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Mechanical fatigue of a stabilized/treated soil tested

with uniaxial and biaxial flexural tests

Mathieu Preteseille, Thomas Lenoir

To cite this version:

Mathieu Preteseille, Thomas Lenoir.

Mechanical fatigue of a stabilized/treated soil tested

with uniaxial and biaxial flexural tests.

Transportation Research Procedia, Elsevier, 2016, 7p.

�10.1016/j.trpro.2016.05.159�. �hal-01358728�

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Transportation Research Procedia 14 ( 2016 ) 1923 – 1929

2352-1465 © 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Peer-review under responsibility of Road and Bridge Research Institute (IBDiM) doi: 10.1016/j.trpro.2016.05.159

ScienceDirect

6th Transport Research Arena April 18-21, 2016

Mechanical fatigue of a stabilized/treated soil tested with

uniaxial and biaxial flexural tests

Mathieu Preteseille

a

, Thomas Lenoir

a,

*

aLUNAM Université, IFSTTAR, GERS, GMG, F-44340 Bouguenais, France

Abstract

During Civil Engineering works, it is a common practice to upgrade mechanical performances of in situ soils by adding few percent of hydraulic binders such as lime and/or cement. But the specificity of stress state in railways structures (biaxial tension) and the lack of knowledge about the fatigue mechanical performances of treated/stabilized natural soils under this stress state have led to the non-use of treated soils in HSR layers. To enable the use of treated soils in railways infrastructures a specific test was developed to induce biaxial tension. This biaxial test, dedicated to railways structures and a uniaxial test from pavement design are applied to a treated soil. Results are compared; it appears that the treated soil has better performances under biaxial tension.

© 2016The Authors. Published by Elsevier B.V..

Peer-review under responsibility of Road and Bridge Research Institute (IBDiM).

Keywords: High Speed Rails infrastructures; mechanical fatigue; biaxial flexural test; stabilized/cement-treated soils; High Speed Rails design

1.

Introduction

The in-situ soils present in the right-of-way of civil engineering projects have generally mechanical

characteristics inconsistent with stress rates generated by the infrastructure they have to support. To upgrade these

* Corresponding author. Tel.: +33 240845785; fax: +33 240845997.

E-mail address: Thomas.lenoir@ifsttar.fr

© 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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1924 Mathieu Preteseille and Thomas Lenoir / Transportation Research Procedia 14 ( 2016 ) 1923 – 1929

materials by using them in subgrade layers, it is common to mix them with a few percent of hydraulic binders to

improve their mechanical performances (Bell 1996, Chew, Kamruzzaman et al. 2004, Kolias,

Kasselouri--Rigopoulou et al. 2005). Besides, this process has the advantage to minimize the environmental impact and to

reduce the economic cost of the infrastructures (Nunes, Bridges et al. 1996, Salem, AbouRizk et al. 2003, Ferber,

Jatteau et al. 2010, Patrick and Arampamoorthy 2010, Pratico, Saride et al. 2011, Jullien, Proust et al. 2012).

This approach is widely used in numerous civil engineering applications such as road construction,

embankments, foundations, slabs and piles (Al-Rawas, Hago et al. 2005, Al-Amoudi, Khan et al. 2010, El Euch

Khay, Neji et al. 2010). For transport structures, fatigue is one of the main failure modes (Di Benedetto, de La

Roche et al. 2004, Lav, Lav et al. 2006).

In the pavement sector, the fatigue behavior is studied with flexural cyclic test. More specifically, in France, the

two-point bending test (2PBT) is performed (Preteseille and Lenoir 2015a). In the railway sector, the loadings and

the structure is different. Consequently, the lack of knowledge about stresses in high speed rail (HSR) structures has

purely and solely led to the non-use of treated soils and at the present time, in classic HSR projects, the in-situ

materials that don’t have sufficient characteristics are stripped, landfilled and substituted by materials from quarries.

Therefore, to enable the use of treated soils in railways infrastructures, the structure was modeled and the stress

state was determined (Preteseille, Lenoir et al. 2013). The treated layer works in a biaxial tension. A specific test

was developed to reproduce this stress state (Preteseille, Lenoir et al. 2014, Preteseille and Lenoir 2015b). This test

is the Biaxial Flexure Test (BFT). Both methods (2PBT and BFT) are applied to a treated soil and results are

compared. The aim of this paper is to give a first trend on the mechanical fatigue behavior of stabilized/treated soils

under biaxial tension.

2.

Materials and methods

2.1.

Fatigue tests

For the design of land transport infrastructures, the sizing criterion of layers made with hydraulically bound

materials is the maximal tensile stress V

max

resulting of the loading on the whole structure (SETRA-LCPC 1994).

