Deterioration of concrete due to ASR: Experiments and multiscale modeling
Introduction
Concrete structures containing reactive aggregates are susceptible to deterioration caused by the Alkali-Silica Reaction (ASR) occurring in the presence of sufficient moisture and temperature. During ASR, silica in the reactive aggregates react with alkali, calcium and hydroxide ions in the pore-fluid. The product of this reaction is an expansive ASR gel. In the presence of moisture, the ASR gel swells and generates a pressure leading to distributed microcracking in concrete. At the structural scale, these processes at the microscale are manifested as simultaneous expansion and degradation of the material. Thus, the processes involved in ASR induced expansion and deterioration of concrete consist of: i) the transport of hydroxide, alkali and calcium ions into the reactive aggregates, ii) the dissolution of silica and the formation of a swelling gel, iii) swelling of this gel in pre-existing defects, voids and pores of the aggregates and iv) finally microcracking due to expansion of the swollen gel, which leads to an overall expansion and damage of the concrete (see Fig. 14).
In Germany, the number of concrete highway pavements that were damaged by ASR over the last decades is unusually high [1]. This was the motivation for a series of research projects aimed at understanding the causes and influencing factors responsible for ASR in concrete pavements. The external supply of NaCl de-icing salts and pre-existing microcracks were found to have a significant impact on ASR induced deterioration of highway pavement concrete containing alkali-reactive aggregates [[2], [3], [4], [5]]. With the introduction of the German guideline ARS 04/2013 [6], new regulations and testing methods are now available to reduce damage due to ASR in concrete pavements.
Given the wide range of multiphysical processes and scales involved in ASR induced expansion and damage in concrete, several modeling approaches have been proposed in the past. An overview of these models can be found in [7,8]. In general, these models can be classified according to the scale (micro-, meso-, macro/structural scale) at which the physical mechanisms involved in ASR induced expansion and damage in concrete are resolved. ASR induced expansion and damage at the macroscale, i.e., the scale of concrete structure, is usually modeled using phenomenological approaches such as thermo-chemo-plastic models [9,10], thermo-chemo-damage models [[11], [12], [13]] and thermo-hygro-chemo-damage models [[14], [15], [16], [17], [18]]. In these models, the mechanisms at the concrete microscale are not explicitly considered, but are represented at the structural scale by parameters that are obtained using experimental data. These models have a good predictive capability in the context of durability analyses on the structural scale when correctly calibrated, but cannot provide additional insight into the physical mechanisms involved in ASR induced deterioration in concrete.
In contrast to the aforementioned models, the processes involved in ASR as well as microcraking mechanism at lower spatial scales can be described using microstructure characterizing models such as semi-analytical micromechanics models [[19], [20], [21], [22], [23], [24], [25]] and computational mesoscale models [[26], [27], [28]]. These microstructure characterizing models adopt different hypotheses regarding the mechanisms of gel production and expansion and can roughly be classified according to the manner in which the local expansive processes in concrete are represented. Expansion initiated in the cement paste matrix is assumed in [[29], [30], [31]], while in [[32], [33], [34], [35], [36], [37]] gel expansion occurs in the aggregate. In [[38], [39], [40]] it is assumed, that gel penetrates the Interfacial Transition Zone (ITZ), where it induces the gel pressure. As features at the level of aggregates are considered in these models, they are also capable of modeling ASR induced time-dependent swelling processes at this scale.
Due to the numerous physical mechanisms determining ASR kinetics, these modeling strategies differ in how the spatial distribution and the transport of the reactants and reaction products are characterized. One of the modeling approaches to describe the ASR kinetics neglects the rate of the Alkali-Silica Reaction and focuses on the transport processes in and around a reactive aggregate. Hence, in this class of models [32,41], the ingress of the reaction front into reactive aggregates is modeled as a diffusive process of moisture transport. A more detailed description of ASR is achieved by taking into account the transport of individual reactants and reaction products (e.g., alkali diffusion and gel permeation in [42,43].
In contrast to the aforementioned strategies focusing on transport processes in the concrete and the aggregates, a description of the chemical reactions involved in ASR neglecting the transport processes can still provide insights into the dependencies between the individual reaction components and the reaction products [44]. A more detailed characterization of ASR kinetics can be obtained by considering both aspects of ASR, i.e., transport and chemical reaction by means of diffusion-reaction equations [[45], [46], [47], [48]]. However, the availability of the required data for the choice of the kinetic constants and other relevant model parameters is scarce.
When modeling gel formation at the aggregate scale, the growth of existing distributed microcracks caused by the ASR gel pressure can be described in the framework of continuum micromechanics. Besides initial microcracks and weak zones along the ITZ resulting from autogeneous and drying shrinkage [49,50], such distributed microcracks are observed during fatigue loading [51] or in fiber reinforced cementitious composites [52,53]. Continuum micromechanics models have also been successfully used for the description of these processes characterized by distributed microcracking (e.g., [54,55]).
