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Analysis of the Degradation Process of Sand-Lime Plasters Under the Impact of Crystallization Pressure

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INTRODUCTION

The harmful effect of moisture absorbed by individual elements from the surrounding environment is of significant importance for the durability of building materials. This fact is of great practical significance because moisture has a negative effect on many properties of building materials as well as the utility value of the entire building structure. Proper protection of a building against a the harmful effects of moisture is an important technical and economic problem. The dampness of building material may be affected by: process water, groundwater, precipitation, sorption moisture, water vapour condensation on the surface or inside building components and flood waters [1, 2, 3]. Moisture is not an unambiguous concept; this term is understood as vapour, moisture so-called sorption or film water and water in the liquid state. Sorption or capillary moisture and the condensation of water vapour on the surfaces or inside building elements are related to both the outdoor climate and the microclimate of the room. The causes of dampness can also include any leaks in external envelopes as well as those in water installations and sewage or drainage systems. Thus, it seems that water may be the cause of many unfavourable phenomena occurring in capillary-porous materials. Capillary phenomena occurring in porous materials can lead to the development of versatile capillary pressure, which significantly increases the mechanical strength of the material. Additionally, under certain thermal and humidity conditions, a pressure drop can be expected, which may lead to the damage of building material. Water can also be a factor supporting the emergence of other unfavoruable phenomena, causing a synergistic effect. The pore liquid usually contains easily soluble compounds that can cause salt crystallization processes, generating high pressures.

The article presents the analysis of internal basement wall plasters, in view of theoretical and practical aspects, which in terms of moisture sources were particularly exposed to the harmful effects of moistness. The method of tensile strength measuring of plaster samples was presented along with the obtained results. The issue of polar-symmetric deformation of a thick-walled spherical tank was adopted, which yielded a relationship with the porosity of plasters. The analysis of the degradation process of the actual plasters was supported by basic chemical tests.

Degradation effects on internal plasters

The article investigates internal basement wall plasters, especially the effects of their improper use. For this purpose, the results of author's research in the form of selected technical expertise accounts involving various building structures were used. The said expert opinions were developed in the years 1990÷2020 [4].

The article presents only some of the characteristic cases of damage to internal plasters observed in the examined buildings [4]. All the buildings are constructed in brick traditional technology. The following three buildings were examined: a school building constructed in traditional technology before 1945 (Poland), a two-family residential building completed at the beginning of the 20th century (Germany) and single-family residential building constructed in 1934 (Poland).

The damaged roof drainage pipe in the school building was the source of significant dampness, which caused numerous discolouration of the plaster as well as the development of mold fungi. The consequences of the damage were found both in the basement of the examined building and in its aboveground part. Intense dampness in the basement was caused as well by a failure of the water supply system in a two-family residential building.

Degradation of basement plasters occurred as well in the basement of a single-family building (Fig. 1). Its construction was completed in 1934. No proper vertical waterproofing was provided at that time. Such insulation was not installed until 2004. Therefore, for many years the basement walls had been exposed to groundwater infiltration. As a result of these phenomena, many fragments of walls or plasters were affected by moistness, observed up to the height of the adjacent ground. The interiors of the examined buildings were in different technical conditions. The main factors that contributed to the observed damage include a lack of proper drainage system in the buildings, lack of proper waterproofing protection, lack of proper care for the technical condition of buildings and failures and leaks in water installations.

Figure 1.

Degradation of basement wall plaster in the single-family residential building [4]

Essence of the plaster structure

Interior plasters are very important building elements, widely used in general construction. The most commonly used ones comprise cement-based plasters with the use of other materials such as lime and gypsum or lime-gypsum plasters. Progressively more plasters are improved with various additives, even polymeric and organic ones [5, 6].

The classical technology of cement materials describes their functional characteristics in terms of mixture composition, he proportion of components and technological parameters.

By examining the composition of mortar cement paste we can distinguish the following elements of the structure [7]:

hydration products C-S-H gels with a layered structure, constituting over 80% of all hydration products,

full-crystalline hydration products, e.g. Ca(OH)2,

non-hydrated cement grains,

semi-bound, adsorptive water,

free water, filling up larger pores,

other ingredients such as free lime, air, filler grains (aggregate).

