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

Abstract : 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 contrasts ratio of 100, 1000 and 10000, respectively. Finally, a statistical and local characterization of the component of the stress field parallel to the applied loading is carried out.
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Julie Escoda, François Willot, Dominique Jeulin, Julien Sanahuja, Charles Toulemonde. Estimation of local stresses and elastic properties of a mortar sample by FFT computation of fields on a 3D image. Cement and Concrete Research, Elsevier, 2011, 41 (5), pp.542-556. 〈10.1016/j.cemconres.2011.02.003〉. 〈hal-00553658〉

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