Structural design of polymer protective coatings for reinforced concrete structures. Part II: experimental verification.
Kamaitis, Zenonas
Abstract. The ingress of various gases, liquids and ions from the
environment is responsible for the deterioration of concrete structures.
A large number and variety of protective surface treatments and coatings
on the base of polymers have been developed for application to concrete
surfaces in those instances, where special protection against aggressive
attack is necessary. At the same time, new protective systems are
continually appearing, whose adaptability to specific environments must
in every case be proved. Semi-empirical predictive models for the
deterioration over time are presented enabling design of coatings with
required barrier properties. This paper describes the performance of a
system based on inden-coumarone resins over a wide variety of exposures
and application conditions and presents recommendations for design of
such protective coatings.
Keywords: reinforced concrete, polymer coatings, physical/chemical
resistance, diffusion, shrinkage and thermal stresses, reliability.
1. Introduction
Coatings may have a thickness ranging from approximately 100
[micro]m up to several milimeters. The task of thin film-forming surface
sealers is to reduce the permeability of the surface to liquids/water,
oxygen, carbon dioxide, chlorides and other aggressive man-made or
atmospheric pollutants. The thick-bonded polymer mortar or polymer
concrete overlays have to control the corrosion process and sometimes to
provide fatigue, impact or abrasion resistance as well as structural
strengthening effect.
Various types and formulations of polymer materials as coatings
(epoxies, acrylics, polyesters, polyurethane, phenolics, vinyl ester and
silicone resins, and others) for the specific application have been
developed [eg 1-10] and majority of them are commercially available.
Recently, the Carbon Fiber Reinforced Polymer (CFRP) wrapping is used as
protective barrier [eg 11, 12]. But there is little information about
its pre-corrosion effect. It should be noted that many coatings
available for protection of concrete vary widely in their basic
constituents and, therefore, in their uses. The variety of environmental
actions and barrier materials results that the experience gained in one
application is not transferable to other areas. Different polymers
respond in different ways to the influence of aggressive chemical
environments. At the same time, new protective systems are continually
appearing, whose adaptability for specific environments must in every
case be proved. A search of new compositions for coatings requires at
the same time a semi-empirical prediction of their properties to
facilitate coating design. However, the theoretical justifications of
various polymer protection systems for concrete structures are still in
question and further research on their effectiveness is needed [13].
A number of investigations was carried out on the mechanical
properties and durability of polymer-based materials, surface
preparation for coatings and coating evaluation in laboratory or in-situ
conditions. Although, there are only limited attempts to provide
satisfactory analytical methods which can be used for design of polymer
coatings. Mechanisms of degradation, limit state definition and
principles of designing polymer coatings are presented [14].
The objective of this paper was to summarise the results of the
author's experience on investigation, theoretical prediction of
properties and application of polymer resin coatings IKAS used for
protecting RC structures in liquid aggressive environments with the aim
to illustrate the use of design procedures outlined in the author's
preceding paper [14].
2. Prognosis of polymer coatings protective properties
The damaging process in polymer coatings is governed mainly by
permeability/diffusion and chemical/ physical degradation due to the
losses in intermolecular cohesion and interaggregate adhesion leading to
breakdown of its chemical structure, which can be viewed as a
degradation of the mechanical properties and thickness losses [14].
Coating thickness changes in a particular aggressive environment or a
depth of degradation x(t) is a function of the initial coating thickness
[d.sub.pc] and the time t:
x(t) = f ([d.sub.pc]; t). (1)
Assuming that the degree of degradation of mechanical properties
(or penetration) varies with time the changes of coating thickness
[d.sub.pc](t) can be obtained as follows:
[d.sub.pc](t) = [d.sub.pc](t)[[phi].sub.d](t). (2)
Different polymers respond in different ways to the influence of
aggressive environments. The time-dependent monotone decreasing
degradation function [[phi].sub.d](t) can be expressed in different
forms (linear, parabolic, square root etc) with the following boundary
conditions:
at t = [t.sub.0], [[phi].sub.d] ([t.sub.0]) = 1,0, at t =
[t.sub.d], [[phi].sub.d] ([t.sub.d]) = [[phi].sub.min],
where [t.sub.d] is target or design time of coating.
