18
The Mechanical Behaviour of a Pyroclastic Rock: Yield Strength and ‘‘Destructuration’’ Effects By S. Aversa and A. Evangelista Department of Geotechnical Engineering, University of Naples, Naples, Italy Summary A research programme on the mechanical behaviour of a homogenous volcanic tuff found in the centre of the city of Naples (Italy) was carried out at the University of Naples a few years ago. Isotropic and drained triaxial tests were performed in a very wide range of confining pressures (up to 60 MPa). After presenting the stress-strain curve pattern and the mean stress influence on the shear behaviour, the paper focuses on the definition of a strength criterion and of the yield surface for this material. Some tuff samples were subjected to isotropic compression tests up to a confining pressure approximately twice as high as the isotropic yield stress; they were sub- sequently unloaded and subjected to drained triaxial tests. Partial loosening of the interparticle bonds (‘‘destructuration’’) was observed. The paper also compares the mechanical behaviour of intact and ‘‘destructured’’ samples, emphasising the effects of the structure on strength and yield. 1. Introduction The hills which form the skyline of the city of Naples are made up mainly of pyroclastic rocks originating in volcanic eruptions in the Phlegrean Fields, an active volcanic area a few kilometres to the west of the city centre. Among these rocks, the Neapolitan Yellow Tuff (NYT), which has been studied extensively at the University of Naples (Pelle- grino, 1970 and 1974; Evangelista, 1980), is the most common in the first hundred metres below the ground level. A comprehensive report on the NYT physical and mechanical properties was published by Evangelista and Pellegrino (1990) and by Evangelista and Aversa (1994). The main physical and mechanical properties were determined on the basis of huge number of tests, but the experimental results were scattered over wide ranges; it was not possible to give a more detailed interpretation. A more homogenous tuff, called Fine-Grained Tuff (FGT), is present in very limited zones of the city’s subsoil. This material is older than the NYT and it owes its name to the fine grain size of its constituent particles and to the lack of pumiceous inclusions which are very common in other types of Neapolitan tuff. The research programme described in the present paper was carried out on FGT. Because of the limited diffusion of this tuff, the engineering purpose of the research Rock Mech. Rock Engng. (1998) 31 (1), 25–42 Rock Mechanics and Rock Engineering q Springer-Verlag 1998 Printed in Austria

The Mechanical Behaviour of a Pyroclastic Rock: Yield Strength and \"Destructuration\" Effects

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The Mechanical Behaviour of a Pyroclastic Rock:Yield Strength and ``Destructuration'' Effects

By

S. Aversa and A. Evangelista

Department of Geotechnical Engineering, University of Naples, Naples, Italy

Summary

A research programme on the mechanical behaviour of a homogenous volcanic tuff found in thecentre of the city of Naples (Italy) was carried out at the University of Naples a few years ago.Isotropic and drained triaxial tests were performed in a very wide range of con®ning pressures (upto 60 MPa). After presenting the stress-strain curve pattern and the mean stress in¯uence on theshear behaviour, the paper focuses on the de®nition of a strength criterion and of the yield surfacefor this material. Some tuff samples were subjected to isotropic compression tests up to acon®ning pressure approximately twice as high as the isotropic yield stress; they were sub-sequently unloaded and subjected to drained triaxial tests. Partial loosening of the interparticlebonds (``destructuration'') was observed. The paper also compares the mechanical behaviour ofintact and ``destructured'' samples, emphasising the effects of the structure on strength and yield.

1. Introduction

The hills which form the skyline of the city of Naples are made up mainly of pyroclastic

rocks originating in volcanic eruptions in the Phlegrean Fields, an active volcanic area a

few kilometres to the west of the city centre. Among these rocks, the Neapolitan Yellow

Tuff (NYT), which has been studied extensively at the University of Naples (Pelle-

grino, 1970 and 1974; Evangelista, 1980), is the most common in the ®rst hundred

metres below the ground level. A comprehensive report on the NYT physical and

mechanical properties was published by Evangelista and Pellegrino (1990) and by

Evangelista and Aversa (1994). The main physical and mechanical properties were

determined on the basis of huge number of tests, but the experimental results were

scattered over wide ranges; it was not possible to give a more detailed interpretation.

