This work aims at assessing the mechanical properties of interphase in a compositelike geomaterial by using a nondestructive characterization technique by ultrasound and an inversion procedure based on the theoretical multi-inclusion model. This latter model is extended here and adapted for the multiphase heterogeneous materials which may contain an arbitrary number of interphases between each inhomogeneity and matrix phase. Some numerical applications on a cement-based geomaterial show that this procedure can be used as a complementary method to characterize the properties of interphase.

References

1.
Constantinides
,
G.
, and
Ulm
,
F. J.
,
2004
, “
The Effect of Two Types of C-S-H on the Elasticity of Cement-Based Materials: Results From Nanoindentation and Micromechanical Modeling
,”
Cem. Concr. Res.
,
34
(1), pp.
67
80
.10.1016/S0008-8846(03)00230-8
2.
Mehta
,
P. K.
, and
Monteiro
,
P. J. M.
,
1993
,
Concrete: Microstructure, Properties, and Materials
,
Prentice-Hall, Inc.
,
Eaglewood Cliffs, NJ
.
3.
Pichler
,
B.
, and
Hellmich
,
C.
,
2011
, “
Upscaling Quasi-Brittle Strength of Cement Paste and Mortar: A Multi-Scale Engineering Mechanics Model
,”
Cem. Concr. Res.
,
41
(
5
), pp.
467
476
.10.1016/j.cemconres.2011.01.010
4.
Scrivener
,
K. L.
,
Crumbie
,
A. K.
, and
Laugesen
,
P.
,
2004
, “
The Interfacial Transition Zone (ITZ) Between Cement Paste and Aggregate in Concrete
,”
Interface Sci.
,
12
(
4
), pp.
411
421
.10.1023/B:INTS.0000042339.92990.4c
5.
Stora
,
E.
,
Bary
,
B.
,
He
,
Q. C.
,
Deville
,
E.
, and
Montarnal
,
P.
,
2009
, “
Modelling and Simulations of the Chemo–Mechanical Behaviour of Leached Cement-Based Materials. Leaching Process and Induced Loss of Stiffness
,”
Cem. Concr. Res.
,
39
(
9
), pp.
763
772
.10.1016/j.cemconres.2009.05.010
6.
Do
,
D. P.
, and
Hoxha
,
D.
,
2013
, “
Effective Transfer Properties of Partially Saturated Geomaterials With Interfaces Using Immersed Interface Method
,”
Int. J. for Num. Anal. Methods Geomech.
,
37
(
18
), pp.
3237
3257
.10.1002/nag.2187
7.
Heukamp
,
F. H.
,
Lemarchand
,
E.
, and
Ulm
,
F. J.
,
2005
, “
The Effect of Interfacial Properties on the Cohesion of Highly Filled Composite Materials
,”
Int. J. Solids Struct.
,
42
(
1
), pp.
287
305
.10.1016/j.ijsolstr.2004.07.007
8.
Lutz
,
M. P.
,
Monteiro
,
P. J. M.
, and
Zimmerman
,
R. W.
,
1997
, “
Inhomogeneous Interfacial Transition Zone Model for the Bulk Modulus of Mortar
,”
Cem. Concr. Res.
,
27
(
7
), pp.
1113
1122
.10.1016/S0008-8846(97)00086-0
9.
Nie
,
S.
, and
Basaran
,
C.
,
2005
, “
A Micromechanical Model for Effective Elastic Properties of Particulate Composites With Imperfect Interfacial Bonds
,”
Int. J. Solids Struct.
,
42
(
14
), pp.
4179
4191
.10.1016/j.ijsolstr.2004.12.009
10.
Wong
,
H. S.
,
Zobel
,
M.
,
Buenfeld
,
N. R.
, and
Zimmerman
,
R. W.
,
2009
, “
Influence of the Interfacial Transition Zone and Microcracking on the Diffusivity, Permeability, and Sorptivity of Cement-Based Materials After Drying
,”
Mag. Concr. Res.
,
61
(
8
), pp.
571
589
.10.1680/macr.2008.61.8.571
11.
Yang
,
C. C.
,
1998
, “
Effect of the Transition Zone on the Elastic Moduli of Mortar
,”
Cem. Concr. Res.
,
28
(
5
), pp.
727
736
.10.1016/S0008-8846(98)00035-0
12.
Xiao
,
J.
,
Li
,
W.
,
Sun
,
Z.
,
Lange.
,
D. A.
, and
Shah.
,
S. P.
,
2013
, “
Properties of Interfacial Transition Zones in Recycled Aggregate Concrete Tested by Nanoindentation
,”
Cem. Concr. Compos.
,
37
(March), pp.
276
292
.10.1016/j.cemconcomp.2013.01.006
13.
Hernandez
,
M. G.
,
Anaya
,
J. J.
,
Ullate
,
L. G.
,
Cegarra
,
M.
, and
Sanchez
,
T.
,
2006
, “
Application of a Micromechanical Model of Three Phases to Estimating the Porosity of Mortar by Ultrasound
,”
Cem. Concr. Res.
,
36
(4), pp.
617
624
.10.1016/j.cemconres.2004.07.018
14.
Eshelby
,
J. D.
,
1957
, “
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
,”
Proc. R. Soc. London A
,
241
(
1226
), pp.
376
396
.10.1098/rspa.1957.0133
15.
Mori
,
T.
, and
Tanaka
,
K.
,
1973
, “
Average Stress in Matrix and Average Elastic Energy of Materials With Misfitting Inclusions
,”
Acta Metall.
,
21
(
5
), pp.
571
574
.10.1016/0001-6160(73)90064-3
16.
Mura
,
T.
,
1987
,
Micromechanics of Defects in Solids
, 2nd ed.,
Martinus Nijhoff Publishers
, Dordrectht, The Netherlands.