The position of this worst tensile stress is located at the bottom of the stabilized layers (Dac Chi 1981, Sobhan and

Mashnad 2003, Preteseille, Lenoir et al. 2013). To be suitable, the material must have a fatigue strength defined as

its cyclic tensile stress that can be withstood for N loadingsV

N

superior to V

max

(Larson and Nussbaum 1967, Raad,

Monismith et al. 1977, Dac Chi and Mulders 1984, Matthews, Monismith et al. 1993, SETRA-LCPC 1994,

SETRA-LCPC 2000, Xuan, Houben et al. 2012). The number of loadings N is determined in relation with the

expected traffic and the service life of the structure,

The uniaxial test used is the French standardized test, the “two-point bending” test (AFNOR 1994, AFNOR

1994). It is a two-steps procedure applied on pseudo-trapezoidal specimens clamped at their base (Figure 1). First,

the monotonic flexural test consists in applying a steadily increasing load to the top surface of the specimen to

measure the maximum bending stress V

f 2PBT

(Equation 1). Then, a sinusoidal cyclic load V

log10(Nfail.)

with a constant

amplitude and a zero mean value at 30 Hz is applied to the top surface to measure the number N

fail.

of cycles before

the failure.

f 2PBT

(

) ( )

( )

y

F h e

z v z

I

z

V

 

(1)

where:

F – applied load (N); h – height of the specimen (m); e – gap following the z-axis between the top of the specimen

and the point of the load application (m); I

y

– moment of inertia (m

4

); v – distance from neutral axis (m).

The second test induces biaxial flexure and is called BFT. The BFT, spread in the domain of ceramics and glasses

(ASTM 2009), was recently proposed for concrete (Zi, Oh et al. 2008, Ekincioglu 2010, Kim, Kim et al. 2013) and

adapted for treated soils (Preteseille, Lenoir et al. 2013, Preteseille, Lenoir et al. 2014).

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The method consists in laying a circular plate with a thickness t and a diameter D on a support ring and to apply

a load with a ring (Figure 1) with respectively a diameter equal to DS and DL. The test generates a homogeneous

bending moment inside the loading ring. The formula for the radial (V

r

) and tangential (V

t

) stresses in the area under

the loading ring is given by the Equation 2 (ASTM 2009) and is based on theory of plates (Timoshenko and

Woinowsky-Krieger 1959, Vitman and Pukh 1963, Ritter, Jakus et al. 1980). This equation is valid considering

three assumptions:

x

There is no friction between rings and the plate.

x

The thickness of the plate has to be thin compared with its diameter.

x

The plate has weak deflection.

To minimize friction between rings and the plate three different layers are set, one layer of silicone between two

layers of Teflon (Kim, Kim et al. 2013). The dimensions of the plate (Figure 1) were determined in agreement with

the aggregate size present in natural soils and were validated with a numerical modeling (Preteseille, Lenoir et al.

2014).

The procedure is similar. First, the monotonic flexural test consists in applying a steadily increasing load to the

loading ring to measure the maximum bending stress V

f BFT

. Then, a sinusoidal cyclic load V

log10(Nfail.)

with a constant

amplitude at 30 Hz with a minimal load equal to 10% of the maximal load is applied to the loading ring to measure

the number N

fail.

of cycles before the failure.

2 2

BFT 2 2

3

1

1

ln

2

2

S L s rr f L S

D

D

D

F

D

t

D

TT

V

V

V

Q

Q

S

ª





 

º

«

»

¬

¼

(2)

where:

t – thickness of the specimen (m); D

S

– diameter of the support ring (m); D

L

– diameter of the loading ring (m);

D – diameter of the specimen (m);

Q – Poisson’s ratio.

Both tests results are presented in a Wohler’s diagram and fitted with a straight line following the Equation 3

(Dac Chi and Mulders 1984, SETRA-LCPC 1994, El Euch Khay, Neji et al. 2010).

. log10( ) 10 .

1

log (

)

fail N fail f

S

V

E

N

V



(3)

where:

S – stress ratio;

V

log10(Nfail.)

– applied stress (Pa);

V

f

– flexural strength (Pa);

E – slope of the fatigue curve;

N

fail.

– number of cycle leading to failure.

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1926 Mathieu Preteseille and Thomas Lenoir / Transportation Research Procedia 14 ( 2016 ) 1923 – 1929

2.2.

Treated soil

2.2.1.

Soil

The soil (called ASE) was sampled from the right of way of the French HSR project Bretagne Pays de la Loire.

This line will connect Le Mans and Rennes’ cities, 160 km away (Figure 2). The sample was taken with an

excavator equipped with a ditch bucket at a depth between 1.5 m and 3 m.

x

Geological background

According to geological data (BRGM 2013), these materials were sampled on a sedimentary substrate consisting

in indurated clayey silts. It dates from the Brioverian epoch (-670 to -540 million years). The alteration of this

substratum has led to the formation of a sandy clayey regolith.