A more homogenous tuff, called Fine-Grained Tuff (FGT), is present in very

limited zones of the city's subsoil. This material is older than the NYT and it owes its

name to the ®ne grain size of its constituent particles and to the lack of pumiceous

inclusions which are very common in other types of Neapolitan tuff.

The research programme described in the present paper was carried out on FGT.

Because of the limited diffusion of this tuff, the engineering purpose of the research

Rock Mech. Rock Engng. (1998) 31 (1), 25±42Rock Mechanics

and Rock Engineering

q Springer-Verlag 1998

Printed in Austria

m

was not to determine the values of the mechanical properties, but mainly to de®ne the

behaviour pattern so that the ®ndings could be extended to the most common NYT and,

in general, to other pyroclastic rocks. The material samples were subjected to

oedometer, isotropic and triaxial tests; the latter were carried out both in drained and

undrained conditions. The experimental programme was started in 1990 and pre-

liminary test results were published by Aversa et al. (1991). This paper deals essentially

with the results of isotropic and drained triaxial tests; furthermore, it proposes a

strength criterion and de®nes the shape of the yield surface. The test results clearly

showed the in¯uence of the ``structure'', as de®ned by Leroueil and Vaughan (1990),

on the mechanical behaviour of the material. Stiff behaviour was observed before a

well-de®ned yield stress, which corresponds with the beginning of the so-called

``destructuration''.

Some special drained triaxial tests were performed in order to investigate the effect

of ``destructuration'' on the mechanical behaviour of the material. In these tests the

samples were ®rst isotropically compressed to an effective stress which was approxi-

mately twice as high as the isotropic yield stress and subsequently unloaded to a lower

value. Standard triaxial tests were then carried out. The effect of the structure was

assessed by comparing the test results with those obtained on intact samples.

This study can be regarded as part of a wider research programme aiming at

bringing together in a single framework the behaviour of different materials char-

acterised by the presence of interparticle bonds (Aversa et al., 1993). The experimental

programme was carried out on saturated samples in order to determine volumetric

strains on the basis of the expelled water volume. Evangelista and Pellegrino (1990)

regarded the effective stress principle as valid for tuff. In agreement with the Cambridge

convention, the mean effective stress p0 and the deviatoric stress q for axial ±

symmetric state of stress are expressed in the following as:

p0�

j01 � 2´j0

3

3

q � j1 ÿ j3 �1�

Compressive stresses and contractive strains are assumed to be positive.

2. Materials and Methods

The FGT is a homogenous pyroclastic rock, approximately 15,000 years old, that

resulted from deposition and diagenesis of hot pyroclastic products erupted from the

Phlegrean Fields. Its main physical and mechanical properties are summarised in

Table 1. Porosity n ranges between 0.45 and 0.50, which is typical of pyroclastic rocks.

The speci®c gravity gs is equal to 24.3 kN/m3. The mean dry unit weight is 12.8 kN/m3.

The pore size is very small in comparison with other tuffs. A Mercury Porosimeter was

used to evaluate the pore size statistical distribution. It was found (Aversa et al., 1991)

that the radius of pores is smaller than 0.1 mm in almost 25% of the volume of pores and

it ranges between 0.1 mm and 1 mm in 50%. For this reason the material permeability is

very low as compared with other Neapolitan tuffs (Aurisicchio et al., 1982), being on

S. Aversa and A. Evangelista26

m

average 1:6´10ÿ9 m/s. The mean uniaxial compressive strength determined on saturated

samples is 8.0 MPa. The material was picked up in irregular blocks while excavation

were being carried out. Triaxial test samples (5.0 cm in diameter and 10.0 cm in height)

were cored in the laboratory using a rotatory drilling core and then cut by means of a

rock saw. A lathe was used to smooth the bases and make them parallel to each other.

The samples were saturated under vacuum as follows. Each sample at room water

content was placed in a container and kept under vacuum for some hours; then the

container was ®lled very slowly with de-aerated water. Once the sample was sub-

merged, the vacuum was maintained for almost 36 h. The saturated sample was

mounted onto a triaxial cell and maintained under back-pressure (300 kPa) for some

days. A special B-test was performed to evaluate the effectiveness of the procedure:

under undrained conditions the cell pressure j3 was increased in steps and the pore

pressure u was measured at each step. The sample was deemed saturated if the value of

B remained the same whenever the cell pressure was stepped up. The typical mean

value of B for saturated FGT samples was 0.9. Two triaxial cells were used: a

commercial W&F cell that can work under a cell pressure of 14 MPa and a very

stiff cell ± originally designed at the University of Naples and built by Costruzioni

Meccaniche Baratto (Naples) ± with which cell pressures up to 70 MPa can be applied.

