[0001] The present invention relates to a method for the splitting or cleavage of stone
material in the form of slabs, amongst which may be mentioned porphyry, Lucerne stone
and Lessinia or Prun stone, but not only these. Such materials are generally used
as building material in the form of slabs, in particular, for the construction of
wall coatings, kerbs for pavements, tracks for cobblestone pavings, and floorings
or coatings and facings in general.
[0002] The stone materials in the form of slabs of interest for the present invention are
ignimbritic effusive products. Ignimbrite is a rock that is formed following upon.deposition
of pyroclastic material that is expelled together with gas from volcanic structures
in the form of
nuée ardente, which during cooling gives rise to a suspension containing solid material (crystals,
lapilli, ash, pumices, etc.) and liquid material (lava). The pyroclastic material,
during its flow and then during its cooling, consolidates and acquires a typical pseudofluidal
appearance, assuming, that is, a specific sub-vertical ribbon-shaped appearance characterized
by parallel stratifications. Macroscopically ignimbrites present very fractured crystals
basically of quartz and feldspar, elongated pieces of pumices or lapilli in a generally
vitreous pseudofluidal matrix. The colour ranges from light grey to pale pink and
to light red.
[0003] Use of these stone materials in the form of slabs in the building sector is enabled
by the possibility of producing slabs of stone by manually performing a cleavage of
the starting block of stone. Cleavage can take place because the natural stratifications
of these materials correspond to planes of discontinuity with low energy content,
the presence of which enables splitting/cleavage of the block of stone, which, as
has already been said, is still even today performed manually.
[0004] The aim of the present invention is to provide a method for the splitting or cleavage
of stone materials in the form of slabs which can be implemented industrially and
does not call for the manual activity of a skilled craftsman.
[0005] The proposed technical solution envisages carrying out cleavage by means of a thermal
treatment of the starting stone material. In particular, the stone material is heated
to a high temperature, and is then cooled rapidly, in conditions such as to prevent
thermal shock in the stone material, a shock which could be followed by the partial
or even complete shattering of the stone material itself.
[0006] According to the invention, the above purpose is achieved thanks to the solution
referred to specifically in the ensuing claims.
[0007] The invention will now be described in detail, purely by way of non-limiting example,
with reference to the annexed plate of drawings, wherein:
- Figure 1 presents the graph of the temperature within a block of porphyry as a function
of the distance from the surface;
- Figure 2 represents the orientation of the cartesian axes and of the reference block;
- Figure 3 presents the graph of the stresses σY within the specimen along the axis X;
- Figure 4 represents the profile of the stresses σY for different initial temperatures
of treatment of the specimen;
- Figure 5 represents the relation between maximum temperature applied and maximum surface
stress generated following upon cooling of the specimen;
- Figure 6 represents the graph of the stresses σY within the core of the specimen in the direction X;
- Figure 7 illustrates the effect of the geometry of the specimen on the stress σY; and
- Figure 8 illustrates the effect of the dimensions of the specimen on the stress σY.
Preliminary theoretical treatment
[0008] The technical problem of cleavage of stone materials along their planes, of discontinuity
was initially faced theoretically so as to determine the variables involved and select
their most appropriate values to achieve the desired technical result, i.e., the splitting/cleavage
of the stone material along its planes of discontinuity - also defined as slip planes
- without shattering of the stone material.
[0009] Initially, some evaluations were made regarding the stay time in the furnace for
heating the starting stone material, the maximum temperature to which the material
can be heated, and the genesis of the stresses in the specimen during cooling.
[0010] The specimen virtually used for this theoretical treatment was a parallelepiped/slab
of stone material with variable width, length and thickness of the slabs.
Stay time in the furnace for homogenization of the temperature
[0011] For calculation of the heating times recourse was had to one-dimensional theory.