Mechanical damage of coatings is here modelled by introducing a
simple exponential degradation model in the form of
[[phi].sub.d](t) = exp (-[lambda]t) (3)
or
[d.sub.pc](t) = [d.sub.pc] exp(-[lambda]t), (4)
where [d.sub.pc] is initial coating thickness at t = 0; [lambda] is
the rate of degradation.
From Eq (4) the required initial coating thickness is:
[d.sub.pc] = [d.sub.pc](t)exp([lambda]t). (5)
From Eq (5) the service time of coating is expressed as
[t.sub.p] = 1/[lambda] ln [d.sub.pc]/[d.sub.min], (6)
where [d.sub.min] is minimum acceptable coating thickness
indicating an allowable extent of coating degradation to be
unserviceable.
If [t.sub.pc] < [t.sub.d], where [t.sub.d] is design time of
protective barrier, the periodic recoating is required. In general, the
rate of degradation [lambda] is difficult to determine. In this study,
the values of [lambda] were determined from regression analysis of the
experimental results.
The limit state of damage of polymer coating may be represented as
follows:
g(t) = [d.sub.pc](t)-[d.sub.min][greater than or equal to] 0, (7)
g(t) = [nt.sub.pc] - [t.sub.d][greater than or equal to] 0, (8)
where n is number of recoating.
Due to randomness of coating deterioration and its time-variant
nature, it is justifiable to model coating deterioration as stochastic
process. The survivor function of protective coating can be expressed as
follows:
P{[t.sub.pc]} = P{d.sub.pc](t)[greater than or equal
to][d.sub.min]}[greater than or equal to][PHI]([[beta].sub.T]) for
0<t[less than or equal to][t.sub.d] (9)
or in life time format
P{[t.sub.pc]} = P{nt.sub.pc]-[t.sub.d][greater than or equal
to]0}[greater than or equal to][PHI]([[beta].sub.T]) for 0<t[less
than or equal to][t.sub.d]. (10)
If [d.sub.pc] and x(t) [or [d.sub.pc](t)] are treated as a normal
random variables, then
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.], (11)
where [micro]* and [sigma]* are the mean and standard deviation of
*; [P.sub.targ] is a target reliability.
3. Experimental investigation of polymer coatings
3.1. Coating materials
Research involving the evaluation of various synthetic resin
systems has been conducted to establish essential performance criteria
required for design of protective coatings and its field of
applications. The protective coating systems tested included
commercially available epoxy, polyester and copolymers of
indenecoumarone-acrylate (IKAS) to determine effects of formula
variations on the mechanical properties and physical/ chemical
resistance. The viscosity, pot life, thickness of coating,
physical/chemical resistance, and cost vary with the grade of filler or
aggregate used in the formulation. Three types of coatings, based on
resin content were investigated: mastics, mortars or polymer concrete
corresponding to high-, medium- or low-resin content. The polymer
compounds were composed of polymer resins, hardeners or accelerators
containing various types (cement, silica, andesit, diabase) and
quantities of mineral filler (ratio of binder to filler from 1:0 to 1:5
by weight) or filler and mineral aggregate (from 1:6 to 1:14). An
analysis of the strength test results obtained indicated that fillers,
desirable for compound economy, improve abrasion and impact resistance
and minimise shrinkage during curing as well as coefficient of thermal
expansion closely approximated that of concrete.
Epoxy and polyester resin systems have been widely investigated and
have the longest history of satisfactory use and is not presented here
due to limited space of the paper. Less well-known are low-cost IKAS
resins. The main emphasis was on the physical/chemical resistance of
polymer compositions and application of design procedures of coatings to
use them for anticorrosion works.
The coating systems IKAS have the properties given in Table 1.