Three different systems were used to generate and control the cell pressure:

ordinary mercury pots for low cell pressures (up to 2 MPa) and two alternative systems

for higher cell pressures, namely a commercial pressure generator produced by W&F

(with maximum pressure of 70 MPa) and a system assembled at the University of

Naples. The latter was actually a booster amplifying the air pressure generated by

means of a regular compressor by 50 times.

The back-pressure was generated by means of mercury pots. A very stiff mechani-

cal loading frame which could supply a maximum load of 500 kN was used to apply the

axial stress under strain control (v � 0:004ÿ0:015 mm/min). Within this range of

velocity pore pressure measurements taken on one of the bases of the sample suggested

that no excess pore pressure had been generated in the sample under test.

Axial load and displacement were measured outside the triaxial cell; volumetric

strains were determined by measuring the volume of water entering or leaving the

sample. Thirty-four samples were tested; the initial void ratio and test conditions for

each sample are shown in Table 2.

3. Isotropic Compression Tests

Isotropic compression tests on saturated samples were performed using the 70 MPa

The Mechanical Behaviour of a Pyroclastic Rock 27

Table 1. Basic average properties of FineGrained Tuff

Dry unit weight 12.8 kN/m3

Porosity 47.3%Compressive strength 8.0 MPaPermeability 1:6 ´ 10ÿ9 m/s

m

triaxial cell. The cell pressure was applied in steps and volumetric strains were

determined during each step.

The experimental volumetric strain-time relation demonstrated on sample 44 in

each step of the test is shown in Fig. 1. When the cell pressure is lower than a threshold

value (yield stress in isotropic compression), the volumetric strains are very small

and practically time-independent. Primary consolidation occurs very quickly (almost

instantaneously); no signi®cant creep volumetric strains are observed. For con®ning

pressures higher than the threshold value, the volumetric strains are signi®cantly higher

than before. A well-de®ned consolidation curve is observed; creep is slightly more

pronounced. Similar results were obtained on other samples.

The results of the isotropic compression tests performed on sample TR13 are shown

in a conventional semi-logarithmic void ratio e vs. isotropic effective stress p0 diagram

(Fig. 2a) and in a bulk modulus K vs. isotropic effective stress p0 diagram (Fig. 2b). In

the ®rst part of the stress-strain curve the bulk modulus is very high and almost

S. Aversa and A. Evangelista28

Table 2. Initial void ratios and test conditions of the samples

Sample Test Void ratio Effective con®ningpressure (MPa)

TR1 CID 0.908 0.90TR2 CID 0.953 2.40TR3 CID 0.883 7.70TR4 CID 0.905 11.50TR5 CID 0.773 4.70TR6 IC 0.900 ±TR7 CID 0.876 0.10TR9 CID 0.887 9.40TR10 IC 0.870TR12 CID 0.873 4.80TR13 IC 0.988TR14 CID 0.901 3.70TR17 CID 0.855 13.70TR18 CID 0.916 3.301 CID 0.927 29.143 CID 0.830 1.676 CID 0.950 0.29

21 CID 0.910 0.9022 CID 0.950 1.1824 CID 0.950 0.0525 CID 0.870 1.5728 CID 0.850 0.5930 CID 0.840 0.2036 CID (destr.) 0.944 11.5044 IC 0.814 ±46 CID 0.839 1.7648 CID (destr.) 0.830 1.5752 CID 0.909 19.3254 CID (destr.) 0.876 0.9857 CID (destr.) 0.918 29.3264 CID (destr.) 0.809 0.4966 CID (destr.) 0.842 19.32A EXT.B EXT.

m

constant. The yield stress is about 18 MPa. At higher stresses, a dramatic decrease in

stiffness, connected with the ``destructuration'' phase, can be observed in Fig. 2b. Then

stiffness gradually increases, as in ``non-structured'' soils. Unloading and reloading

cycles demonstrate the non-reversible nature of the strains and the stiff behaviour of the

material during these cycles.