The mentioned elements make up a structure in which solid grains (of the filler, cement) are surrounded by hydration products in the form of consolidated gels having the nature of solid particles. The existing pores are filled up with water (pore liquid) and air [7]. Plaster mortar as a cement-based material, as a multi-component material, is a very complex system. During its hardening, the transformation of the individual phases takes place, whereof role and meaning are changing. In fresh material, the basic role in terms of workability is played by the particles with which capillary phenomena are related, i.e. grains of sand, cement or ash, as well as water. In the hardened material, the most significant are the particles which are active in terms of physicochemical properties, i.e. cement grains, as well as the liquid phase (pore liquid) and gas phase separated by liquid meniscuses that control capillary phenomena [1, 7, 8, 9]. The porosity of the paste depends primarily on the w/c ratio. As we know, full hydration of cement is obtained with about 20% of water, which corresponds to the w/c ratio = 0.25, and usually it is much higher [1, 7, 9]. The excess of water has an impact on the share of large capillary pores. The share of these pores - initially very large, decreases as the hydration process is progressing. The pores are filled up with hydration products, and the proportion of molecular (gel) pores, typical for the C-S-H phase, increases [10]. A special role in the obtained structure is played by gel pores and capillary pores [1, 7], which differ in size. Gel pores constitute about 28% of the total gel volume [1,9]. As the hydration process progresses, the volume of gel pores increases, while the volume of capillary pores decreases.

Characteristics of porous materials

Porous materials are mainly characterized by their effective porosity, defined as the quotient of the volume of connected pores and the volume of the material [11]. Pores vary in shape and size. As determined by IUPAC (International Union of Pure and Applied Chemistry) [10], pores are conventionally divided by their diameter into: micropores (d < 2 nm), mesopores (2 nm 50 nm), macropores (d > 50 nm). Macropores in materials with well-developed surfaces make up a small fraction of their volume, but they play a decisive role in the transfer of moisture to mesopores and micropores. Mesopores are accountable for transport, and on their surface the adsorption of moisture particles takes place. Micropores are the basic carrier of sorption properties [11].

For a liquid, properties such as wettability and capillarity are associated with surface tension. Wettability is understood as the ability of a liquid to cover the surface of a solid. The measure of wettability is defined as the contact angle of the solid phase with the liquid one [1, 9, 11]. Capillarity is defined as the behaviour of a liquid in thin tubes with a diameter d< 10−7m (capillaries), in which we observe the rise (or fall) of the liquid column. The capillary action results in water soaking into porous materials, moisture rising in walls and migration of water in the sub-soil. Liquid water state in comparison to sorption moisture is able to dissolve mineral salts and contributes to the movement of them. There is no such ability in the case of sorption moisture.

Different pore sizes are connected with a flow of capillary water [9]. In that sense pores can be as: micropores (d < 10−7m, no capillary action), capillary pores (10−7–10−4m, capillary action), air pores (d > 10−4 m, capillary breaking). Water is absorbed in porous materials in either liquid or vapour form. All types of pores are able to absorb water vapour. The other factor governing the pores, in which condensation will occur, is the relative air humidity. Small pores, i.e. microspores or gel pores, fill up at very low relative humidity through condensation in the capillaries. The larger the pores, the higher the prevailing relative air humidity must be for condensation to occur. Capillary porous or air pores, can only be filled when the dew point is reached, i.e., the relative humidity must be nearly 100%. The uptake of liquid water is also related to the pore size. Whereas small pores, such as micropores and gel pores, stop absorbing water after a while, capillary pores will continue to absorb it as long as there is a water supply. Large air pores can only absorb water under pressure. This means that the level of saturation in the porous material is due to capillary water absorption [12].

Crystallization pressure

Plaster mortar coatings, as porous materials, are exposed to the action of water, which is connected with the expansion of the material filling up the pores. This expansion is related to the crystallization of certain chemical compounds in the capillaries of the porous material. The phenomenon of salt crystallization has a very negative impact on the durability of the material, and therefore they have been investigated by many researchers [7, 13,14,15,16,17,18,19]. Correns [15] formulated an equation that allows calculating of the crystallization pressure: Pcryst=RT/Vmln s {{\rm{P}}_{{\rm{cryst}}}} = \left( {{\rm{RT}}/{{\rm{V}}_{\rm{m}}}} \right) \cdot {\rm{\;ln\;s}} where: Pcryst – crystallization pressure [MPa], R – gas constant (8.3145 J/mol·K), T – absolute temperature [K], Vm – molar volume [cm3/mol], s – supersaturation/degree of a solution [−].