In this approximation, the transmission of heat is given by the formula:
where T is the temperature at the point x, T
s is the surface temperature, T
i is the initial temperature of the specimen, t is the stay time in the furnace and
the thermal diffusivity, which, for the material forming the subject of the analysis;
corresponds to 1.4 x 10
-6 m
2/s.
[0012] With an initial temperature of the block of porphyry of approximately 25°C and an
applied surface temperature of approximately 400°C, it was calculated that 7 - 8 hours
are required for heating in the furnace to obtain a temperature equal to the one applied
to the surface, i.e., approximately 400°C, at a depth of 10 cm from the surface.
[0013] In Figure 1, we can analyse the graph of the temperature as a function of the distance
from the surface of the block of rock for a stay time in the furnace of approximately
one hour, for two applied surface temperatures, 400°C and 250°C. It appears evident
that, after one hour of heating, at the depth of 1 cm from the surface a sufficiently
high temperature is reached, comparable to the surface temperature.
Maximum sustainable temperature
[0014] For the calculation of the temperature of thermal shock, i.e., the temperature beyond
which the material breaks in a brittle way along any planes, considering the material
isotropic where planes of discontinuity or slip planes are not present, the following
formula was used:
where σ
st is the strength of the material,
Tc is the temperature within the core (Figure 2),
Ts is the surface temperature,
α is the coefficient of thermal expansion, and, finally,
E and
v are the elastic modulus and Poisson's ratio, respectively.
[0015] The equation (0.2) is valid in the case of a slab and hence of a plane stress.
[0016] Considering that the fracture strength of the material under examination is approximately
22 MPa, Poisson's ratio
v is equal to 0.3, the coefficient of thermal expansion α is approximately 5.55 x 10
-6 °C, if the surface temperature is 25°C, by applying the equation (0.2), a temperature
within the core of the specimen of approximately 477°C is obtained, which causes thermal
shock.
Genesis of the stresses in the specimen
[0017] In order to determine the stresses that are generated within the specimen during
sudden cooling, some computer simulations were conducted, assuming water as reference
fluid and Trentino porphyry as material.
[0018] The model considered simplifies the conditions of thermal exchange: heat exchange
on the surface of the real specimen is of a convective type, whereas in the model
a constant surface temperature is maintained.
[0019] The evaluation of the state of stress of the specimen immersed for 1 s in cold water
(at a temperature of 20-25°C) reveals that the maximum generation of stress takes
place instantaneously. In particular, it has been calculated that the stress in the
direction Y (see Figure 2 for the orientation of the axes of the cartesian system,
S
Y) is the greatest stress, and that it is precisely this stress that is responsible
for cleavage of the specimen along the low-energy planes, which, in the tests reported
herein, were perpendicular to said axis.
[0020] It was shown that the stress is maximum at the core and, for a specimen with a thickness
of 15 cm, assumes a value of approximately 16.9 MPa. This value was calculated for
a homogeneous temperature of 400°C within the specimen prior to cooling. The simulation
enabled verification of the fact that at 400°C for the geometry tested no thermal
shock occurred since the fracture strength of porphyry is approximately 22.5 ± 3.3
MPa.
[0021] Also the stresses generated throughout the cross section of the specimen were calculated,
and the values obtained show how the gradient of stress generated by sudden cooling
is localized principally in the surface portion of the specimen itself, given that
the material is a poor conductor of heat.
[0022] From the above consideration, it follows that it is not necessary to reach a homogeneous
temperature during cooling throughout the specimen to have cleavage: in fact, during
cooling the maximum value of the tensile stresses is located on the surface, and the
gradient goes to zero in the surface layer of the material, i.e., within 1-2 cm from
the surface.
[0023] Figure 3 represents the profile of the stresses σ
y within the core of the specimen in the direction X. The profile was calculated for
an initial temperature of treatment of 500°C, which experimentally proved unsuitable:
the specimen in fact shattered and was not cleaved. The profile of the stresses σ
y confirms the experimental data: the values of tensile stress on the surfaces of the
specimen are very close to the fracture strength of porphyry. Furthermore, it appears
from Figure 3 that the stress profile at a depth of 1 cm from the surface goes to
zero, showing that also the thermal gradient becomes negligible at the same distance.