Similar results were obtained on other samples (see Fig. 3). The experimental

results are scattered, but the dependence of the yield stress on void ratio is evident: the

higher the initial void ratio, the lower the yield stress. The average yield stress is

20 MPa. After yield the e-log(p0) curves are parallel to each other. A normal

compression line (NCL) similar to that obtained for soils, has been drawn in Fig. 3.

The slope of this line is 0.389. The unloading and reloading lines are rather ¯at.

Despite the presence of signi®cant interparticle bonding, the e-log(p0) curves are

similar to the curve obtained for reconstituted and overconsolidated clays. The presence

of a ``structure'' does not produce the typical shape with a point of in¯ection that

has been demonstrated in several structured soils (Leroueil and Vaughan, 1990). A

comparison between the behaviour of different structured materials has already been

presented by Aversa (1991) and Aversa et al. (1993).

4. Drained Triaxial Tests

The mechanical behaviour of the Fine-Grained Tuff along stress-paths approaching

failure is in¯uenced by the value of the mean effective stress.

Some drained triaxial test results are shown in Figs. 4a and 5a. Volumetric strains

vs. axial strain curves are reproduced in Figs. 4b and 5b.

When the effective con®ning pressure is low, the behaviour is approximately linear

up to failure, which occurs at low values of axial strains (about 0.5%). In this range the

stress-strain relation is really linear-elastic, as con®rmed by Tatsuoka (1995) who

performed some drained and undrained triaxial tests on Fine Grained Tuff measuring

The Mechanical Behaviour of a Pyroclastic Rock 29

Fig. 1. Isotropic compression test on sample 44: volumetric strains vs. time for different load steps

m

S. Aversa and A. Evangelista30

Fig. 2. Isotropic compression test on sample T13: a void ratio vs. mean effective stress; b bulk modulus vs.mean effective stress

Fig. 3. Isotropic compression tests: void ratio vs. mean effective stress

m

locally axial strains by means of special internal devices. After peak, suddenly the

strength decreases signi®cantly (brittle behaviour). The strength reduction is less

evident as the con®ning effective stress increases; that is, brittleness decreases as the

effective con®ning pressure rises. The stress-strain curves approach a constant strength

value. At higher values of the effective con®ning pressure, the behaviour is signi®-

cantly different. The material shows a linear-elastic behaviour only in the ®rst part of

the stress-strain curve, which then turns into a strain hardening elasto-plastic behaviour.

Failure is reached after large axial strains (up to 20%). Before yield, the uniaxial mod-

ulus of deformability of the materials is practically independent of both deviatoric and

mean effective stresses. Tuff dilates only at very low effective con®ning pressures (below

1 MPa). The maximum rate of dilatancy occurs only after peak, as usual for soft rocks

and many ``structured'' soils (Aversa, 1991). Similar results were obtained by Lagioia

(1994) who observed on a soft calcarenite that dilatancy occurred only after peak.

In an intermediate range of con®ning pressure the experimental data show a

The Mechanical Behaviour of a Pyroclastic Rock 31

Fig. 4. Drained triaxial tests at low mean effective stresses: a deviatoric stress vs. axial strain; b volumetricstrain vs. axial strain

m

contractant behaviour associated with a well-de®ned brittle behaviour. In other soft

rocks such as the calcarenite tested by Elliot and Brown (1985), the transition from

dilatant to contractant behaviour coincides with the change from strain softening to

strain hardening behaviour.

In general, in the case of large strains, when the deviatoric stress reaches a constant

value, the volumetric strains are not yet stabilised. For this reason, this state can be

de®ned as ultimate and not as critical.

The material was subjected also to some uniaxial compressive and uniaxial ten-

sile tests. The uniaxial tensile strength was on average 10% of the mean uniaxial

compressive strength.

5. Strength Criterion

As shown in the previous paragraph, when the con®ning pressure is low, a peak and an

ultimate strength value can be measured, but when it is high only an ultimate value can

be recorded.

