Effective elastic moduli of inhomogeneous solids by embedded cell model

詹世革,; 王自强,

doi:10.1007/bf02487931

Cited by 3 publications

(3 citation statements)

References 19 publications

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“…With this estimate, it is easy to account for the diversity of inclusion shapes and space distribution. In many cases it is identical to classical estimates: the two-phase estimate [65] when we only have one type of ellipsoidal inclusion, Mori-Tanaka [5] when the inclusions are spherical. We have shown its effeciency thanks to 2d finite element computations on randomly generated microstructures, in cases where the interpenetration of cracks was forbidden [13].…”

Section: Use Of the Idd Estimatesupporting

confidence: 60%

Microporomechanics study of anisotropy of ASR under loading

Charpin

Ehrlacher

2014

Cement and Concrete Research

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International audienceIn this article, we introduce a new micromechanical model for alkali-silica reaction. Our idea was to build a model with the following characteristics. First, the model has to be simple enough to be used to compute damage under loading and chemical attack at the level of each element in a structure code. Second, its parameters must be easy to identify on available alkali-silica reaction lab experiments. We have chosen to model the behavior of concrete containing aggregates such that most of the damage occurs in the cement paste. Using micromechanics and an energy criterion, the model remains analytical except for the minimization of the energy. The parameters were identified on Multon's triaxial experiments and good results were obtained for compressive loadings up to 10 MPa. ?? 2014 Elsevier Ltd

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Section: Use Of the Idd Estimatesupporting

confidence: 60%

Microporomechanics study of anisotropy of ASR under loading

Charpin

Ehrlacher

2014

Cement and Concrete Research

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“…Two-phase estimate (2ph) The two phase estimate, when there is only one heterogeneity family, is built by embedding the heterogeneity ω of stiffness tensor C i in an infinite elastic medium of same stiffness tensor as the matrix of the composite C 0 [8]. Then an ellipsoid D embedding the inclusion ω is defined to represent the spatial distribution of the inclusion rather than its shape, and so that the volume fraction of the inclusions in the real composite f is equal to ω/D.…”

Section: Micromechanics Estimatesmentioning

confidence: 99%

“…However, it has a closed-form solution in only few cases: isotropically distributed spherical inclusions (this solution was given by Christensen and Lo [6]) and some cases of cracked medium [7]. For other cases, it is necessary to use approximations (such as the one proposed by Hori and Nemat-Nasser in the same article [5]), or to simplify the problem (as is done in the two-phase model, where the matrix material also occupies the infinite medium embedding the matrix ellipsoid [8]). It is also possible to evaluate the general self-consistent solution numerically, as is well known and will be illustrated in this article.…”

Section: Introductionmentioning

confidence: 99%

Estimating the poroelastic properties of cracked materials

Charpin

Ehrlacher

2014

Acta Mech

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International audienceWe present a comparative study of the ability of some micromechanics estimates to predict the overall properties of heterogeneous materials. We focus mainly on cracked materials, for which this task is difficult and many estimates fail. We study particularly the interaction direct derivative estimate, proposed by Zheng and Du, which is an approximation of the generalized self-consistent scheme, but has the very convenient property to be always explicit. A modified version of this estimate, called full-range IDD by Zheng and Du, yields good results when comparing all poromechanical coefficients predicted by the estimate to finite element simulations of a 2D cracked material in plane strain, up to crack density factors of 1 for aligned cracks and 0.60 for randomly oriented cracks. The accuracy of finite element computations of the overall moduli is also commented by plotting the convergence of the average of the properties as well as the confidence intervals on these averages

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Fracture Based on Micromechanics Schemes in Alkali-Silica Reaction

Charpin¹,

Ehrlacher²

2013

Poromechanics V

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Alkali-Silica Reaction is a deleterious chemical reaction which affects concrete due to the swelling of a gel close to reaction sites generally located in or at the surface of reactive aggregates. The pressure build-up due to the swelling of the gel can lead to fracture of the interface between the aggregates and the cement paste, and cracking in the cement paste. Our goal is to predict the anisotropy of the macroscopic expansion of concrete through the computation of the crack directions. The choice of the micromechanical representation of the concrete has been helped by comparison of different estimates with finite element simulations on typical crack patterns. In this article we explain the micromechanics modeling.

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Effective elastic moduli of inhomogeneous solids by embedded cell model

Cited by 3 publications

References 19 publications

Microporomechanics study of anisotropy of ASR under loading

Microporomechanics study of anisotropy of ASR under loading

Estimating the poroelastic properties of cracked materials

Fracture Based on Micromechanics Schemes in Alkali-Silica Reaction

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