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

被引：37

作者：

Escoda, J. ^{[1
,2
]}

Willot, F. ^{[1
]}

Jeulin, D. ^{[1
]}

Sanahuja, J. ^{[2
]}

Toulemonde, C. ^{[2
]}

机构：

[1] Mines Paristech, Ctr Morphol Math Math & Syst, Fontainebleau, France

[2] Elect France, Dept Mat & Mecan Composants, Moret Sur Loing, France

来源：

CEMENT AND CONCRETE RESEARCH | 2011年 / 41卷 / 05期

关键词：

Microstructure; Elastic moduli; Fast Fourier Transform algorithm; Image analysis; Mortar; COMPOSITES; CONCRETE; BEHAVIOR;

D O I：

10.1016/j.cemconres.2011.02.003

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This study concerns the prediction of the elastic properties of a 3D mortar image, obtained by microtomography, 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. Fullfields 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%, n 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. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：542 / 556

页数：15

共 24 条

[1]

[Anonymous], 1983, Image Analysis and Mathematical Morphology

[2] Numerical and analytical effective elastic properties of degraded cement pastes [J].

Bary, B. ;

Ben Haha, M. ;

Adam, E. ;

Montarnal, P. .

CEMENT AND CONCRETE RESEARCH, 2009, 39 (10) :902-912

[3]

Bentz DP, 1997, J AM CERAM SOC, V80, P3

[4] 3D multi-scale modelling of mechanical behaviour of sound and leached mortar [J].

Bernard, F. ;

Kamali-Bemard, S. ;

Prince, W. .

CEMENT AND CONCRETE RESEARCH, 2008, 38 (04) :449-458

[5]

Beucher S., 1992, MATH MORPHOLOGY IMAG, P433

[6] 3D meso-structural analysis of concrete specimens under uniaxial tension [J].

Caballero, A. ;

Lopez, C. M. ;

Carol, I. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (52) :7182-7195

[7]

Granger L., 1996, THESIS LAB CENTRAL P

[8] Modeling the linear elastic properties of Portland cement paste [J].

Haecker, C ;

Garboczi, EJ ;

Bullard, JW ;

Bohn, RB ;

Sun, Z ;

Shah, SP ;

Voigt, T .

CEMENT AND CONCRETE RESEARCH, 2005, 35 (10) :1948-1960

[9] Mesoscale modeling of concrete:: Geometry and numerics [J].

Häfner, S ;

Eckardt, S ;

Luther, T ;

Könke, C .

COMPUTERS & STRUCTURES, 2006, 84 (07) :450-461

[10]

HAIN M, 2007, COMPUTATIONAL MECH, P197

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