[0024] Figure 4 gives the stress profiles as in Figure 3 but calculated for different temperatures
of treatment. From this graph it emerges that, for a temperature of 450°C, a stress
of approximately 19 MPa is reached on the surface, a value which falls within the
confidence interval of the fracture strength of porphyry.
[0025] Figure 5 gives the values of the maximum surface stress (σ
y) as a function of the initial temperature of treatment. This graph enables calculation
of the temperature of start of treatment as a function of the state of stress that
it is intended to obtain. It may be inferred from the graph that the temperature of
450°C is likely to be the maximum limit of temperature to which porphyry can be heated;
presumably, once this temperature is exceeded thermal shock occurs in the cooling
step.
Procedures and materials used
[0026] The method according to the present invention used for the cleavage of a specimen
of stone material in the form of a slab consists in heating the specimen in the furnace,
taking it out when hot and immersing it in a fluid or liquid at relatively low temperature,
with the aim of generating a state of tensile stress within the specimen so that the
cleavage is obtained along the planes of discontinuity.
[0027] To verify the goodness of the procedure defined, a number of tests were conducted
using specimens of porphyry with dimensions of 12 cm x 13 cm x 18 cm. The specimens
contained planes of discontinuity orthogonal to the directions of shear.
[0028] For heating the specimens an electric furnace having a power of 4.2 kW was used,
with the capacity of reaching the maximum temperature of 1200°C and with a chamber
of dimensions 21 cm x 15 cm x 30 cm.
[0029] For cooling a bath was used containing a volume of water equal to 50 cm x 35 cm x
20 cm. The initial temperature of the cooling water was approximately 20-25°C.
Experimental results
a) Test at 500°C
[0030] A specimen was put into the furnace at 25°C, the temperature was raised to 500°C,
and the specimen was left inside the furnace for approximately 8 hours. Finally, it
was taken out using steel pliers and immersed immediately in water at a temperature
of approximately 20-25°C.
[0031] The specimen was cleaved not only along the planes of discontinuity but also along
planes having orthogonal lies, an event that indicates that thermal shock has occurred
and not cleavage along the slip planes. This behaviour is in accordance with what
was previously envisaged for the application of temperatures higher than 477°C.
b) Test at 400°C
[0032] In this case, the procedure described above was followed, with the temperature of
the furnace, however, set at 400°C.
[0033] The presence of two planes of cleavage corresponding to the slip planes present emerged.
[0034] Subsequently, other tests were conducted with a new series of specimens in which
five planes of discontinuity were present.
Specimen 1
[0035] Insertion into the furnace at a temperature of 25°C
[0036] Final temperature of the furnace: 400°C
[0037] Stay time in the furnace: 2 hours
[0038] The time of heating of the specimen in the furnace was set at two hours, without
achieving a homogeneity of temperature within the specimen prior to cooling in water.
[0039] The specimen was cleaved - as expected - along the lies of the planes of discontinuity
in a regular way without there having occurred thermal shock in any point of the specimen.
This fact was confirmed by the observation of the surface morphology: no sign of thermal
shock was noted, but only a sharp and clean cleavage along a plane of discontinuity.
Specimen 2
[0040] Insertion into the furnace at a temperature of 25°C
[0041] Final temperature of the furnace: 450°C
[0042] Stay time in the furnace: 7 hours
[0043] The second specimen was subjected to more drastic conditions of treatment: a sharp
cooling starting from a temperature of 450°C.
[0044] Cleavage occurred along the lies of the five planes of discontinuity, as in the reference
specimen treated manually. Unfortunately, the treatment was too drastic, thus leading
to fractures due to thermal shock outside the planes of discontinuity. This event
was consequent upon the attainment of values of the stresses within the specimen comparable
to the fracture strength of isotropic porphyry (i.e., considered without slip planes).