3.2. Assessing service life and performance
The durability models were applied to the experimental results of
the author's research program, which has been reported previously
[2]. In this reference tests program and procedures are reported in
detail and are not presented here due to limited space of paper.
Two basic mechanism of deterioration of coatings IKAS in liquid
chemical solutions were used to analyse the performance of polymer
coatings, including mechanical degradation and calculating diffusion
through the polymer coating.
3.2.1. Chemical/physical resistance
The performance of polymer coatings can be predicted using Eqs (5)
and (6) by assuming that the degradation function (ratio of the polymer
composite strength at time t, [f.sub.p](t), to initial strength at t =
0, [f.sub.p0]), of polymer can be expressed by the following exponential
function:
[[phi].sub.R](t) = [[phi].sub.R](t) = [f.sub.p]/[f.sub.p0] =
exp(-[lambda]t), (12)
where [lambda] is the degradation rate, which is assumed as
constant for a given material and exposure environment and is obtained
experimentally according to following procedure.
Taking natural logarithms of both sides of Eq (12) for time
[t.sub.i], we get ln [[phi].sub.Ri] = -[lambda][t.sub.i] Having for the
set of times [t.sub.i] the values of [[phi].sub.Ri] and using the
minimum sum of square errors procedure [summation][n.sub.i][([lambda]
[t.sub.i]+ln[[phi].sub.Ri].sup.2] = min we obtain
[lambda] = -[summation][n.sub.i][t.sub.i]ln[[phi].sub.Ri]/
[summation][n.sub.i][t.sup.2.sub.i], (13)
where [n.sub.i] is the number of specimens tested at time
[t.sub.i].
As an example, Table 2 contains some values of [lambda] calculated
using Eq (13). The performance of polymer coatings then can be
calculated using Eqs (5) and (6). When [d.sub.min] is set equal, for
example, to 0,1 mm, the required thicknesses of protective coatings for
different life cycles are summarised in Table 2. When initial coating
thickness, [d.sub.pc], is known, the time between recoating is obtained
from Eq (6). If required, coating thickness of mastics exceeds approx 5
mm, the thicker mortar or polymer concrete coatings should be designed.
Aggressive actions as well as material and geometric properties of
coatings may vary substantially. Therefore, the durability of coatings
has to be evaluated by reliability-based analysis.
The life time prediction of coatings can be formulated in a
probabilistic form as follows:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.]. (15)
If [d.sub.min] = const, then
P{[[micro].sub.d] -
[d.sub.min]/[[micro].sub.d](t)[V.sub.d]}[greater than or equal
to][p.sub.targ]. (15)
The mean function of coating deterioration [[micro].sub.d](t) is in
the form of
[[micro].sub.d](t) = [[micro].sub.d] exp(-[lambda]t), (16)
where [[micro].sub.d] is mean value of initial coating thickness at
t = 0; [V.sub.d] is coefficient of variation of coating thickness.
The relationships between reliability and time for different
aggressive exposures are presented in Fig 1. The service life of
coatings is defined as the time when the reliability of the particular
coating falls below an acceptable level. The level of acceptable
reliability can be established based on performance requirements or
economic considerations. For example, an acceptable probability of
coating degradation of 0,1 may be specified, representing a reliability
of 0,9. As can be seen fro Fig 1, the coatings have a water transmission
rate clearly higher than the other substrates tested. Their resistance
to acids and alkalies is moderate and very good in salts.
[FIGURE 1 OMITTED]
The parametric sensitivity analysis of predictive techniques may be
demonstrated by evaluating the reliability of the coatings over various
times for differing design parameters. For example, consider the
parameters shown in Table 3. Coefficient of variation was determined
experimentally. The experimental measurements of coating thickness
suggest that [V.sub.d] is in the range of 0,15-0,25.
Some results of computed life times of coatings are presented in
Figs 2-4. As can be seen, life times of coatings are closely related to
exposure conditions, initial and admissible coating thicknesses.