S. Aversa and A. Evangelista32

Fig. 5. Drained triaxial tests at high mean effective stresses: a deviatoric stress vs. axial strain; b volumetricstrain vs. axial strain

m

Both ultimate and peak strength points are reported in Fig. 6. The ultimate strength

points are well interpolated by means of a linear relation (Mohr-Coulomb criterion)

passing through the origin of the axis. The slope M of this line is 1.28, that corresponds

to an angle of shear resistance J0� 358220.

Looking at the enlargement of the ®gure at low mean stresses (see Fig. 7) it is

evident that the ultimate strength points are located above the ultimate strength

envelope. Within this stress range, a power function (the chain dotted line in Fig. 7)

®ts the experimental data much better. This feature has also been noticed by Lefebvre

(1970) with reference to sensitive clays. According to Aversa et al. (1993) this feature

was due to dilatancy in correspondence to the ultimate state condition.

The Mechanical Behaviour of a Pyroclastic Rock 33

Fig. 6. Proposed strength criterion

Fig. 7. Enlargement of Fig. 6 at low stresses

m

Peak strength points have been interpolated by a power function similar to that

suggested by Adachi et al. (1981), modi®ed so as to take into account the possibility for

the material to sustain tensile stresses. The criterion is expressed by the following

equation:

q

p1

� ap0� p0

t

p1

� �b

�2�

in which p1 is an arbitrary reference pressure and a and b are non-dimensional

coef®cients whose values depend on the choice of the reference pressure p1. The term

p0t represents the intersection of the curve with the p0 axis. The values of a, b and p0

t have

been obtained through a trial and error procedure. The values of the coef®cients

calculated for p1 � 1 MPa are shown in Table 3. The Mohr-Coulomb criterion was also

used to ®t the peak strength points (see Fig. 6). The cohesion c0 resulted equal to

2.4 MPa while the angle of shear resistance was 288220.

Both the criteria don't ®t very well the experimental data. The power function is

preferred because the Mohr-Coulomb criterion overestimates the strength of the

material at both negative and high (more than 10 MPa) mean pressures.

The unsatisfactory interpolation of the peak strength points can be partly attributed

to the large scatter of the values of initial porosity of the samples. In order to take into

account this effect on the yield locus a normalisation criterion based on Critical State

Soil Mechanics has been used in the next paragraph. The left part of the yield curve,

before the intersection with the ultimate strength line, can be considered as a peak

strength criterion corrected on the basis of porosity.

6. Yield Surface

Yield stresses were determined for each sample on the basis of the results of isotropic

and triaxial tests (see Fig. 8). The scatter of the yield points can be ascribed partly to the

different values of the initial porosity and partly to a different bonding degree and other

structural features. As shown in Fig. 3, the isotropic yield stress increases signi®cantly

as the initial porosity decreases. As a matter of fact, samples with lower porosity values

exhibit higher yield stresses. According to a normalisation procedure suggested by

Critical State Soil Mechanics with reference to soils, the in¯uence of the initial porosity

S. Aversa and A. Evangelista34

Table 3. Coef®cients for theproposed criterion for peak

strength

Coef®cient Value

a 3.26b 0.64p0

t 1.3 MPa

m

can be eliminated by dividing the yield stress by a reference pressure p00. This pressure

is the mean effective stress corresponding to the intersection of the recompression line,

relative to the initial porosity of the sample, with the isotropic compression line. This

kind of normalisation (see Fig. 9) actually reduces the scatter of the data signi®cantly,

but it cannot prevent it as normally happens when the tuff mechanical parameters are

correlated with porosity. According to Evangelista and Aversa (1994), other structural

features of tuff (e.g. degree of interparticle bonding) in¯uences the mechanical

behaviour of the material. The normalised yield points can be interpolated by means

of a yield curve derived from the Modi®ed Cam-Clay, developed at the end of `60 for

describing the behaviour of clays (Roscoe and Burland, 1968), revised in order to make

The Mechanical Behaviour of a Pyroclastic Rock 35

Fig. 8. Yield stresses in the q ÿ p0 plane

Fig. 9. Yield stresses in the normalized plane q=p00 ÿ p=p0

0 and representation of the proposed yield curve

m

allowances for the uniaxial tensile strength of the tuff:

q

p00

� �2

� R2 p0

p00

�p0

tr

p00

� �1 �

p0tr

p00

� �ÿ

p0

p00

�p0

tr

p00

� �2" #

�3�

in which p0tr=p

00 is the absolute value of the negative intersections of the yield curve with

the p0=p00 axis; R is the ratio between the vertical and horizontal axes of the ellipse. The

parameter R does not necessarily coincide with the slope M of the ultimate strength

line, as in Critical State Soil Mechanics. The values of the parameters R and p0tr=p

00 were

obtained with a trial and error procedure, ®xing p0tr=p

00 and computing R by means of a

least square technique. The ®nal values of the parameters, shown in Table 4, are that

which maximised the coef®cient of correlation.

