Micro-scale continuous and discrete numerical models for nonlinear analysis of masonry shear walls

Petracca, Massimo; Pelà, Luca; Rossi, Riccardo; Zaghi, Stefano; Camata, Guido; Spacone, Enrico

doi:10.1016/j.conbuildmat.2017.05.130

Cited by 116 publications

(94 citation statements)

References 31 publications

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“…Concerning the in-plane benchmark, the mechanical properties for brick, mortar and brick-mortar interfaces employed in the analyses (Table 3) were reported in previous research [16,18,27]. In addition, the tensile strength of mortar has been assumed with reference to the results on mortar prisms obtained in the experimental campaign carried out in the TU Delft laboratories in 1991 [2].…”

Section: Numerical Examplesmentioning

confidence: 99%

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A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels

D’Altri

Castellazzi

Sarhosis

2018

Computers & Structures

132

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ReuseThis article is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs (CC BY-NC-ND) licence. This licence only allows you to download this work and share it with others as long as you credit the authors, but you can't change the article in any way or use it commercially. More information and the full terms of the licence here: https://creativecommons.org/licenses/ TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. ABSTRACTIn this paper, a 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry structures is proposed. Representative Elements consisting of one brick and few mortar layers are explicitly modelled using 3D solid finite elements obeying to plastic-damage constitutive laws (one for brick and one for mortar) conceived in the framework of nonassociated plasticity. This permits to represent the brick and mortar mechanical behaviour when cracking and/or crushing occur. Representative Elements are assembled, accounting for any actual 3D through-thickness arrangement of masonry, by means of zero-thickness cohesive interfaces based on the contact penalty method. In the pre-failure of interfaces, all the significant deformability of the system is addressed to the 3D finite elements. A Mohr-Coulomb failure surface with tension cut-off is adopted. The post-failure interfacial response is characterized by a cohesive behaviour in tension and a cohesive-frictional behaviour in shear, which appears consistent with small-scale tests outcomes. Experimental-numerical comparisons are provided for the in-plane and out-of-plane behaviour of masonry panels. The accuracy and the potentialities of the modelling approach are shown. The direct characterization of all the model parameters from small-scale tests, as well as their clear mechanical meaning constitute further appealing qualities of the model proposed.

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Section: Numerical Examplesmentioning

confidence: 99%

“…To overcome this issue, few masonry macro-modelling approaches have been extended to orthotropic continua [14,15]. Furthermore, phenomenological continuum models accounting for the micro-structure of masonry have been recently developed (the so-called continuous micro-models, see for example [16]).…”

Section: Introductionmentioning

confidence: 99%

A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels

D’Altri

Castellazzi

Sarhosis

2018

Computers & Structures

132

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“…The first one is to use a mesh with predefined element orientations aligned with crack-paths that are a priori known, estimated (through preliminary analyses) [38,39,40] (Fig. 4) or coincide with weak zones of the simulated material, as the mortar-unit interface in masonry structures [41,42,43,44,45,46] (Fig. 5).…”

Section: Discrete Crack Approachesmentioning

confidence: 99%

Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures

Saloustros

Cervera

Pelà

2018

Arch Computat Methods Eng

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The importance of crack propagation in the structural behaviour of concrete and masonry structures has led to the development of a wide range of finite element methods for crack simulation. A common standpoint in many of them is the use of tracking algorithms, which identify and designate the location of cracks within the analysed structure. In this way, the crack modelling techniques, smeared or discrete, are applied only to a restricted part of the discretized domain.This paper presents a review of finite element approaches to cracking focusing on the development and use of tracking algorithms. These are presented in four categories according to the information necessary for the definition and storage of the crack-path. In addition to that, the most utilised criteria for the selection of the crack propagation direction are summarized.The various algorithmic issues involved in the development of a tracking algorithm are discussed through the presentation of a local tracking algorithm based on the smeared crack approach. Challenges such as the modelling of arbitrary and multiple cracks propagating towards more than one direction, as well as multidirectional and intersecting cracking, are detailed. The presented numerical model is applied to the analysis of small-and large-scale masonry and concrete structures under monotonic and cyclic loading.

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“…This, in addition to the fact that κ 1 does not appear in equation (4), make the tensile and compressive response in the 1st and 3rd quadrants of Figure 1 independent of κ 1 . As shown by Petracca et al [39,41], the different choice in the definition of the equivalent stresses from those proposed in [35,38,40] results in a better control of the model behaviour under shear monotonic loading. As it will be shown later, the choice of such surfaces in the current model results also in the consideration of the irreversible deformations under shear loading.…”

Section: Constitutive Lawmentioning

confidence: 99%

“…The rest of the mechanical properties of the materials, and the parameters of the constitutive model have been chosen in order to calibrate correctly the shear response of the material, on the basis on the discussion presented in Section 2.2. To this aim, a value of κ 1 = 0.15 has been chosen which is similar to the value used in other available studies on masonry shear walls [19,39,41]. Regarding the crack-tracking parameters, the exclusion radius has been set equal to r excl = 0.20 m, which is a value between the length and the width of the masonry units.…”

Section: Experimental and Numerical Set-upmentioning

confidence: 99%

Tracking multi-directional intersecting cracks in numerical modelling of masonry shear walls under cyclic loading

2017

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In-plane cyclic loading of masonry walls induces a complex failure pattern composed of multiple diagonal shear cracks, as well as flexural cracks. The realistic modelling of such induced localized cracking necessitates the use of costly direct numerical simulations with detailed information on both the properties and geometry of masonry components. On the contrary, computationally efficient macro-models using standard smeared-crack approaches often result in a poor representation of fracture in the simulated material, not properly localized and biased by the finite element mesh orientation. This work proposes a possible remedy to these drawbacks of macro-models through the use of a crack-tracking algorithm. The macro-modelling approach results in an affordable computational cost, while the tracking algorithm aids the mesh-bias independent and localized representation of cracking. A novel methodology is presented that allows the simulation of intersecting and multi-directional cracks using tracking algorithms. This development extends the use of localized crack approaches using tracking algorithms to a wider field of applications exhibiting multiple, arbitrary and interacting cracking. The paper presents also a novel formulation including into an orthotropic damage model the description of irreversible deformations under shear loading. The proposed approach is calibrated through the comparison with an experimental test on a masonry shear wall against in-plane cyclic loading.

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Micro-scale continuous and discrete numerical models for nonlinear analysis of masonry shear walls

Cited by 116 publications

References 31 publications

A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels

A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels

Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures

Tracking multi-directional intersecting cracks in numerical modelling of masonry shear walls under cyclic loading

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