Estimation of local stresses and elastic properties of a mortar sample by FFT computation of fields on a 3D image

Journal Article · Sun May 15 00:00:00 EDT 2011 · Cement and Concrete Research

DOI:https://doi.org/10.1016/j.cemconres.2011.02.003· OSTI ID:21490061

Escoda, J ^[1]; Willot, F ^[1]; Jeulin, D ^[1]; Sanahuja, J; Toulemonde, C ^[2]

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1. Centre de Morphologie Mathematique, Mathematiques et Systemes, Mines Paristech, Fontainebleau (France)
2. Departement Materiaux et Mecanique des Composants, Electricite de France, Moret-sur-Loing (France)

This study concerns the prediction of the elastic properties of a 3D mortar image, obtained by micro-tomography, using a combined image segmentation and numerical homogenization approach. The microstructure is obtained by segmentation of the 3D image into aggregates, voids and cement paste. Full-fields computations of the elastic response of mortar are undertaken using the Fast Fourier Transform method. Emphasis is made on highly-contrasted properties between aggregates and matrix, to anticipate needs for creep or damage computation. The representative volume element, i.e. the volume size necessary to compute the effective properties with a prescribed accuracy, is given. Overall, the volumes used in this work were sufficient to estimate the effective response of mortar with a precision of 5%, 6% and 10% for contrast ratios of 100, 1000 and 10,000, resp. Finally, a statistical and local characterization of the component of the stress field parallel to the applied loading is carried out.

• OSTI ID: 21490061
• Journal Information: Cement and Concrete Research, Vol. 41, Issue 5; Other Information: DOI: 10.1016/j.cemconres.2011.02.003; PII: S0008-8846(11)00040-8; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0008-8846
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ACCURACY
ALGORITHMS
CALCULATION METHODS
CEMENTS
CREEP
ELASTICITY
FOURIER TRANSFORMATION
IMAGE PROCESSING
IMAGES
MICROSTRUCTURE
MORTARS
STRESSES
TOMOGRAPHY
VOIDS
BUILDING MATERIALS
DIAGNOSTIC TECHNIQUES
INTEGRAL TRANSFORMATIONS
MATERIALS
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
PROCESSING
TRANSFORMATIONS