As can be seen from equation (4), the supersaturation degree of a solution significantly influences the value of crystallization pressure.

The authors of the work [17] found that ettringite in the first phase of sulfate corrosion seals the pores of the material, which is manifested by the increase in strength. However, with further growth of the crystals, very high internal stresses develop. For example, the crystallization pressure at the transition of CaSO4 into CaSO4·2H2O is approx. 110 MPa [17]. Salt crystallization processes have been studied by Kurdowski [7], Scherer [16], Szeląg [17], as well as by the authors of the study [5]. Studies on modelling of salt solution migration or crystallization phenomena in plasters or renders can be observed in the works of Falchi et al. [20], Huinink et al. [23], Petkovic et al. [24, 25].

Analyzed models in these works refer especially to physical properties, not mechanical ones.

The problems of salt formation in renovation plasters on salt-laden substrates and the problem of plaster resistance depending on its type and structure were analyzed in the work [21].

The study [22] discusses the most important factors influencing the risk of damage caused by the action of salt, taking into account both the service life of the repaired plaster and the the conservation requirements of the existing building. Properties and utility parameters of various plaster categories were defined and reviewed. In all these studies, similar conclusions can be formulated regarding the importance of the properties of wall substrate and plaster for the transport of water and salt, and in particular: moisture diffusion, distribution and volume of pores.

The works [23,24,25] discuss research studies on the transport of salts and their accumulation in plaster, depending on pore distribution and the structure of porosity in plaster and substrate. Following the analysis of the results of the studies, we can conclude that the transport and accumulation of salts in the plaster as well as the drying of the system plaster/substrate depend on pore size distribution both in the plaster and in the substrate.

The research on the salinity of plasters with the use of a test simulating salinity conditions was carried out in the work [26]. They designed ageing tests simulating water movement, ice formation and crystallization of salts in lime mortars applied to plaster historic buildings with the aim to determine their strength properties. It was found that the response of mortar blends differs depending on the mechanism and attack factor, choice of an appropriate methodology for determining durability, and it depends on various factors, such as binder content, aggregate ratio, and binder to sand ratio. The research on the impact of the porosity structure of renovation plasters on salt crystallization as well as on the durability of these plasters was investigated in the works [27, 28]. The findings demonstrated that the type of pore size and pores distribution in renovation plasters significantly influenced the speed of their drying and the crystallization of salts, and thus their durability. This confirms the essence and effectiveness of renovation plasters, which are very useful, especially in historical buildings. It is worth noting that the studies on lime mortars for plastering historic buildings were also carried out in the work [26].

In the tables above, using the Correns formula [15] (equation 1), the values of the crystallization pressure of ettringite, portlandite and brucite are presented. Following the analysis of crystallization pressures for the compounds (Tabl. 1A, 1B, 1C) we can conclude that the degree of supersaturation “s” according to the equation (1) has a very large impact on their values. And temperature has a minor influence on the values of these pressures. Therefore in the article, crystallization pressures associated with the water-ice phase transformations will not be analyzed, since the observations were limited to indoor rooms, where the temperature was not lower than 10°C.

Crystallization pressure of ettringite for different temperatures and supersaturation degrees

s Pcryst [MPa]
273.15 K 283.15 K 293.15 K
1 0 0 0
1.1 4.35 4.51 4.67
1.5 18.52 19.20 19.88
2 31.66 32.82 33.98
5 73.52 76.21 78.90
10 105.18 109.03 112.88

R = 8.3145 J/(mol·K), ρ = 1.77 g/cm3, Vm = 49.718 cm3/mol, M = 88 g/mol

Crystallization pressure of portlandite for different temperatures and supersaturation degrees

s Pcryst [MPa]
273.15 K 283.15 K 293.15 K
1 0 0 0
1.1 12.76 13.23 13.69
1.5 54.28 56.27 58.26
2 92.80 96.19 99.59
5 215.46 223.35 231.24
10 308.26 319.54 330.83

R = 8.3145 J/(mol · K), ρ = 2.24 g/cm3, Vm = 16.964 cm3/mol, M = 38 g/mol

Crystallization pressure of brucite for different temperatures and supersaturation degrees

s Pcryst [MPa]
273.15 K 283.15 K 293.15 K
1 0 0 0
1.1 16.88 17.50 18.12
1.5 71.83 74.46 77.09
2 122.79 127.28 131.79
5 285.10 295.54 305.98
10 407.89 422.83 437.76