[FIGURES 1-4 OMITTED]
The results of analysis in Fig 2 indicate the reduction up to
approx 40 % in service life as the allowable minimum coating thickness
is increased from 0,05 to 0,15 mm. As the initial average coating
thickness is increased from 1 to 5 mm, the service life increases no
more than approx 2 times (Fig 3). The expected service life decreases
slightly with the increase in COV of the initial coating thickness from
0,15 to 0,25 (Fig 4).
3.2.2. Diffusion process
As was shown in [14], the performance of polymer coatings can be
modelled based on Fick's diffusion law as follows
c(x, t) = [c.sub.0](1 - erf x/2[square root of Dt]), (17)
where c(x;t) and [c.sub.0]are concentration of aggressive agents at
depth x after time t and on surface, respectively; D--apparent diffusion
coefficient of coating; erf--the standard error function.
When c(x;t) is set equal to the aggressiveness threshold level [c.sub.cr], Eq (17) is solved for x = [d.sub.pc]. When x = [d.sub.pc]
and [c.sub.x] = [c.sub.cr], Eq (17) is solved for t = [t.sub.pc].
The time [t.sub.pc] is highly sensitive to diffusion coefficient
and [c.sub.x] values. For low values of D and relationship
[c.sub.x]/[c.sub.0] approaching one, a very large time is required for
the aggressive agents to diffuse through the coating reaching the
concrete surface or threshold level [c.sub.cr]. For high values of D and
[c.sub.x]/[c.sub.0] values that are much less than 1,0 the predicted
time to be shorter. The values for the parameters [c.sub.x]/[c.sub.0]
and D are not presently known with certainty. The exact concentration of
aggressive agents on the concrete surface, [c.sub.cr], to initiate
deterioration of coating depends on several factors. D may be constant
or a function of different variables, such as time, temperature,
concentration, location etc. Frequently for simplicity it is assumed
that D is independent of time.
In order to cause the loss of protection ability of thin coating
due to diffusion process, aggressive agents must penetrate the coating
([t.sub.c]) and destroy the adhesion between coating-substrate
([t.sub.adh]), leading to delamination and cracking of coating
([t.sub.cr]), i e, when degradation signs are visible. Thus, the
lifetime of the coating is defined as [14]:
[t.sub.pc] = [t.sub.c] + [t.sub.adh] + [t.sub.cr]. (18)
As can be seen from Eq (18) different definitions of
uncerviceability of coating can divide [t.sub.pc] in three life cycles.
For example, in this paper it was assumed that the coating limit state
develops when corrosion agents reach the concrete surface, ie
[t.sub.pc]= [t.sub.c] or [c.sub.x]/[c.sub.0] = 0 in Eq (17). The
diffusion coefficient was determined experimentally. The values of D
between 0,09 x [10.sup.-6] and 0,656 x [10.sup.-6] [mm.sup.2]/s were
obtained for exposure conditions presented in Table 2. The D
coefficients obtained were very similar to the diffusion coefficients of
other polymer coating systems recorded in other works. According to Eq
(18), predicted time [t.sub.pc] to the first repair of coatings of
[d.sub.pc] = 5 mm are in the range only of 1 year that is deemed to be
unrealistic and very conservative for assessing the coating life time.
Coatings in various exposure conditions observed in industry structures
performed better than the design procedure assumes. It seems that design
shows a considerable degree of conservatism since they showed no
evidence of failure after exposure of 5-10 years.
Eq (17) can be solved for ratio [c.sub.x]/[c.sub.0] using
experimental values of D and assuming that t = [t.sub.pc] from Eq (6)
(see Table 2). The mean value of [c.sub.x]/[c.sub.0] obtained was 0,789
with the coefficient of variation of 2,3 %.
The time periods [t.sub.adh] and [t.sub.cr] for destroying adhesion
and delamination of coating until acceptable level [that can be
expressed by the relationship [c.sub.cr]/[c.sub.0] in Eq (17)] are
attributed to many factors and in every specific case need to be
determined.
From the present analysis it is evident that the values for the
parameters in Eqs (17) and (18) are not known with certainty and the
design of coatings on the basis of diffusion process is a very complex
phenomenon.