7. Behaviour of Destructured Samples

Seven tuff samples were subjected to isotropic compression tests with a maximum

effective mean stress p0� 40 MPa. After unloading, the samples were subjected to

standard drained triaxial stress-paths within a wide range of effective con®ning

pressures (j03 � 0:1 4 30 MPa).

The stress-strain behaviour exhibited by one of these tests during the isotropic

compression phase is sketched on a diagram e-log(p0) (see Fig. 10).

S. Aversa and A. Evangelista36

Table 4. Coef®cients for theproposed yield criterion

Coef®cient Value

R 1.24P0

tr=p00 0.01

mean p00 20 MPa

mean p0tr 200 kPa

Fig. 10. ``Destructuration'' phase: void ratio vs. mean effective stress

m

The yield stresses measured along this stress path are approximately equal to

20 MPa. After yield, the samples experienced volumetric strains which varied from

case to case, and averaging 10%. In this phase partial ``destructuration'' took place

which was accompanied by a strain-hardening effect with an increase of isotropic yield

stress. In Fig. 11 the stress-strain behaviour obtained from a drained triaxial test on a

previously destructured sample and the behaviour of an intact sample subjected to the

same con®ning stress (j03 � 0:1 MPa) are compared. The comparison between devia-

toric stress-axial strain curves (see Fig. 11a) clearly shows that ``destructuration''

brings about a signi®cant reduction in peak strength and stiffness, but it has no

signi®cant in¯uence on the ultimate strength.

The stress-strain curve of the destructured sample still shows a brittle behaviour.

The decrease in strength after peak is still signi®cant, as typically occurs when a shear

surface develops in a structured material. This observation may prove that the

``destructuration'' induced during isotropic compression is not complete. Larger

The Mechanical Behaviour of a Pyroclastic Rock 37

Fig. 11. Comparison between intact and destructured samples in drained triaxial tests at low mean effectivestresses: a deviatoric stress vs. axial strain; b volumetric strain vs. axial strain

m

volumetric strains (i.e. larger isotropic stresses) are probably required in order to

completely destroy the structure of this tuff.

The comparison between volumetric strain-axial strain curves (see Fig. 11b) shows

that ``destructuration'' decreases dilatancy, which is probably due to reduced rough-

ness of the failure surface. Similar results were obtained on other destructured samples

tested at small effective con®ning pressures.

At high effective con®ning pressures, the combination of ``destructuration'' and

porosity reduction (i.e. isotropic yield stress increase) has different effects. The stress-

strain behaviour determined by a drained triaxial test performed at high effective

con®ning stresses (j03 � 11:7 MPa) on a previously destructured sample is compared

with the behaviour of an intact sample tested at the same effective con®ning pressure

(see Fig. 12). The comparison between deviatoric stress-axial strain curves (see

Fig. 12a) clearly shows that the yield stress is higher in the partially destructured

sample than in the intact one. In this stress range the effect of porosity reduction

prevails on partial ``destructuration''.

S. Aversa and A. Evangelista38

Fig. 12. Comparison between intact and destructured samples in drained triaxial tests at high mean effectivestresses: a deviatoric stress vs. axial strain; b volumetric strain vs. axial strain

m

The ultimate strength does not seem to be signi®cantly in¯uenced by ``destructura-

tion''. Unfortunately, the test on the intact sample did not show a full development of

the ultimate strength. The comparison between volumetric strain-axial strain curves

(see Fig. 12b) shows that lower volume changes occur during tests performed on the

destructured samples which had already experienced signi®cant volumetric strains in

isotropic compression. Similar results were obtained on other destructured samples

tested at high values of effective con®ning pressure.