17.
Nemat-Nasser
,
S.
, and
Hori
,
M.
,
1993
,
Micromechanics: Overall Properties of Heterogenous Materials
,
North Holland, Elsevier
,
Amsterdam, The Netherlands
.
18.
Torquato
,
S.
,
2002
,
Random Heterogenous Materials: Microstructure and Macroscopic Properties
,
Springer-Verlag
, New York.
19.
Ponte Castaneda
,
P.
, and
Willis
,
J. R.
,
1995
, “
The Effect of Spatial Distribution on the Effective Behavior of Composite Materials and Cracked Media
,”
J. Mech. Phys. Solids
,
43
(12), pp.
1919
1951
.10.1016/0022-5096(95)00058-Q
20.
Christensen
,
R. M.
, and
Lo
,
K. H.
,
1979
, “
Solution for Effective Shear Properties in Three Phase Sphere and Cylinder Model
,”
J. Mech. Phys. Solids
,
27
(
4
), pp.
315
330
.10.1016/0022-5096(79)90032-2
21.
Hori
,
M.
, and
Nemat-Nasser
,
S.
,
1993
, “
Double-Inclusion Model and Overall Moduli of Multi-Phase Composites
,”
Mech. Mater.
,
14
(
3
), pp.
189
206
.10.1016/0167-6636(93)90066-Z
22.
Hu
,
G. K.
, and
Weng
,
G. J.
,
2000
, “
The Connections Between the Double-Inclusion Model and the Ponte Castaneda–Willis, Mori–Tanaka, and Kuster–Toksoz Models
,”
Mech. Mater.
,
32
(
8
), pp.
495
503
.10.1016/S0167-6636(00)00015-6
23.
Lipinski
,
P.
,
Barhdadi
,
E.
, and
Cherkaoui
,
M.
,
2006
, “
Micromechanical Modeling of an Arbitrary Ellipsoidal Multi-Coated Inclusion
,”
Philos. Mag.
,
86
(
10
), pp.
1305
1326
.10.1080/14786430500343868
24.
Hervé
,
E.
, and
Zaoui
,
A.
,
1993
, “
n-Layered Inclusion-Based Micromechanical Modelling
,”
Int. J. Eng. Sci.
,
31
(
1
), pp.
1
10
.10.1016/0020-7225(93)90059-4
25.
Aboutajeddine
,
A.
, and
Neale
,
K. W.
,
2005
, “
The Double-Inclusion Model: A New Formulation and New Estimates
,”
Mech. Mater.
,
37
(
2–3
), pp.
331
341
.10.1016/j.mechmat.2003.08.016
26.
Do
,
D. P.
,
2008
, “
Application of Homogenization Approaches to the Study of the Thermo-Hydro-Mechanical Properties of Rocks. Application to Argillites
,” Ph.D. thesis, National Polytechnic Institute of Lorraine (INPL), Nancy, France (in French).
27.
Dormieux
,
L.
,
Kondo
,
D.
, and
Ulm
,
F.
,
2006
,
Microporomechanics
, 1st ed.,
Wiley
, Chichester, UK.
28.
Giraud
,
A.
,
Gruescu
,
C.
,
Do
,
D. P.
,
Homand
,
F.
, and
Kondo
,
D.
,
2007
, “
Effective Thermal Conductivity of Transversely Isotropic Media With Arbitrary Oriented Ellipsoıdal Inhomogeneities
,”
Int. J. Solids Struct.
,
44
(9), pp.
2627
2647
.10.1016/j.ijsolstr.2006.08.011
29.
Giraud
,
A.
,
Hoxha
,
D.
,
Do
,
D. P.
, and
Magnenet
,
V.
,
2008
, “
Effect of Pore Shape on Effective Porothermoelastic Properties of Isotropic Rocks
,”
Int. J. Solids Struct.
,
45
(
1
), pp.
1
23
.10.1016/j.ijsolstr.2007.07.005
30.
Gu
,
S. T.
,
Shao
,
J. F.
, and
He
,
Q. C.
,
2009
, “
Multiscale Modeling of the Macroscopic Size-Dependent Effects of Interfacial Transition Zones in Concrete and Their Damage
,”
Procedia Eng.
,
1
(
1
), pp.
27
30
.10.1016/j.proeng.2009.06.008
31.
Eslami
,
J.
,
Hoxha
,
D.
, and
Grgic
,
D.
,
2011
, “
Estimation of the Damage of a Porous Stone Using Continuous Wave Velocity Measurements During Uniaxial Creep Tests
,”
Mech. Mater.
,
49
, pp.
51
65
.10.1016/j.mechmat.2012.02.003
32.
Lines
,
D.
,
Wharrie
,
J.
, and
Hottenroth
,
J.
,
2010
, “
Multi-Channel Ultrasound Toolbox: A Flexible Modular Approach for Real-Time Array Imaging and Automated Inspection
,”
American Society for Nondestructive Testing Annual Fall Conference
(ASNT) Houston, TX, Nov.15–18.
33.
Hernandez
,
M. G.
,
Anaya
,
J. J.
,
Ibanez
,
A.
, and
Ullate
,
L. G.
,
2004
, “
Effect of the Fluid in the Inclusions of Cement Paste Over the Ultrasonic Velocity
,”
Ultrasonics
,
42
(
1–9
), pp.
865
869
.10.1016/j.ultras.2004.01.066
34.
Hashina
,
Z.
, and
Monteiro
,
P. J. M.
,
2002
, “
An Inverse Method to Determine the Elastic Properties of the Interphase Between the Aggregate and the Cement Paste
,”
Cem. Concr. Res.
,
32
(8), pp.
1291
1300
.10.1016/S0008-8846(02)00792-5
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