3.2.3. Shrinkage and thermal stresses
Polymer coatings have to resist cracking and rebounding due to
curing contraction stresses and thermal stresses under service
conditions.
The shrinkage (internal) stresses were determined experimentally
(Fig 5). They vary parabolically from zero at t = [t.sub.0] to a maximum
at t = [t.sub.cr]([approximately equal to] 24 h). Through the mechanism
of relaxation, the peak stress in the polymer mastic will tend to be
reduced. The remaining stress is then approximately one-third of the
maximum.
[FIGURE 5 OMITTED]
Table 4 shows the ratio of the maximum shrinkage stress
([[sigma].sub.sh.max]) to the ultimate tensile strength ([f.sub.pt]) at
t = 24 h of various polymer mixes. This relation is chosen to illustrate
the relative possibility of shrinkage cracking of the different mixes.
The shrinkage cracking probability of polymer coatings IKAS, evaluated
using the reliability-based assessment, is presented in Table 4. It can
be seen that shrinkage cracking probability is very low. This is proved
during the visual inspections of industry building floors on large
areas, chemical storage tanks, and industrial chimneys, where no visual
evidence of distress of mastic coatings after its application and curing
was recorded.
The weathering tests, involving freeze-thaw and heating, show that
a softening action occurred of coatings resulting in increased
elongation and decreased modulus of elasticity and tensile strength (Fig
6).
[FIGURE 6 OMITTED]
As was shown in [14], the shrinkage and thermal stresses can be
found using hyperbolic functions or stress intensity factor, [K.sub.I].
For practical purposes more simple well-known expressions can be used.
Shrinkage stresses in coating can be computed as follows:
[[sigma].sub.sh.max] = 0,3 [[epsilon].sub.sh][E.sub.pc]/1 - [micro]
(19)
and thermal stresses as
[[sigma].sub.T] = [E.sub.pc]([[alpha].sub.pc] -
[[alpha].sub.con][DELTA]T/1 - [micro], (20)
where [[epsilon].sub.sh], [E.sub.pc] and [micro] are shrinkage
strain, modulus of elasticity and Poisson's ratio of the coating,
respectively; [[alpha].sub.con] and [[alpha].sub.pc] are coefficient of
thermal expansion of the substrate and coating layer, respectively.
From the solution of Eq (19) for [[epsilon].sub.sh] = 0,0065,
[E.sub.p] = 1154 MPa and [micro] [approximately equal to] 0,4 at t = 24
h the value of 3,75 MPa is obtained for [[alpha].sub.sh.max]. The
agreement between the calculated (3,75 MPa) and test (3,50 MPa, see
Table 4) results is fairly good.
The remaining shrinkage stresses at time t in the coating are
obtained as follows [14]:
[[sigma].sub.sh](t) = [[sigma]sh.max][K.sub.t.rel]. (21)
Coefficient of relaxation is given by the following equation:
[K.sub.t.rel] = [[beta].sub.t] exp (- t - [t.sub.cr]/[t.sub.rel]),
(22)
where [[beta].sub.t] is a non-dimentional constant for a given
material; [t.sub.rel] is a relaxation time.
From test data [[beta].sub.t] = 0,586; [t.sub.cr]= 24 h;
[t.sub.rel] = 96 h. Comparison between test results and values predicted
by Eq (22) indicate a close agreement as represented by Fig 5.
The temperature stresses can be established with similar
expression:
[[sigma].sub.T](t) = [[sigma].sub.T][K.sub.T.rel] (23)
with coefficient of relaxation
[K.sub.t.rel] = exp (- t - [t.sub.cr]/[[beta].sub.T]), (24)
where [[beta].sub.T] is a constant for a given material.
If [T.sub.0] > [T.sub.c], [t.sub.cr]= [T.sub.0];
if [T.sub.0]< [T.sub.c] [T.sub.c] r = [t.sub.c].
