneous in the shell-thickness direction, a structural topology that can be found in single-leaf brick masonry walls. Under this assumption, this work proposes an efficient homogenization scheme where both the macro-scale and the micro-scale are described by the same shell theory. The proposed method is then applied to the analysis of out-of-plane loaded brick-masonry walls, and compared to experimental and micro-modeling results.Peer ReviewedPostprint (author's final draft

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“…This assumption showed a very good performance in a previous work by the authors on in-plane multiscale analysis of masonry [41]. Eq.…”

Section: Down-scaling or Macro-micro Transition And Constraint Conditmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multiscale computational first order homogenization of thick shells for the analysis of out-of-plane loaded masonry walls

Petracca

Pelà

Rossi

et al. 2017

Computer Methods in Applied Mechanics and Engineering

Self Cite

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“…Correspondingly to the complexity of mechanical response, many computational strategies have been investigated for the analysis of masonry structures, differing in the way the masonry constitutive modeling is addressed. 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.…”

Section: Introductionmentioning

confidence: 99%

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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“…concrete, masonry). Such methodologies can be based on computational homogenization [32,33,34,35,36,37,38], or on micromodelling techniques, also known as direct numerical simulations, including all the information about the material's micro-structure [39,40].…”

Section: Introductionmentioning

confidence: 99%

Finite element modelling of internal and multiple localized cracks

et al. 2016

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Tracking algorithms constitute an efficient numerical technique for modelling fracture in quasibrittle materials. They succeed in representing localized cracks in the numerical model without mesh-induced directional bias. Currently available tracking algorithms have an important limitation: cracking originates either from the boundary of the discretized domain or from predefined "crack-root" elements and then propagates along one orientation. This paper aims to circumvent this drawback by proposing a novel tracking algorithm that can simulate cracking starting at any point of the mesh and propagating along one or two orientations. This enhancement allows the simulation of structural case-studies experiencing multiple cracking. The proposed approach is validated through the simulation of a benchmark example and an experimentally tested structural frame under in-plane loading. Meshbias independency of the numerical solution, computational cost and predicted collapse mechanisms with and without the tracking algorithm are discussed.

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Regularization of first order computational homogenization for multiscale analysis of masonry structures

Cited by 77 publications

References 44 publications

Multiscale computational first order homogenization of thick shells for the analysis of out-of-plane loaded masonry walls

Multiscale computational first order homogenization of thick shells for the analysis of out-of-plane loaded masonry walls

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

Finite element modelling of internal and multiple localized cracks

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