R = 8.3145 J/(mol · K), ρ = 2.34 g/cm3, Vm = 12.821 cm3/mol, M = 30 g/mol

SAMPLING, MATERIALS AND METHODS

The analysis involved internal plasters in the basement room where the wall was exposed to excessive moisture due to the lack of waterproofing in the contact area with the ground (Fig. 1). Plaster samples were collected from the analyzed wall. Samples 1 and 2 were collected from two places of the crumbled plaster in the damp zone and damage caused by salt crystallization, below the ground level. Sample 3 was collected in the area of hard plaster, above the ground level and crumbled plaster. All the samples in the form of irregular pieces were used for porosimetric and chemical tests. Additionally, hard plasters were collected for mechanical tests.

Strength test

Not crumbled hard plaster samples about 1.5 cm thick were collected using a drill bit and then using a special head. Yet, the pull-off measurement [29] in the rupture process of plaster from the substrate could not be applied due to the fact that the plaster samples had very little adhesion to the masonry wall.

Nine plaster samples of diameter 50 mm were drilled off. Therefore, the tensile strength of the plaster was measured using a modified pull-off device (Fig. 2). The collected plaster samples were glued to the working rings of that device. The destruction of all 9 samples always took place in the plaster layer, where fracture planes of the sample could be seen.

Figure 2.

Tensile strength measurement of plaster while stretching the sample

A model of plaster resistance to degradation caused by crystallization expansion

The analyzed plasters have a porous structure. It was assumed that a plaster model can be shaped as a sphere which is hollow inside. This hollow cavity corresponds to the volume of pores. As a result, we obtain a sphere loaded (Fig. 3), where “a” and “b” respectively denote the internal and external radius of the sphere, and pa and pb the internal and external pressure. As a result, we are faced with the problem of polar-symmetric deformation of a thick-walled spherical tank, as in [30].

Figure 3.

Polar-symmetric deformation of a thick-walled spherical tank: a) general view of the model, b) load diagram, c) stress distribution (circumferential stress σt = σz, normal stress σr, as in [30])

It was assumed that the sphere is mentally cut out in the vicinity of the pore (the inner sphere in the model) (Fig. 4). Therefore, there is no external pressure, i.e. pb = 0. We will then obtain the following formulas for stresses occurring in the adopted model [30]: σt=paa32r3+b32r3b3a3 {\sigma _t } = {p_a}{{{a^3}\left( {2{r^3} + {b^3}} \right)} \over {2{r^3}\left( {{b^3} - {a^3}} \right)}} σr=paa3r3b3r3b3a3 {\sigma _r} = {p_a}{{{a^3}\left( {{r^3} - {b^3}} \right)} \over {{r^3}\left( {{b^3} - {a^3}} \right)}}

Figure 4.

Schematic of the adopted porous plaster model

The stresses max σt occur for r = a. After simplifying the formula (2), we obtain: maxσt=pa2a3+b32b3a3 {{max}}{\sigma _t } = {p_a}{{2{a^3} + {b^3}} \over {2\left( {{b^3} - {a^3}} \right)}}

The stress σr for the radius r = a has the following value, and thus compression is taking place. σr=a=paa3a3b3a3b3a3<0 {\sigma _{r = a}} = {p_a}{{{a^3}\left( {{a^3} - {b^3}} \right)} \over {{a^3}\left( {{b^3} - {a^3}} \right)}} < 0

The porosity of the adopted model, defined as the quotient of the internal volume of the sphere with the radius “a” and the sphere with radius “b”, can be calculated from the formula: p=a3b343π43π=a3b3 p = {{{a^3}} \over {{b^3}}} \cdot {{{4 \over 3}\pi } \over {{4 \over 3}\pi }} = {{{a^3}} \over {{b^3}}}

The calculations demonstrate that the fact of ignoring the external pressure does not cause major differences in stress values. For example, for the pressure pb = 0.10 MPa, the values of circumferential stresses “σt” are lower by approx. 4% as compared to the case when pb = 0.0 MPa.