[T.sub.0] is the temperature below which only elastic strains
occur; [T.sub.c] is the initial temperature at the time of coating
completion.
The rate of curing of polymer materials varies considerably with
temperature and may be inhibited at temperatures below +10 [degrees]C.
Normally the temperatures of application of coating, [T.sub.c], between
+ 10 [degrees]C and +25 [degrees]C are recommended. In the analysis
discussed here it was assumed that after curing of coating a temperature
is suddenly applied and remains constant during operation.
Temperature stresses should always be considered in addition to
those resulting from shrinkage. Fig 6 shows the comparison of the
maximum residual stresses ([[sigma].sub.sh] + [[sigma].sub.T]) to the
ultimate tensile strength ([f.sub.pt]) of polymer coating. It is assumed
that Poisson's ratio remains constant during temperature changes.
This, if only approximately true, will in general simplify the stress
analysis. After application and curing of coating ([T.sub.c]
[approximately equal to] + 18-20 [degrees]C) the total stresses due to
shrinkage and positive temperature changes will be reduced due to the
reduced elastic modulus and relaxation process. The tensile elastic
stresses ([K.sub.T.rel] = 1) in negative temperature areas may be of the
magnitude sufficient to cause coating cracking and to destroy the bond
between coating and concrete. Seeking to use polymer materials IKAS as a
protective treatment on actual highway bridge structures, to improve its
resistance to salt scaling of concrete has been not successful. It is
recognised, however, that these materials can show delamination under
severe cyclic climatic conditions.
4. Application
The low viscosity IKAS compounds (mastics and mortars) resist
attack and penetration of water, variety of chemicals, salts, petrol,
caustics. They have excellent adhesion to concrete, abrasion and
weathering resistance. Coatings have a water transmission rate clearly
higher than the other substrates tested. They are not resistant to
organic solvents, acetic acid and have limited resistance to heat.
Coatings tend to yellow on exposure to sunlight, but this yellowing does
not seem to affect the protective properties of the coatings. In
general, IKAS coatings have good durability, although not as good as
epoxy coatings, but the later are more expensive.
The barrier protection may be needed for preventing the
chemical/physical attack on concrete in such places as industrial
floors, chemical storage tanks, industrial chimneys, and bridge
structures. Some experimental mastic, resin mortar and resin concrete
surfacing were designed for specific applications as water-treatment
works, reservoirs, sewage works, self-levelling industrial floors and
ground for storage of salts. Thickness varies from 2 mm for light-duty
use to 5 mm for heavy-duty use.
Detailed information about the properties of polymer compositions
IKAS and the field of their application is given in the book [2].
5. Conclusions
This paper has demonstrated that proposed deterioration mechanism
and limit state functions can be efficiently applied to assess the
service life and performance of protective polymer coatings under
different liquid exposure conditions. Polymer coatings IKAS protect
concrete against a variety of chemicals which are mildly aggressive.
Based on the experimental results from previous investigations, the
models (5), (6), (7) and (8) were proposed to calculate the design
parameters of polymer coatings. Once the parameter of deterioration,
[lambda], is predetermined for various polymer coatings and exposure
conditions, this approach results in a simple and reliable method for
determining coating performance. The design of coating parameters based
on diffusion process [see Eq (17)] is highly sensitive to diffusion
coefficient and [c.sub.x]/[c.sub.0] values which are not well defined.
By using reliability as a measure of performance [see Eqs (14), (15) and
(16)], decisions concerning material selection, thickness of coating,
maintenance schedules, repair and rehabilitation of polymer coatings can
be made throughout the lifecycle of protective structures.
One important requirement for polymer coatings is maintaining
cracking resistance and adhesion to concrete surface during formation of
coating or temperature changes in service. Large stresses can develop as
a result of expansion mismatches between constituent materials. The
prediction of shrinkage [Eq (19)] and temperature [Eq (20)] stresses
taking into account relaxation process [Eqs (22) and (24)] is developed.
The predictions and experimental data are in good agreement.
