Multi-scale modelling of concrete structures affected by alkali-silica reaction: Coupling the mesoscopic damage evolution and the macroscopic concrete deterioration

Gallyamov, Emil; Ramos, Aurelia Isabel Cuba; Corrado, Mauro; Rezakhani, Roozbeh; Molinari, Jean‐François

doi:10.1016/j.ijsolstr.2020.10.010

Cited by 28 publications

(16 citation statements)

References 49 publications

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“…By using our modified trust region solver in the projection-based scheme with FE discretization our solution is much faster than their approach. According to correspondence with the authors of [6,16] their calculations on 28 cores take roughly 48 hours while our simulations, on average, take half an hour on 16 cores on the same machine (Fidis cluster at Ecole Polytechnique Fédérale de Lausanne (EPFL)) which shows significant improvement on a 2D ASR damage simulation. The small differences visible in Figure 9 is probably due to subtle distinctions between the models, namely we have used rectangular elements containing ASR gel pockets while they were triangular in their model.…”

Section: Non-convex Damage Examplementioning

confidence: 87%

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Non-convex, ringing-free, FFT-accelerated solver using an incremental approximate energy functional

Falsafi¹,

J.²,

Ladecký³

et al. 2022

Preprint

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Fourier-accelerated micromechanical homogenization has been developed and applied to a variety of problems, despite being prone to ringing artifacts. In addition, the majority of Fourier-accelerated solvers applied to fast Fourier transform (FFT)-accelerated schemes only apply to convex problems. We here introduce a first order approximation incremental energy functional (FAIEF) that allows to employ modern efficient and non-convex iterative solvers, such as trustregion solvers or Low memory Broydon-Fletcher-Goldfarb-Shanno (LBFGS) in a FFT-accelerated scheme. These solvers need the explicit energy functional of the system in their standard form. We develop a modified trust region solver, capable of handling non-convex micromechanical homogenization problems such as continuum damage employing the FAIEF. We use the developed solver as the solver of a ringing-free FFT-accelerated solution scheme, namely the projection based scheme with finite element discretization.

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Section: Non-convex Damage Examplementioning

confidence: 87%

“…The parameters of the constitutive law, listed in Table 2 are obtained from Ref. [16]. The damage part of this constitutive law leads to a SNPSD system matrix.…”

Section: Non-convex Damage Examplementioning

confidence: 99%

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Non-convex, ringing-free, FFT-accelerated solver using an incremental approximate energy functional

Falsafi¹,

J.²,

Ladecký³

et al. 2022

Preprint

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“…There have been many studies to explain the expansion mechanism of AAR-affected concrete based on experiments and theoretical frameworks [ 5 ]. Numerical models are also effective as an alternative procedure [ 6 , 7 , 8 , 9 , 10 ]. The macromodel based on phenomenological approaches has the ability to predict the expansion deformation of structures [ 11 , 12 , 13 ].…”

Section: Introductionmentioning

confidence: 99%

Mesoscale Modeling Study on Mechanical Deterioration of Alkali–Aggregate Reaction-Affected Concrete

Wang

et al. 2022

Materials

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The alkali–aggregate reaction (AAR) is a harmful chemical reaction that reduces the mechanical properties and weakens the durability of concrete. Different types of activated aggregates may result in various AAR modes, which affect the mechanical deterioration of concrete. In this paper, the aggregate expansion model and the gel pocket model are considered to represent the two well-recognized AAR modes. The mesoscale particle model of concrete was presented to model the AAR expansion process and the splitting tensile behavior of AAR-affected concrete. The numerical results show that different AAR modes have a great influence on the development of AAR in terms of expansion and microcracks and the deterioration of concrete specimens. The AAR mode of the gel pocket model causes slight expansion, but generates microcracks in the concrete at the early stage of AAR. This means there is difficulty in achieving early warning and timely maintenance of AAR-affected concrete structures based on the monitoring expansion. Compared with the aggregate expansion model, more severe cracking can be observed, and a greater loss of tensile strength is achieved at the same AAR expansion in the gel pocket model. AAR modes determine the subsequent reaction process and deterioration, and thus, it is necessary to develop effective detection methods and standards for large concrete projects according to different reactive aggregates.

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“…Precipitation, aggregation, swelling, thermal expansion, phase-transitions, and chemical reactions, can all lead to internal reorganization in the material that are akin to the growth and morphogenisis in nature. One of the most pressing challenges in this context is understanding the deterioration of concrete structures due to internal precipitation and swelling (Gallyamov et al, 2020). Similar processes occur in metals and can alter their mechanical properties (Fratzl et al, 1999;Porter and Easterling, 2009;Ueland and Schuh, 2013;Kothari et al, 2019), and in advanced fabrication techniques, such as additive manufactur-ing and frontal polymerization (Robertson et al, 2018;Goli et al, 2019), where thermal expansion, precipitation and chemical reactions spontaneously emerge in the material.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Inclusion Theory with Application to the Growth and Morphogenesis of a Confined Body

Li,

Kothari,

Senthilnathan

et al. 2021

Preprint

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One of the most celebrated contributions to the study of the mechanical behavior of materials is due to J.D. Eshelby, who in the late 50s revolutionized our understanding of the elastic stress and strain fields due to an ellipsoidal inclusion/inhomogeneity that undergoes a transformation of shape and size. While Eshelby's work laid the foundation for significant advancements in various fields, including fracture mechanics, theory of phase transitions, and homogenization methods, its extension into the range of large deformations, and to situations in which the material can actively reorganize in response to the finite transformation strain, is in a nascent state. Beyond the theoretical difficulties imposed by highly nonlinear material response, a major hindrance has been the absence of experimental observations that can elucidate the intricacies that arise in this regime. To address this limitation, our experimental observations reveal the key morphogenesis steps of Vibrio cholerae biofilms embedded in hydrogels, as they grow by four orders of magnitude from their initial size. Using the biofilm growth as a case study, our theoretical model considers various growth scenarios and employs two different and complimentary methods to obtain equilibrium solutions. A particular emphasis is put on determining the natural growth path of an inclusion that optimizes its shape in response to the confinement, and the onset of damage in the matrix, which together explain the observed behavior of biofilms. Beyond bacterial biofilms, this work sheds light on the role of mechanics in determining the morphogenesis pathways of confined growing bodies and thus applies to a broad range of phenomena that are ubiquitous in both natural and engineered material systems.

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Multi-scale modelling of concrete structures affected by alkali-silica reaction: Coupling the mesoscopic damage evolution and the macroscopic concrete deterioration

Cited by 28 publications

References 49 publications

Non-convex, ringing-free, FFT-accelerated solver using an incremental approximate energy functional

Non-convex, ringing-free, FFT-accelerated solver using an incremental approximate energy functional

Mesoscale Modeling Study on Mechanical Deterioration of Alkali–Aggregate Reaction-Affected Concrete

Nonlinear Inclusion Theory with Application to the Growth and Morphogenesis of a Confined Body

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