Preliminary model calibration:

Using the model equations provided above, the calculations of stresses “σt” for different dimensions of radii “a” and “b” were made, with the internal pressure pa = 1.0 MPa. The calculation results are presented in the tables below. For each combination of the dimensions of the radii, the porosity “P” of the model was calculated. The calculations show that the same values of porosity P correspond to identical values of the circumferential stresses “σt”, regardless of the value of the radii of the analyzed model. In Tables 2 and 3, the corresponding values are marked with the same colours. For porosity P = 0.001 – yellow, for porosity P = 0.008 – grey, for porosity P = 0.027 – blue, and for porosity P = 0.064 – green.

Circumferential stresses “σt” for b=1, 1.25 and 1.5

a P for b=1 σt a P for b=1.25 σt a P for b=1.5 σt
0.1 0.001 0.502 0.1 0.000512 0.501 0.1 0.000296 0.5
0.15 0.003375 0.505 0.15 0.001728 0.503 0.15 0.001 0.502
0.2 0.008 0.512 0.2 0.004096 0.506 0.2 0.002370 0.504
0.25 0.015625 0.524 0.25 0.008 0.512 0.25 0.004629 0.507
0.3 0.027 0.542 0.3 0.013824 0.521 0.3 0.008 0.512
0.35 0.042875 0.567 0.35 0.021952 0.534 0.35 0.012704 0.519
0.4 0.064 0.603 0.4 0.032768 0.551 0.4 0.018963 0.529
0.5 0.125 0.714 0.5 0.064 0.603 0.5 0.037037 0.558
0.6 0.216 0.913 0.6 0.110592 0.687 0.6 0.064 0.603
0.7 0.343 1.283 0.7 0.175616 0.82 0.7 0.10163 0.67
0.8 0.512 2.074 0.8 0.262144 1.033 0.8 0.151704 0.768
0.9 0.729 4.535 0.9 0.373248 1.393 0.9 0.216 0.913

Circumferential stresses “σt” for b=1.75, 2 and 3

a P for b=1.75 σt a P for b=2 σt a P for b=3 σt
0.1 0.000187 0.5 0.1 0.000125 0.5 0.1 0.000037 0.5
0.15 0.000630 0.501 0.15 0.000422 0.501 0.15 0.000125 0.5
0.2 0.001 0.502 0.2 0.001 0.502 0.2 0.000296 0.5
0.25 0.002915 0.504 0.25 0.001953 0.503 0.25 0.000578 0.501
0.3 0.005038 0.508 0.3 0.003375 0.505 0.3 0.001 0.502
0.35 0.008 0.512 0.35 0.005359 0.508 0.35 0.00158 0.5023
0.4 0.011942 0.518 0.4 0.008 0.512 0.4 0.00237 0.504
0.5 0.023324 0.536 0.5 0.015625 0.524 0.5 0.00462 0.507
0.6 0.040303 0.563 0.6 0.027 0.542 0.6 0.008 0.512
0.7 0.064 0.603 0.7 0.042875 0.567 0.7 0.0127 0.519
0.8 0.095534 0.658 0.8 0.064 0.603 0.8 0.019 0.529
0.9 0.136023 0.736 0.9 0.091125 0.65 0.9 0.027 0.542
Physical and chemical testing methods of plaster samples

The supplementary tests of plaster involved checking the following:

temperature and humidity in the basement in an exemplary period from June 5, 2021, to July 7, 2021, just before the collection of samples for testing.

Pore system, using mercury intrusion porosimetry (MIP) technique on the Autopore IV 9500 apparatus within the pore size range of 6–4500 nm. In general, the following penetration data were obtained: intrusion pressure and volume, open porosity, pore diameter and specific surface area as well as tortuosity of pores, apparent and real density. Additionally, pore size distribution is obtained. The calculations were performed assuming the following constants: contact angle mercury/sample 140, mercury surface tension 0.485 Nm−1, mercury density 13.54 g/cm3.

Content of sulfate ions was determined by the gravimetric method according to EN 196–2 [31], in which the determined ions are precipitated with barium chloride in hydrochloric acid from a boiling suspension containing powdered material.

The reaction of individual plaster preparations consisted in making suspensions in the ratio of 1:3 (tested material in powdered form: distilled water). After one minute of mixing, the Elmetron pH-meter for wastewater was used to determine pH.