The predictive techniques, described within this paper, have been
successfully applied for the prediction of service life of coatings in
chemical storage tanks in the factories of light industry.
Received 20 Feb, 2006; accepted 18 May 2006
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GELZBETONINIU KONSTRUKCIJU POLIMERINIU APSAUGINIU DANGU
PROJEKTAVIMAS. II DALIS. EKSPERIMENTINE PATIKRA
Z. Kamaitis
Santrauka
Gelzbetoniniu konstrukciju irimas del korozijos yra daznas
reiskinys. Konstrukcijos gali buti apsaugotos antikorozinemis
polimerinemis dangomis. Norint efektyviai naudoti ivairias polimerines
dangas, reikia nustatyti ju agresyviojoje aplinkoje ribinius buvius ir
siu buviu patikrinimo metodika.
Straipsnyje pateikiami pusiau empiriniai dangoms projektuoti
metodai, kuriu naudojimas parodytas IKAS dangu, esanciu skystojoje
chemineje aplinkoje, pavyzdziu. Remiantis eksperimentiniais tyrimais ir
ju duomenimis, nustatyti dangu irimo mechanizmai ir ju greitis, kurie
panaudoti dangu parametrams apskaiciuoti deterministiniais ((5) ir (6)
formules ir 2 lentele) ir tikimybiniais ((14), (15) ir (16) formules)
metodais. Parodyta ivairiu projektavimo parametru jautrumo itaka.
Svarbus dangoms reikalavimas yra ju atsparumas pleisejimui ir sukibimas
su betono pavirsiumi. Pateikta formuojamu dangu traukumo itempiu ir
isores temperaturos pokyciu itempiu, ivertinant ju relaksacijos
procesus, apskaiciavimo metodika ((19), (20), (22) ir (24) formules).
Pateikti polimeriniu dangu tyrimai naudoti IKAS dangoms
projektuoti, ivairiu cheminiu tirpalu gelzbetoniniams rezervuarams
apsaugoti.
Reiksminiai zodziai: gelzbetonines konstrukcijos, polimerines
dangos, fizinis (cheminis) atsparumas, difuzija, traukumo ir
temperaturiniai itempiai, patikimumas.
Zenonas Kamaitis Dept of Bridges and Special Structures, Vilnius
Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius,
Lithuania. E-mail: zenonas.kamaitis@ts.vtu.lt
Zenonas KAMAITIS. Dr Habil, Prof Emeritus at the Dept of Bridges
and Special Structures. Member of IABSE since 1999. Author and co-author
of more than 150 publications, including 6 books. Research interests:
concrete structures and bridges, materials, durability, monitoring, and
refurbishment.
Table 1. Properties of IKAS systems
Unfilled compounds
Viscosity, cps at +20 [degrees]C 600-900
Density, g/[cm.sup.3] 1,02-1,12
Gel time, min 120-180
Peak exothermal temperature, [degrees]C 150-170
Shrinkage, % 2,0-2,5
Filled coatings (mastics, polymer concrete)
Tensile strength, MPa 9-10
Compressive strength, MPa 80-90
Flexural strength, MPa 18-22
Flexural modulus, MPa (0,2-0,6) x [10.sup.4]
Coefficient of linear extension (3-4) x [10.sup.-5]
Table 2. Coatings durability computed according to Eqs (5),
