Effect of the Transition Zone on the Elastic Moduli of Mortar

Yang, Chih-Chyau

doi:10.1016/s0008-8846(98)00035-0

Cited by 120 publications

(45 citation statements)

References 26 publications

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“…The spherical shape of the fine aggregate was modelled, and the ITZ was considered as a uniform layer around the aggregate. In this study, inclusions were randomly embedded in an infinite matrix, and the inclusions with ITZ were not overlapped (Yang, 1998). There are two stages to predict and calculate the migration coefficient of three-phase composite materials.…”

Section: The Steady-state Migration Coefficientmentioning

confidence: 99%

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A three-phase model for predicting the effective chloride migration coefficient of ITZ in cement-based materials

Yang

Weng

2013

Magazine of Concrete Research

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Specimens (water/cement ratio of 0 . 35) with various volume fractions (0, 0 . 1, 0 . 2, 0 . 3, 0 . 4 and 0 . 5) of fine aggregates were cast and tested to investigate the behaviour of the interfacial transition zone in mortar and the effect of the interfacial transition zone on the chloride migration coefficient. The double-inclusion method and Mori-Tanaka theory were used to predict the migration coefficient of three-phase composite materials, which are cement paste, interfacial transition zone and fine aggregate. There are two stages to calculate the overall migration coefficient of mortar. The first stage, the equivalent migration coefficient of fine aggregate and the interfacial transition zone, was calculated by Hori and Nemat-Nasser's double-inclusion model. The second stage, the equivalent migration coefficient, was used to calculate the overall migration coefficient of the mortar composite by Mori-Tanaka theory. A comparison was conducted between the theoretical and experimental data in this study. The results indicated that the migration coefficient of the interfacial transition zone is 1 . 5 to 10 times the migration coefficient of cement paste when an interfacial transition zone thickness of 20 to 30 ìm is assumed. NotationA specimen surface exposed to chloride ions (m 2 ) b experimental constant (mol/l) C chloride concentration (mol/l) C 0 initial chloride concentration in cathode cell (mol/l) E applied voltage (V) E Young's modulus of concrete F Faraday constant (F ¼ 96 500 J/(V mol)) k chloride migration rate (mol/(l s)) L thickness of specimen (m) M chloride migration coefficient (cm 2 /s) M a migration coefficient of fine aggregate (cm 2 /s) M c overall migration coefficient of the mortar composite (cm 2 /s) M e equivalent migration coefficient (cm 2 /s) M itz migration coefficient of interfacial transition zone (cm 2 /s) M m migration coefficient of cement paste (cm 2 /s) M s steady-state migration coefficient (cm 2 /s) R universal gas constant (R ¼ 8 . 314 J/(mol K)) S the component S 1111 of the Eshelby tensor for a single inclusion T absolute temperature (K) t elapsed time (h) V volume of solution in anodic cell (m 3 )

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Section: The Steady-state Migration Coefficientmentioning

confidence: 99%

“…In this paper, the double-inclusion method (Nemat-Nasser and Hori, 1993) and Mori-Tanaka theory (Mori and Tanaka, 1973;Yang, 1998) are used to calculate the equivalent migration coefficient and overall migration coefficient of the mortar composite; and the theoretical and experimental data are subsequently compared.…”

Section: Introductionmentioning

confidence: 99%

A three-phase model for predicting the effective chloride migration coefficient of ITZ in cement-based materials

Yang

Weng

2013

Magazine of Concrete Research

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“…For the scalar effective traction for the unloading cases is proposed a law considering an elastic behavior, i. e., without residual effective opening displacement as follows: (25) Where e is the e-number, σ c is the maximum tension cohesive normal traction and δc is a characteristic opening displacement that indicates a critical opening. Thus, β, σ c and δ c are parameters of the cohesive model.…”

Section: C Borges | W M G Quaresma | G R Fernandes | J J Cmentioning

confidence: 99%

“…For instance, Ramesh [24] and Yang [25] consider a average value for the Young modulus of the ITZ as a percentage value of the Young modulus for the matrix. In this section, a RVE containing one inclusion placed on the central region is analyzed, see Figure 15.…”

Section: Alternative Modeling Of the Itzmentioning

confidence: 99%

Evaluation of a proposed model for concrete at mesoscopic scale

Borges

Quaresma

Fernandes

et al. 2017

Rev. IBRACON Estrut. Mater.