Salinity test was conducted on powdered samples. Suspensions of the 1:2 mass ratio of powdered plasters and deionized water (3.28 μS/cm) were prepared. Conductivity was tested after mixing in supernatant water, after 1 h. The conductivity tests were carried out using a CC-505 type conductometer and a CD-3 type conductivity cell probe. The measuring range of the sensor was from 0.1 μS/cm to 10 mS/cm. For automatic temperature compensation, the set also included a CT2B-121 temperature sensor.

phase composition analysis (XRD) was conducted using an X’Pert Pro MPD X ray diffractometer, produced by PANalytical (Westborough, USA), was used. The measurements were conducted on powdered samples at room temperature using monochromatic Cu Kα radiation. Qualitative analysis with the support of the ICDD PDF4+ database was performed employing HighScore v. 4.8 software.

RESULTS AND ANALYSIS

In the analyzed basement room temperature values ranged from 16.2°C up to 19.4°C. Relative humidity values ranged from 64% to 84%. In the winter period, the parameters of the internal climate in the basement were not investigated. However, as confirmed in the interview with the property manager, the temperatures in winter were not lower than 10°C.

Results of degradation modelling of plaster structure
Results of modelling analyses

The formation of calcite in the analyzed plaster may be the main cause of the destruction of plaster fragments located below the ground level, i.e. in the zone of moistness. Using the formula (1) of Correns [15], the values of crystallization pressure of calcite (one of the polymorphs of calcium carbonate CaCO3) were estimated, and the results are presented in Table 4.

Crystallization pressure of calcite at different temperatures

s Pcryst [MPa]
273.15 K 283.15 K 293.15 K
1.000 0 0 0
1.001 0.12 0.13 0.13
1.002 0.25 0.25 0.26
1.003 0.37 0.38 0.39
1.004 0.49 0.51 0.53
1.005 0.61 0.63 0.66
1.006 0.73 0.76 0.79
1.007 0.86 0.89 0.92
1.008 0.98 1.01 1.05
1.009 1.1 1.14 1.18
1.01 1.22 1.26 1.31
1.02 2.43 2.52 2.61
1.03 3.63 3.76 3.89
1.04 4.81 4.99 5.16
1.05 5.98 6.2 6.42
1.06 7.15 7.41 7.67
1.07 8.3 8.6 8.91
1.08 9.44 9.78 10.1
1.09 10.6 11 11.3
1.1 11.7 12.1 12.5
1.5 49.7 51.5 53.4
2 85 88.1 91.2
5 197 205 212
10 282 293 303

R = 8.3145 J/(mol· K), ρ = 2.7 g/cm3, Vm = 18.519 cm3/mol, M = 50 g/mol

To analyze the stresses affected by calcite expansion, the issue of polar-symmetric deformation of a thick-walled spherical tank was used (Fig. 3, 4). Assuming that b = 1 and making use of the open porosity of the tested plaster obtained from porosimetric tests, P = 27.68%, the internal radius of the model a= 0.6517 can be calculated. On this base, the estimated values of circumferential stresses in the analyzed model “σt” can be determined (Tab. 5).

Values of circumferential stresses as a function of expansion pressure

Pa [MPa] 1.0 2.0 3.0 4.0 5.0 6.0 7.0 15.0 20.0
σt [MPa] 1.07 2.15 3.22 4.3 5.37 6.44 7.52 16.11 21.4

Assuming that the total open porosity is 27.68% and that for each porosity interval within P0÷P3 obtained on the basis of porosimetry tests (Tab. 9), an appropriate internal radius “a” and external radius “b” (Fig. 4) are adopted, then using the dependences (7, 8) the corresponding radii and plaster models of the porosities P0, P1, P2, P3. can be determined (Tab. 6, 7). ai=Pib33 {a_i} = \root 3 \of {{P_i}\cdot{b^3}} Pi=ai3/b3 {P_i} = a_i^3/{b^3}

Parameters of plaster models (Fig. 4)

Share in pore radii range [%] Total open porosity [%] Corresponding radius “ai” [cm] Modeled porosity [%]
3.15 a0 = 0.206 P0 = 0.8719
23.96 27.68 a1= 0.405 P1 = 6.6321
62.08 a2 = 0.556 P2 =17.1837
10.81 a3 = 0.310 P3 = 2.9922

Values of circumferential stresses as a function as internal radius

σt [MPa] Pa [MPa]
a [cm] 1.0 2.0 3.0 4.0 5.0 6.0 7.0 15.0 20.0
0.206 0.51 1.03 1.54 2.05 2.57 3.08 3.59 7.70 10.30
0.310 0.55 1.09 1.64 2.18 2.73 3.28 3.82 8.19 10.90
0.398 0.60 1.20 1.80 2.40 3.00 3.61 4.21 9.01 12.02
0.398 0.81 1.62 2.43 3.25 4.06 4.87 5.68 12.2 16.23

If, for the values of the internal radii a0÷a3 given (Tab. 6), we will obtain the circumferential stresses, as a function of expansion pressure “Pa” and internal radius “a” (Tab. 7).