The peak and ultimate strength points derived from tests carried out on destructured

tuff samples were compared with the failure envelope obtained on intact tuff (see

Fig. 13). Peak strength points lie signi®cantly below the peak strength curve obtained

on intact tuff, whereas the ultimate strength points lie very close to the corresponding

curve obtained on intact material, as already mentioned. For purpose of comparison, the

curved envelope of Fig. 7 is also drawn in Fig. 13.

In order to point out the in¯uence of ``destructuration'' on the yield surface, the

yield points obtained on the destructured samples are compared with the intact tuff

yield curve in the dimensionless plane q=p00 ÿ p0=p0

0 (see Fig. 14). With this diagram the

``destructuration'' effect can be represented and the effect of the porosity reduction can

be hidden, since it is automatically taken into account when the normalisation

procedure is applied. The yield points of the destructured samples lie deeply inside

the yield curve for the intact material. The intact and destructured material yield curves

are represented in the natural plane q ÿ p0 (Fig. 15) so that the combined effect of

``destructuration'' and porosity reduction can be shown. This effect consists in an

increase of the maximum diameter of the ellipse and a reduction of the ratio between

the minimum and the maximum diameters. A translation of the intercept with the

negative p0 axis is also observed. The ellipse indicated with the solid line is an

homotetic enlargement of the yield surface of intact material: it represents the

The Mechanical Behaviour of a Pyroclastic Rock 39

Fig. 13. Peak and ultimate strength of destructured samples compared with the strength criterion of intactsamples

m

theoretical yield surface of a material that does not experience ``destructuration'' when

the isotropic yield stress increases from 20 MPa to 40 MPa.

8. Conclusions

An extensive research programme was carried out on a volcanic tuff known as Fine-

Grained Tuff after the ®ne and homogenous grain size of its constituent particles.

Oedometric test results have already been published by Aversa et al. (1991). This paper

reports exclusively on the results of isotropic and drained triaxial test. The most

S. Aversa and A. Evangelista40

Fig. 14. Yield stresses of destructured samples compared with the yield curve of intact samples in thenormalized plane

Fig. 15. Evolution of yield curve during isotropic compression

m

important ®ndings can be brie¯y summarised as follows:

a) The isotropic compression test results are very similar to the data obtained on

reconstituted and overconsolidated clays, with a very well-de®ned yield stress. The

yield stress depends on the value of the initial void ratio of the sample. A normal

compression line can be de®ned for this material.

b) The mechanical behaviour during the triaxial tests is in¯uenced by the value of the

con®ning pressure. The stress-strain relation is linear-elastic before a very well-

de®ned yield stress. The after-peak decrease in strength, if any, is very abrupt.

c) A strength criterion has been proposed. A power function interpolates the peak

strength points; a linear function is used for the ultimate strength points.

d) The yield stress values depend on the initial porosity of the material, in both

isotropic and triaxial tests. A normalisation procedure based on Critical State Soil

Mechanics has been adopted successfully to reduce the scatter of the data, although

this is not eliminated. Yield points lie very close to the proposed yield surface,

which is derived from the Modi®ed Cam-Clay yield surface.

e) Triaxial tests on previously destructured samples have shown a reduction in stiffness

and peak strength. The ultimate strength does not seem to be affected by

``destructuration''. Even yield stresses are in¯uenced by ``destructuration''; the

yield surface is modi®ed in size and shape.

Acknowledgements

This research was carried out with the ®nancial support of the Ministerio dell'UniversitaÁ e dellaRicerca Scienti®ca e Tecnologica (MURST) and of the Consiglio Nazionale delle Ricerche(CNR).

The experimental work which this paper is based on was performed by three undergraduatestudents (Rosaria Pilegi, Bianca Travi and Antonella Feola) as their Bachelor Theses. The authorswish to thank them for the enthusiasm they showed in working at the Laboratory.

References

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Authors' address: Dr. Stefano Aversa, UniversitaÁ degli Studi di Napoli Federico II, FacoltaÁdi Ingegneria, Dipartimento di Ingegneria Geotecnica, Via Claudio 21, I-80125 Napoli, Italy.

S. Aversa and A. Evangelista: The Mechanical Behaviour of a Pyroclastic Rock42

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