Specimen 3
[0045] Insertion into the furnace at a temperature of 25°C
[0046] Final temperature of the furnace: 300°C
[0047] Stay time in the furnace: 8 hours
[0048] This test showed that also a temperature of 300°C with a time sufficient for achieving
thermal homogeneity of the specimen - in this case equal to 8 hours - is sufficient
to obtain a cleavage along the planes of discontinuity present in the specimen. Six
pieces were obtained as in the reference specimen.
[0049] It was found that a weaker plane of discontinuity had split in the furnace during
the heating step; the heating step can in fact generate stresses, albeit of a smaller
amount than those generated during the cooling step.
Specimen 4
[0050] Insertion into the furnace at a temperature of 25°C
[0051] Final temperature of the furnace: 250°C
[0052] Stay time in the furnace: 8 hours
[0053] The temperature of heating, 250°C, proved sufficient to bring about cleavage of porphyry
along a surface plane of discontinuity, but not such as to enable propagation of the
cleavage throughout the slip plane.
[0054] The stresses generated by a thermal jump of this amount seem to be sufficient to
cleave the stone material only along the "weaker" planes of discontinuity.
Specimen 5
[0055] Insertion into the furnace at a temperature of 25°C
[0056] Final temperature of the furnace: 300°C
[0057] Stay time in the furnace: 1 hour
[0058] The result obtained was favourable: notwithstanding the brevity of the stay time
of the specimen in the furnace, cleavages were obtained on four planes of discontinuity
as.expected. This result shows that the thermal gradients during cooling are prevalently
superficial and that, consequently, also the stress profiles seem to be localized
prevalently in the surface layer and presumably within the first centimetre of depth.
[0059] It consequently appears sufficient to raise the temperature only of a surface layer
of the specimen to obtain its cleavage along the planes of discontinuity.
Processing of the data collected
Calculation of the fracture strength of the planes of discontinuity
[0060] Represented in Figure 6 is the graph of the stress S
Y in the core of the specimen in the direction x (Figure 2). The profile of the stress
in Figure 6 was calculated for a specimen of porphyry simply heated homogeneously
to a temperature of 250°C. This temperature was chosen because, on the basis of the
tests conducted, it is deemed that this temperature is likely to correspond to a lowest-limit
temperature to obtain cleavage along the lies of the planes of discontinuity of a
block of porphyry. In particular, reference was made to the procedure of cleavage
of Specimen 4. Specimen 4 had two planes of discontinuity both at a distance of 3
cm from the planes XZ. Whereas one of the two planes of discontinuity split completely,
the other was only marked on the surface where the advance of the cleavage stopped.
It is consequently reasonable to believe that the stress generated by heating the
specimen to a temperature of 250°C and reaching said temperature only in a surface
layer at a depth of approximately 3 cm of the specimen is sufficient to reach the
fracture strength of the slip planes. From Figure 6 it emerges that at a distance
of 3 cm from the surface XZ the tensile stress is equal to approximately 10 MPa. On
the basis of this datum and knowing that the fracture strength of porphyry is equal
to or higher than 19 MPa, it may be presumed that, in order to cleave porphyry along
the planes of discontinuity without causing thermal shock in the material, it is useful
to generate in the material values of tensile stress of between 10 MPa and 19 MPa.
Analysis of sensitivity
[0061] Thanks to the values calculated it is now possible to carry out an analysis of sensitivity
along the axes X, Y, Z with the purpose of evaluating the variations of the maximum
stress as a function of the dimensions and geometry of the specimen.
[0062] For a more effective analysis, the temperature of treatment was arbitrarily set at
430°C, since this temperature is sufficiently high to obtain high values of stress
but also sufficiently low to prevent thermal shock.