Tensile strength of the tested plaster

The properties of plaster have been described, among others, in the monograph [32], and also in the standard [33]. Based on the standard data [33] and using the well-known Weizmann formula (11) [34], we can calculate the tensile strength (Tab. 8) of masonry mortar (fm,t) when the values of compressive strength (fm) and bending tensile strength (fmx) are known. fm,t=fmfmx2fmfmx {f_{m,t}} = {{{f_m} \cdot {f_{mx}}} \over {2 \cdot {f_m} - {f_{mx}}}}

Tensile strength of mortar based on standard data [33]

Compressive strength class of mortar [MPa] fm [MPa] fmx [MPa] fm,t [MPa]
M15 15 3.5 1.98
M10 10 2.5 1.43
M5 5 1.6 0.95
M2.5 2.5 0.8 0.48

The own studies on strength, described earlier in subsection 2.1, allowed to obtain the tensile strength values of the tested sand-lime plaster. The results are presented below (Fig. 5).

Figure 5.

Results of tensile strength of the tested sand-lime plaster

As we can observe, the values of tensile strength of plaster are very diverse and in the range of 0.14–0.78 MPa with an average of 0.39 MPa and a standard deviation of ±0.26 MPa. The low average value corresponds with a weak structure of tested sand-lime plasters. The great value of the standard deviation is due to the scattering of the measured strength value.

Resistance of plaster to degradation

As we know, an important factor having an impact on the durability of cement materials is water. Its excessive content in the structure of cement-based or lime-based material may accelerate the degradation process. Water can also be a factor generating various physicochemical processes, e.g. the expansion of the developed chemical compounds, which crystallize. Crystallization pressures reach very high values and, as a rule, the structure of the material is degraded. Figure 6 shows a diagram of the dependence of circumferential stress “σt” on inner radius “a” for the adopted model.

Figure 6.

Values of circumferential stresses depending on internal radius

Based on previous analyses, Fig. 6 shows the load-bearing area of the analyzed sand-lime plaster. In this graph, the red line marks the value of 0.39 MPa (the average value of the tensile strength of the plaster), and the black line marks the maximum value of the tensile strength of the analyzed plaster. It should be emphasized here that the circumferential stress values were calculated on the basis of the adopted model for the internal pressure Pa=1.0 MPa.

The conducted analyses show (Tab. 7) that the pressures of calcite crystallization can be much higher. The degree of supersaturation “s” is of key importance here. Based on the performed analyses, we can argue that the structure of internal plaster is not able to withstand high crystallization pressures. This is evidenced by the photograph of degraded plasters (Fig. 1).

Study of the pore system

In order to analyze the porosity structure of the plaster, tests were carried out using mercury porosimetry. Sample 2 and sample 3 were chosen from all samples and subjected to testing. Sample 2 was collected from the area of the crumbled plaster, in the damp zone and damage caused by salt crystallization, below the ground level. Sample 3 was collected in the area of hard plaster, above the crumbled plaster. One piece of each sample were prepared for the MIP analysis. To ensure the representativeness of the samples for the porosimetry test, two or three pieces of each sample were prepared so that the MIP operator could choose randomly one small piece of each sample for the MIP analysis.

No micropores were found in the tested plasters. There were only mesopores below 0.05 μm and macropores above diameters of 0.05 μm. Pore size distribution of samples 2 and 3 are similar with more amount of macropores 10–60 μm than of sample 2 (Fig. 7, Tab. 9). Additionally it can be seen that sample 2 had lower open porosity (26%) as compared to sample 3 (27.7%). Sample 2 also had lower permeability as compared for sample 3. The average pore diameter for sample 2 was also lower than of sample 3. As for other parameters, such as tortuosity, apparent density, actual density and total surface area of pores, higher values were recorded in sample 2 as compared to sample 3 (Tab. 9).