The major goal of the present study is to link specific experimental results with a numerical model for a multiscale analysis of pavement concrete subjected to ASR. The experimental program is described in Section 2 with the results presented in Section 3. Details of the developed multiscale modeling approach and the analysis of the model parameters are given in 4 Modeling of ASR and ASR induced concrete deterioration, 5 Analysis of model parameters, respectively. Comparison between the experimental observations and numerical predictions are presented in Section 6. Conclusions from the results of the presented study are drawn in Section 7.
Section snippets
Experimental program
Due to a multitude of factors that have an influence on ASR, such as the mineralogy of the specific aggregates (in particular the condition of the quartz), concrete mix design (cement type and amount, alkali content, w/c ratio etc.) as well as external conditions (temperature, moisture, external alkalis), the experimental program was restricted to one specific concrete composition that is representative of pavement concrete. The material was tested with the climate simulation concrete prism
Dissolution rates
Based on earlier studies [60,61], Si trapped in Al/Si species as SiAlO3(OH)43− is assumed to be not available for the formation of ASR gel. Consequently, the amount of Si in the species SiAlO3(OH)43− was subtracted from the total amount of dissolved Si. The ASR effective Si dissolution rate was obtained by the change of the effective Si concentration over time and by eliminating the influence of the fineness (specific surface area) of the aggregate samples as
Modeling of ASR and ASR induced concrete deterioration
In order to numerically model ASR induced expansion and deterioration of concrete, we extend the micromechanics based multiscale damage model proposed in [8] to take into account alkali transport and the reaction kinetics involved in ASR. In this paper, the development of the ASR kinetics model is partially based on the works of [47,48], focusing, however, on the effect of external alkali supply as well as on the kinetics of gel formation. The ASR deterioration mechanism considered in this
Analysis of model parameters
In order to determine the sensitivity of the parameters used in the model presented in the previous Section, a global sensitivity analysis was performed by estimating the first order Sobol indiceswith Var denoting the variance operator, E the expectation, Y the output and X the input parameter. The subscript j = 1, …, np defines the respective parameter. In this analysis, the output Y is a scalar value defined as the component of the macroscopic concrete expansion E11 in Eq. (22)
Comparison with experimental data
In this Section, the model predictions are compared with the ASR strains measured experimentally at different depths in concrete specimens with exposure to NaCl and water (see Fig. 9). Fig. 9, (right) corresponds to the case, where the specimen was not exposed to external alkali. For this case it is assumed that only alkalis pre-existing in the cement paste are taking part in the reaction and generate ASR gel. The effect of external alkali supply in the form of NaCl on ASR strains at different
Conclusions
In an extensive experimental program the kinetics of ASR in concrete pavements was investigated and relevant parameters necessary for computational modeling of ASR have been determined. The ASR potential of the concrete mixture was assessed by means of the CS-CPT. When exposed to NaCl solution, the concrete expansion exceeds the expansion limit, indicating a high ASR potential, which corresponds to the field experience for the granodiorite aggregates in highway pavement concrete. Additionally,
CRediT authorship contribution statement
Tagir Iskhakov: Conceptualization, Methodology, Validation, Software, Formal analysis, Writing – original draft, Visualization. Colin Giebson: Conceptualization, Methodology, Validation, Investigation, Writing – original draft, Visualization, Data curation. Jithender J. Timothy: Conceptualization, Methodology, Writing – review & editing. Horst M. Ludwig: Resources, Supervision, Project administration. Günther Meschke: Conceptualization, Writing – review & editing, Resources, Supervision,
Declaration of competing interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgment
This work has been supported by the German Research Foundation (DFG) in the framework of the DFG-Research Unit FOR 1498 “Alkali-Silica Reaction in concrete structures considering external alkali supply” (Project number 165295427). This support is gratefully acknowledged.
References (84)
- et al.
Expansion and deterioration of concrete due to ASR: micromechanical modeling and analysis
Cem. Concr. Res.
(2019) - et al.
A chemo-thermo-damage model for the analysis of concrete dams affected by alkali-silica reaction
Mech. Mater.
(2009) - et al.
Macroscopic model of concrete subjected to alkali-aggregate reaction
Cem. Concr. Res.
(2004) - et al.
Orthotropic modelling of alkali-aggregate reaction in concrete structures: numerical simulations
Mech. Mater.
(2003) - et al.
Modeling alkali–silica reaction in non-isothermal, partially saturated cement based materials
Comput. Methods Appl. Mech. Eng.
(2012) - et al.
A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials
Cem. Concr. Res.
(2003) - et al.
Micromechanical approach to the behavior of poroelastic materials
J. Mech. Phys. Solids
(2002) - et al.