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ResumoThis work deals with numerical modeling of mechanical behavior in quasi-brittle materials, such as concrete. For this propose, a two-dimensional meso-scale model based on RVE existence is presented. The material is considered as a three-phase material consisting of interface zone (ITZ), matrix and inclusions -each constituent modeled by an independent constitutive model. The Representative Volume Element (RVE) consists of inclusions idealized as circular shapes symmetrically and non-symmetrically placed into the specimen. The interface zone is modeled by means of cohesive contact finite elements. The inclusion is modeled as linear elastic and matrix region is considered as elastoplastic material. Our main goal here is to show a computational homogenization-based approach as an alternative to complex macroscopic constitutive models for the mechanical behavior of the brittle materials using a finite element procedure within a purely kinematical multi-scale framework. Besides, the fundamental importance of the representing dissipative phenomena in the interface zone to model the complex microstructural responses of materials like concrete is focused in this work. A set of numerical examples, involving the microcracking processes, is provided in order to illustrate the performance of the proposed modeling.Keywords: homogenization, quasi-brittle materials, cohesive contact finite element, concrete, plasticity.Este trabalho trata da modelagem numérica do comportamento mecânico em materiais quase-frágeis, tal como o concreto. Para este fim, um modelo 2D de escala mesoscópica baseado no conceito de Elemento de Volume Representativo (EVR) é apresentado. O material é considerado como composto por três fases consistindo de zona de interface, matriz e inclusões, onde cada constituinte é modelado independentemente. O EVR consiste de inclusões idealizadas como de forma circular dispostas de maneira simétrica e não simétrica. A zona de interface é modelada por meio de elementos finitos coesivos de contato. A inclusão é modelada como sendo um material elástico linear, já a matriz é considerada como material elastoplástico. Nosso principal objetivo é mostrar que uma formulação baseada na homogeneização computacional é uma alternativa aos modelos constitutivos macroscópicos complexos para o comportamento mecânico de matérias frágeis usando um procedimento baseado no Método dos Elementos Finitos no âmbito de uma teoria multi-escala. Além disso, o trabalho foca na fundamental importância em representar os fenômenos dissipativos na Zona de Transição para obter uma resposta microestrutural de um material complexo como o concreto. Uma série de exemplos envolvendo processos de microfissuração é apresentada de modo a ilustrar o desempenho da modelagem proposta.Palavras-chave: homogeneização, materiais quase-frágeis, elemento finito coesivo, concreto, plasticidade

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“…The default elastic properties of the components, extracted from available literature (Grondin & Matallah, 2014;Hashin & Monteiro, 2002;Ke, Beaucour, Ortola, Dumontet, & Cabrillac, 2009;Lutz, Monteiro, & Zimmerman, 1997;Nilsen et al, 1995;Yang, 1998;Zanjani & Bobko, 2014), are presented in Table 1. However, for parametric studies discussed later in the paper, a range of values are considered, which are indicated in the respective sections.…”

Section: Materials Properties and Microstructural Modelsmentioning

confidence: 99%

Micromechanical Modeling for Material Design of Durable Infrastructural Materials: The Influence of Aggregate and Matrix Modification on Elastic Behavior of Mortars

Das

Maroli

Neithalath³

2016

Proceedings of the 5th International Conference on the Durability of Concrete Structures

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This paper reports the fundamental difference in microstress distributions in traditional hardened cement paste with quartz inclusions and a cement paste with lightweight aggregate (LWA) inclusions using microstructurebased numerical simulation involving finite element method with periodic boundary conditions. Variation of relative stress distributions under varying component material properties and varying microstructural features in both the systems is elucidated for a comprehensive understanding. The presented microstructure-based numerical technique accurately captures the stress concentrations inside microheterogeneous systems, which is otherwise not detectible using analytical homogenization schemes. Numerical simulations reveal that strengthening and stiffening of matrix and interfacial transition zone (ITZ) with silica fume incorporation as cement replacement in LWA incorporated cementitious systems has a detrimental effect in terms of overall strength of the material, contrary to traditional quartz-based cement mortar system. Proper selection of stiffness and strength of LWA inclusions is critical towards performance of such materials. This paper links the microstructure with mechanical behavior of two different microheterogeneous materials and provides valuable input towards material design of such non-traditional cementitious systems with different inclusions.

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Effect of the Transition Zone on the Elastic Moduli of Mortar

Cited by 120 publications

References 26 publications

A three-phase model for predicting the effective chloride migration coefficient of ITZ in cement-based materials

A three-phase model for predicting the effective chloride migration coefficient of ITZ in cement-based materials

Evaluation of a proposed model for concrete at mesoscopic scale

Micromechanical Modeling for Material Design of Durable Infrastructural Materials: The Influence of Aggregate and Matrix Modification on Elastic Behavior of Mortars

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