Fig. 2. Sketching of the HSR project Bretagne – Pays de la Loire. Black dot ASE points out sampling area.

x

Geotechnical identification

As previously, the maximal diameter of larger elements in this material is less than 50 mm and it can be classified

as fine grained soil. Through a sieve of 2 mm, the cumulated undersize is equal to 67%. The cumulated undersize

less than 80 Pm is equal to 36%. This result means that its mechanical behavior is controlled both by its fine fraction

and by its stone skeleton, interestingly mineralogical identification of this skeleton show, in addition of quartz,

a large occurrence of micas. It is also made up of 16% of silts and 12 % of clays (Figure 3).

Mineral identification shows that the clay fraction is composed by quartz, phyllosilicates with kaolinite layers,

and a large occurrence of phyllosilicates with mica sheets, and iron oxides.

All these considerations show that this soil is at the edge between sandy and coarse-grained material. The Liquid

limit W

L

is equal to 41% and Plastic limit W

P

to 22%. It appears that the plasticity index I

P

is equal to 19. The

methylene blue value is equal to 0.9 g/100g

dry matter

. These results show the importance of the grains in the whole

matrix.

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2.2.2.

Treatment and sample preparation

The soil ASE has been treated with 5% of cement CEM II (AFNOR 2012). Specimens for fatigue tests have been

compacted in a double static mode at 98.5% of the optimum Proctor density (1.88 g/cm

3

at a water content of

14.3%).

Treated soils are stored in a room at a constant temperature of 20 °C and protected with thin plastic layers to keep

constant water content. Specimens for 2PBT were stored during 120 days before the test and 270 days for the BFT.

A monotonic test has been performed at 120 days for the BFT to enable the comparison of the flexural strength.

3.

Results

For the 2PBT, flexural strength is V

f 2PBT

= 1.13 (0.05) MPa. Results of fatigue expressed in a Wohler’s diagram

(Figure 4) lead to a slope E = -1/14.2. For a given number of cycles N

fail.

= 10

6

, the endurance e, which is defined as

the ratio V

f

/V

6

is equal to e = 0.58, V

6

= 0.66 MPa and the measurement uncertainties are '

log10(Nfail.)

= 0.69 and

'V = 0.05 MPa.

For the BFT, flexural strength is V

f BFT

= 0.99 MPa for 120 days and V

f BFT

= 1.25 (0.17) MPa for 270 days. In the

Wohler’s diagram (270 days), the slope is equal to -1/24.8. This data leads for one million of cycles to an endurance

e = 0.76, V

6

= 0.95 MPa and the measurement uncertainties are '

log10(Nfail.)

= 0.54 and 'V = 0.02 MPa.

Fig. 4. Results of fatigue tests expressed in a Wohler’s diagram of the 2PBT (120 days) and BFT (270 days) for the treated soil ASE.

4.

Discussions

4.1.

Uniaxial and biaxial flexural strength

Results from literature show that the strength is higher of 10–15% under biaxial stress than uniaxial (Ban and

under biaxial stress (BFT) is weaker of 12%. This weaker strength is probably due to the nature of the soil ASE.

Indeed, ASE is composed of schist plates. During the soil compaction, schist plates are mainly positioned

perpendicularly to the compaction direction (Figure 5a). Due to the different test method, schist plates are not

solicited in the same plane (Figure 5b). Consequently, the moment of inertia in the 2PBT configuration in higher,

leading to a better strength.

4.2.

Comparison of fatigue performances

Although the number of day for the cure is different, the comparison of the endurance is possible because the

cure has no influence on this parameter (Dac Chi and Mulders 1984). Few studies are available on the fatigue

behavior under uniaxial and biaxial tension for hydraulically bound materials. The only study found by the authors

in the literature was performed on concrete (Kim, Yi et al. 2013). The fatigue tests carried out in this paper are the

four-point bending test (Preteseille, Lenoir et al. 2014) and the BFT. Results show that the uniaxial endurance is

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1928 Mathieu Preteseille and Thomas Lenoir / Transportation Research Procedia 14 ( 2016 ) 1923 – 1929

higher than the biaxial one. Once more, results on the soil ASE are different, the uniaxial endurance is weaker. This

observation highlights the importance to induce stresses as close as possible of the stress state in the structure to

have a better prediction of the fatigue life. Moreover, sizing studies of treated layer are based on the fatigue strength,

a better assessment of the fatigue life leads to layers with an optimized thickness and structures more economic.

These results have to be confirmed on different treated soils

Fig. 5. (a) Picture of the oriented schist plates; (b) Comparison of schist plates orientation against solicitation plane of both tests.

5.

Conclusion

In conclusion, the treated soil ASE has a weaker strength under biaxial strength due to the orientation of the

schist plates. On the contrary, ASE has a better endurance with the BFT configuration. These findings highlight the

importance to use the BFT to characterize the fatigue behavior for treated layers of HSR. A better assessment of the

fatigue life leads to layers with an optimized thickness and structures more economic.

Acknowledgements

The authors would like to thank Réseau Ferré de France (RFF) for their interest and support of this work.

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