Upscaling quasi-brittle strength of cement paste and mortar: a multi-scale engineering mechanics model
Cem. Concr. Compos.
(2011) Effective behaviour of ageing linear viscoelastic composites: homogenization approach
Int. J. Solids Struct.
(2013)- et al.
A cascade continuum micromechanics model for the effective elastic properties of porous materials
Int. J. Solids Struct.
(2016)
Lattice discrete particle model (LDPM) for failure behavior of concrete. I: Theory
Cem. Concr. Compos.
A damage-plasticity interface approach to the meso-scale modelling of concrete subjected to cyclic compressive loading
Eng. Fract. Mech.
A multiscale micromechanical approach to model the deteriorating impact of alkali-silica reaction on concrete
Cem. Concr. Compos.
Multiscale hydro-thermo-chemo-mechanical coupling: application to alkali–silica reaction
Comput. Mater. Sci.
Lattice discrete particle modeling (LDPM) of alkali silica reaction (ASR) deterioration of concrete structures
Cem. Concr. Compos.
Development and validation of a 3D computational tool to describe concrete behaviour at mesoscale. Application to the alkali-silica reaction
Comput. Mater. Sci.
Micro-mechanical modelling of alkali–silica-reaction-induced degradation using the AMIE framework
Cem. Concr. Res.
Influence of visco-elasticity on the stress development induced by alkali–silica reaction
Cem. Concr. Res.
A fracture mechanics approach to the crack formation in alkali-sensitive grains
Cem. Concr. Res.
Microporomechanics study of anisotropy of ASR under loading
Cem. Concr. Res.
Modified model of alkali-silica reaction
Cem. Concr. Res.
Mathematical model for kinetics of alkali-silica reaction in concrete
Cem. Concr. Res.
A mathematical model for the kinetics of the alkali–silica chemical reaction
Cem. Concr. Res.
Multi-scale analysis of alkali–silica reaction (ASR): impact of alkali leaching on scale effects affecting expansion tests
Cem. Concr. Res.
Chemo-mechanical modeling for prediction of alkali silica reaction (ASR) expansion
Cem. Concr. Res.
Fracture evolution in concrete compressive fatigue experiments based on X-ray micro-CT images
Int. J. Fatigue
Multiple cracking and strain hardening in fiber-reinforced concrete under uniaxial tension
Cem. Concr. Res.
A micromechanics based constitutive model for fibre reinforced cementitious composites
Int. J. Solids Struct.
The contribution of quartz and the role of aluminum for understanding the AAR with greywacke
Cem. Concr. Res.
Diffusion of ions through hardened cement pastes
Cem. Concr. Res.
A material model for cementitious composite materials with an exterior point Eshelby microcrack initiation criterion
Int. J. Solids Struct.
Nanoindentation mapping of mechanical properties of cement paste and natural rocks
Mater. Charact.
Theoretical analysis of the effect of weak sodium sulfate solutions on the durability of concrete
Cem. Concr. Compos.
Reliable quantification of AAR damage through assessment of the damage rating index (DRI)
Cem. Concr. Res.
Alkali–silica reaction (ASR) - performance testing: influence of specimen pre-treatment, exposure conditions and prism size on alkali leaching and prism expansion
Cem. Concr. Res.
ASR related service life estimation for concrete pavements
Die Alkali-Kieselsäure-Reaktion in Beton für Fahrbahndecken und Flugbetriebsflächen unter Einwirkung alkalihaltiger Enteisungsmittel
Influence of sodium chloride on asr in highway pavement concrete
Alkali-silica reaction performance testing of concrete considering external alkalis and preexisting microcracks
Struc. Con.
Alkali-Aggregate Reaction in Concrete: A World Review
Allgemeines Rundschreiben Straßenbau Nr. 04/2013 Sachgebiet 06.1: Straßenbaustoffe; Anforderungen, Eigenschaften Sachgebiet 04.4: Straßenbefestigung; Bauweisen Betreff: Vermeidung von Schäden an Fahrbahndecken aus Beton in Folge von Alkali-Kieselsäure-Reaktion (AKR)
Literature review of modelling approaches for ASR in concrete: a new perspective
Eur. J. Environ. Civ. Eng.
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2023, International Journal of Mechanical SciencesCitation Excerpt :Among all micromechanical-based approaches, the most remarkable work can likely be traced back to Eshelby [25]. In Eshelby-based analytical models, microcracks are typically considered to be penny-shaped defects randomly dispersed in the homogeneous matrix (e.g., [26–29]), and the effective properties of a composite material with microcracks are evaluated by various upscaling techniques that were initially derived for linear mechanical problems (e.g., [30,31]). These upscaling techniques differ mainly in their ways of accounting for the interactions between the microcracks.