Multi-level modeling of viscoelastic microcracked masonry

Rekik, Amna; Nguyen, T.T.N.; Gasser, Alain

doi:10.1016/j.ijsolstr.2015.11.002

Cited by 10 publications

(28 citation statements)

References 32 publications

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“…9 and 10) Time-dependent crack density evolution. As noted above, for the sake of simplicity, the crack density is assumed to accumulate in the following form as proposed by Shrive et al [52] d t t…”

Section: Open Cracks and Time-dependent Crack Densitymentioning

confidence: 99%

Rigorous Estimates for Effective Creep-coefficients of Microcracked Masonry Accounting for Cracks Interactions

Rekik

2020

Period. Polytech. Civil Eng.

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Based on the association of finite elements homogenization method and a rigorous homogenization scheme accounting for crack interactions, this paper provides rigorous predictions for the local and effective properties of microcracked viscoelastic masonry with or without creep of bricks. For the sake of simplicity, viscoelastic brick and mortar are assumed to follow the Generalized Maxwell rheological model and to be respectively safe and microcracked. In the mortar, the distribution of microcracks orientations is assumed to be random. Two steps are followed. The first one is based on the identification at the short and long terms of an approximate analytical creep function for the mortar. This step relies on the coupling between the Griffith’s brittle fracture theory and a rigorous homogenization scheme - the Ponte Castañeda & Willis model - accounting for crack interaction instead of the dilute scheme adopted previously in Rekik et al. Two cases are considered: open and closed cracks. The first step allows to avoid recourse to 'heavy' numerical inversion of the Laplace-Carson transform. The second one provides overall creep coefficients of masonry by means of periodic homogenization carried out by finite elements method. For open cracks state, time-dependent crack density is investigated. The proposed model is validated by comparison with an analytical one available for a compressed masonry wall with "standard" viscoelastic mortar joints. Effect induced by microcracks is also highlighted by comparison with uncracked masonry. At last, results provided by the proposed model can be considered to be rigorous solution improving on dilute estimates for the creep behavior of microcracked mortar and demonstrating the interest to not neglect both cracks interactions and creep of bricks units.

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Section: Open Cracks and Time-dependent Crack Densitymentioning

confidence: 99%

Rigorous Estimates for Effective Creep-coefficients of Microcracked Masonry Accounting for Cracks Interactions

Rekik

2020

Period. Polytech. Civil Eng.

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“…The main result of this study dealing with microcracked mortars following the Modified Maxwell and Burgers models, is that unlike the MM's model which estimates well the creep of masonry at short to long terms, the relevance of this version of the Burgers model is limited to mortars with too high Maxwell's relaxation times (τ M ≥ 10 7 (s)) otherwise it predicts vanishing stiffness at short and medium terms and exaggerated local strains. In addition, the effects of the damage parameter -crack density d c -and the ratio between the mortar's and bricks stiffness at short and long terms have been assessed [18].…”

Section: Resultsmentioning

confidence: 99%

“…The last step, as the 'direct' homogenization method, relies on the computation of the localization strain tensors in each brick and mortar in order to define overall stiffness and prestress in the periodic cell. More details about principles and results of these models are provided in [13,18,19].…”

Section: Methodology and Hypothesismentioning

confidence: 99%

“…Note that unlike the stress (strain) fields σ yy and σ xx (ε yy and ε xx ) which are symmetric by reference to the axis of symmetry of the panel (x = L/2), the shear stress σ xy (shear strain ε xy ) is anti-symmetric. For the MM's model, it is observed [18] that the strain fields increase slightly with time and damage. Moreover, this model predicts small strains unlike the Burgers model.…”

Section: Case Of a Compressed Masonry Panelmentioning

confidence: 99%

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Homogenization Techniques for Accurate and Approximate Estimates for Overall Properties of Microcracked Viscoelastic Masonries

Rekik¹,

Gasser²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. Based on the coupling between brittle fracture mechanics and homogenization techniques, either analytical or finite elements homogenization, this work provides accurate (up to numerical errors) and approximate overall estimates for masonries accounting for their creep behaviour and a certain level of damage as it is the case for instance for refractory linings serving at high temperatures or middle-ages masonry building.

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“…In the case of joint pattern iii, bed joints are closed, whereas head joints are open (see Figure 3). The presence of open joints leads to a decrease in the effective stiffness of the masonry structures [16]. As a result, the macroscopic elastic behavior of joint pattern iii is different from that of the constitutive material of the bricks and can be determined using the finite element-based homogenization technique.…”

Section: Joint Pattern IIImentioning

confidence: 99%

Transient Thermo-Mechanical Analysis of Steel Ladle Refractory Linings Using Mechanical Homogenization Approach

et al. 2020

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Mortarless refractory masonry structures are widely used in the steel industry for the linings of many high-temperature industrial applications including steel ladles. The design and optimization of these components require accurate numerical models that consider the presence of joints, as well as joint closure and opening due to cyclic heating and cooling. The present work reports on the formulation, numerical implementation, validation, and application of homogenized numerical models for the simulation of refractory masonry structures with dry joints. The validated constitutive model has been used to simulate a steel ladle and analyze its transient thermomechanical behavior during a typical thermal cycle of a steel ladle. A 3D solution domain and enhanced thermal and mechanical boundary conditions have been used. Parametric studies to investigate the impact of joint thickness on the thermomechanical response of the ladle have been carried out. The results clearly demonstrate that the thermomechanical behavior of mortarless masonry is orthotropic and nonlinear due to the gradual closure and reopening of the joints with the increase and decrease in temperature. In addition, resulting thermal stresses increase with the increase in temperature and decrease with the increase in joint thickness.

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Multi-level modeling of viscoelastic microcracked masonry

Cited by 10 publications

References 32 publications

Rigorous Estimates for Effective Creep-coefficients of Microcracked Masonry Accounting for Cracks Interactions

Rigorous Estimates for Effective Creep-coefficients of Microcracked Masonry Accounting for Cracks Interactions

Homogenization Techniques for Accurate and Approximate Estimates for Overall Properties of Microcracked Viscoelastic Masonries

Transient Thermo-Mechanical Analysis of Steel Ladle Refractory Linings Using Mechanical Homogenization Approach

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