[0063] Represented in Figure 7 is the effect of the geometry of the specimen on the generation
of the stresses. To study the geometrical effect, the parameter t, i.e., the thickness,
was made to vary keeping fixed the parameter c/b (see Figure 2 for the definition
of the parameters t, b and c). The latter ratio is an indicator of shape of the specimen.
For c/b = 1 the specimen is a parallelepiped with a square base whilst by increasing
the ratio c/b the basic figure is increasingly lengthened.
[0064] From an analysis of the graph of the stress σ
y, given in Figure 7, it emerges that a specimen with a high c/b is in a more drastic
condition, i.e., that it has a stress profile higher than a specimen with a square
base. Furthermore, it was found that for b greater than approximately 12 cm, the maximum
stress σ
y that is generated becomes constant.
[0065] This phenomenon occurs because, by increasing the areas of thermal exchange, also
the thermal exchange itself increases: this effect is found as long as the areas do
not become so large that the thermal exchange is only limited by the coefficient of
thermal diffusion of the material.
[0066] Represented in Figure 8 is the effect of the dimensions of the specimen on the generation
of the stresses. The geometry of the specimen was arbitrarily fixed with a square
base. The thickness t was made to vary, taking into consideration different dimensions
of the base. From an analysis of the graphs reproduced in Figure 8 it is found that,
if the thickness t is equal to or greater than that of the base sides b and c, the
stress along Y is maximum since the thermal exchange occurs prevalently along faces
XY and ZY rather than ZX. For smaller values of t, the stress S
Y assumes a lower value. With reference to a practical example, a square slab of side
b = 1 m is taken: it will break on the slip planes only for thicknesses greater than
approximately 35 cm, given that, for t = 350 mm, S
Y > 10 MPa.
References
[0067]
1. Paolo Tomio, Fiorino Filippi, "Il manuale del porfido", E.S.PO.
2. Bruno A. Boley, Jerome H. Weiner, "Theory of thermal stress", Dover Publications Inc.
3. Frank P. Incropera, David P. De Witt, "Fundamentals of heat and mass transfer", J. Wiley & Sons.
1. A method for the cleavage of a block of stone material comprising the following steps:
i) heating of said block; and
ii) cooling of said block.
2. The method according to Claim 1, characterized in that said cleavage occurs along planes of discontinuity (known as slip planes) of said
block.
3. The method according to Claim 1, characterized in that said heating step has a duration of between 10 minutes and 8 hours.
4. The method according to Claim 3, characterized in that said heating step has a duration of between 10 minutes and 4 hours.
5. The method according to Claim 3, characterized in that said heating step has a duration of between 10 minutes and 2 hours.
6. The method according to Claim 1, characterized in that said heating step envisages heating said block at a temperature of between 100 and
600°C.
7. The method according to Claim 6, characterized in that said heating step envisages heating said block at a temperature of between 100 and
500°C.
8. The method according to Claim 7, characterized in that said heating step envisages heating said block at a temperature of between 300 and
400°C.
9. The method according to Claim 1, characterized in that said cooling step has a duration of approximately 10 seconds.
10. The method according to Claim 1, characterized in that said cooling step envisages cooling said block in a liquid at a temperature of between
15 and 50°C.
11. The method according to Claim 10, characterized in that said cooling step envisages cooling said block in a liquid at a temperature of between
15 and 30°C.
12. The method according to Claim 11, characterized in that said cooling step envisages cooling said block in a liquid at a temperature of between
20 and 25°C.
13. The method according to Claim 1,
characterized in that said heating step envisages heating of said block at a temperature lower than the
temperature of thermal shock of said block, where said maximum temperature of heating
Tc is given by the equation:
where σ
st is the strength of the stone material constituting said block,
Tc the temperature at the centre of said block,
Ts the surface temperature of said block, α the coefficient of thermal expansion of
the stone material constituting said block, and finally
E and
v the elastic modulus and Poisson's ratio, respectively, of the stone material constituting
said block.