(6) and (13)
Required [d.sub.pc] (mm)
[lambda], after t years, see Eq (5)
Type of chemical solution 1/year, see
Eq. (13) 5
Water, ~+20 [degrees]C 0,184 0,250
[H.sub.2][SO.sub.4], 10 % 0,138 0,190
[H.sub.2]S[O.sub.4], 30 % 0,131 0,192
NaOH, 10 % 0,089 0,156
NaCl, ~+20 [degrees]C 0,043 0,124
NaCl, ~+40 [degrees]C 0,095 0,160
Petrol 0,092 0,158
Hypochlorite 0,073 0,140
Caustic soda, 33 % 0,081 0,150
[Na.sub.2]S[O.sub.3], 2 % 0,099 0,164
Acetic acid, 5 % 0,701 3,330
Weakly organic acidic 1,028 >5
solution
Required [d.sub.pc] (mm) after t
years, see Eq (5)
Type of chemical solution
10 20
Water, ~+20 [degrees]C 0,630 3,960
[H.sub.2][SO.sub.4], 10 % 0,397 1,580
[H.sub.2]S[O.sub.4], 30 % 0,371 1,370
NaOH, 10 % 0,243 0,593
NaCl, ~+20 [degrees]C 0,154 0,236
NaCl, ~+40 [degrees]C 0,259 0,668
Petrol 0,250 0,630
Hypochlorite 0,210 0,430
Caustic soda, 33 % 0,225 0,505
[Na.sub.2]S[O.sub.3], 2 % 0,269 0,724
Acetic acid, 5 % >5 -
Weakly organic acidic - -
solution
Service life [t.sub.pc] (years)
with [d.sub.pc] (mm), see Eq (6)
Type of chemical solution
1 2 5
Water, ~+20 [degrees]C 12,5 16,3 21,3
[H.sub.2][SO.sub.4], 10 % 16,7 21,7 28,3
[H.sub.2]S[O.sub.4], 30 % 17,6 22,9 29,8
NaOH, 10 % 25,8 33,7 43,9
NaCl, ~+20 [degrees]C 53,5 69,8 90,9
NaCl, ~+40 [degrees]C 24,2 31,6 41,2
Petrol 25,0 32,6 42,5
Hypochlorite 31,5 41,1 53,6
Caustic soda, 33 % 28,4 37,0 48,3
[Na.sub.2]S[O.sub.3], 2 % 23,2 30,3 39,5
Acetic acid, 5 % 3,30 4,30 5,60
Weakly organic acidic 2,20 2,90 3,80
Solution
Table 3. Typical coating parameters
Variables Distribution Mean
[m.sub.d]
Initial coating Normal 1 mm
thickness, [d.sub.pc]
2 mm
5 mm
Admissible
coating thick-
ness, [d.sub.min] Normal 0,05 mm
0,10 mm
0,15 mm
Rate of degra-
dation Constant [lambda] 1/year
Variables Cov [s.sub.d]
mm
Initial coating 0,15 0,15
thickness, [d.sub.pc] 0,25 0,25
0,15 0,30
0,25 0,50
0,15 0,75
Admissible 0,25 1,25
coating thick-
ness, [d.sub.min] 0,25 0,0125
0,25 0,0250
0,25 0,0375
Rate of degra-
dation 0 0
Table 4. Maximum shrinkage stresses for various polymer mixes
[[sigma].sub.sh.max], Mpa
Mixes [m.sub.[sigma]] [s.sub.[sigma]]
[1:0.sup.1] 2,42 371
[1:1.sup.1] 2,90 410
[1:2,25.sup.1] 3,50 343
[1:5,87.sup.2] 2,35 122
[1:8,20.sup.3] 1,97 320
[1:14,35.sup.3] 1,10 85
[f.sub.pt], MPa
Mixes [m.sub.f] [s.sub.f]
[1:0.sup.1] 4,5 540
[1:1.sup.1] 5,9 679
[1:2,25.sup.1] 7,5 780
[1:5,87.sup.2] 3,9 351
[1:8,20.sup.3] 3,5 281
[1:14,35.sup.3] 2,5 275
[m.sub.f]/ Cracking 1 mastic
Mixes [m.sub.[sigma]] probability, 2 resin mortar
[P.sub.f] 3 resin concrete
[1:0.sup.1] 1,86 7,40 x 10.sup.-4]
[1:1.sup.1] 2,03 0,78 x 10.sup.-4]
[1:2,25.sup.1] 2,14 0,013 x 10.sup.-4]
[1:5,87.sup.2] 1,66 0,15 x 10.sup.-4]
[1:8,20.sup.3] 1,77 1,59 x 10.sup.-4]
[1:14,35.sup.3] 2,27 0