Figure 7.

Exemplary results of porosimetric tests of sample 3

Results of porosimetric tests

Tested parameter Unit Sample 2 Sample 3
Total surface area m2/g 1.837 1.440
Volume median pore diameter μm 1.28 1.84
Apparent density g/ml 1.89 1.79
Specific gravity g/ml 2.55 2.48
Open porosity % 26.01 27.68
Permeability mdarcy 57.0 68.3
Tortuosity - 9.7 9.1
Pore size distribution
P3 > 90 μm % 6.21 5.42
60–90 μm % 1.35 1.33
30–60 μm % 1.95 4.25
20–30 μm % 1.30 3.85
P2 10–20 μm % 2.32 7.89
1–10 μm % 43.56 43.95
0.5–1 μm % 16.20 14.04
P1 0.25–0.5 μm % 10.28 7.23
0.1–0.25 μm % 8.45 5.84
0.05–0.1 μm % 5.23 4.00
P0 0.025–0.05 μm % 1.79 1.45
0.01–0.025 μm % 1.33 0.75
0.006–0.01 μm % 0.03 0.00
Chemical tests

To recognize the changes taking place in the damp plaster thoroughly, chemical tests were also carried out on samples 1, 2 and 3. It should be noted here that the results for samples 1 and 2 were very similar. It was found that samples 1 and 2 contained from 1 to 3% of sulfate ions and sample 3 contained more than 7% in relation to the mass of the part of plaster which was soluble in hydrochloric acid (binder, water and corrosion products), with practically the same content of aggregate equal to about 20% by weight in both samples. The conductivity of the suspensions made of samples 1, 2 and 3 was 6.1, 5.7 and 8.9 mS/cm, respectively. The reaction of samples 1 and 2 was slightly lower than that of sample 3, with the value of 8.5 and 8.9, respectively. The mineralogical analysis with the X-ray diffraction method of samples 1 and 2 showed the presence of the main phases: calcite and quartz, and in smaller amounts: muscovite, albite and microcline. The content of gypsum was questionable. Based on the above studies, it was determined that it was sand-lime plaster since no phases coming from the damaged cement paste, in particular ettringite, were detected.

DISCUSSION AND SUMMARY

The article presents only the selected, characteristic damages to internal plasters observed in the analyzed buildings in the years 1990÷2020 [4]. The main factors that could have caused the observed damage to the examined plasters include lack of proper drainage of facilities, lack of proper waterproofing, lack of proper care for the technical condition of buildings, as well as failures and leaks in water installations. In order to carry out a thorough analysis, the article presents the structural essence of internal plasters. Also, the phenomena occurring in moist materials, especially porous ones, were analyzed.

The strength tests of the examined plaster demonstrated that its state is varied. The obtained tensile strength values of the examined plaster are within the range of 0.14 MPa÷0.78 MPa. Analysis of the results of porosimetry tests showed that there were noticeable changes in the structure of the plasters as well as in their properties. It involves differences between the undamaged plaster (above ground level – sample 3) and the degraded plaster (below ground level – sample 2).

Based on the analysis of the pH reaction, it can be assumed that, apart from the penetration of ground-water, whereof pH ~ 8, the plaster was strongly carbonated due to the impact of CO2 (carbon dioxide from the internal atmosphere of the room) in line with the reaction: Ca(OH)2+CO2CaCO3+H2O. {\rm{Ca}}{({\rm{OH}})_2} + {\rm{C}}{{\rm{O}}_2} \to {\rm{CaC}}{{\rm{O}}_3} + {{\rm{H}}_2}{\rm{O}}.

Thus, the plaster was damaged as a result of carbonation and then crystallization of calcium carbonate. In line with the mechanism of transformation, first, the calcium washed out from calcium hydroxide reacts with CO2, which lowers the reaction and increases the humidity of the plaster. Ca(OH)2Ca2++2OH {\rm{Ca}}{({\rm{OH}})_2} \to {\rm{C}}{{\rm{a}}^{2 + }} + 2{\rm{O}}{{\rm{H}}^ - } Ca2++2OH+CO2CaCO3+H2O. {\rm{C}}{{\rm{a}}^{2 + }} + 2{\rm{O}}{{\rm{H}}^ - } + {\rm{C}}{{\rm{O}}_2} \to {\rm{CaC}}{{\rm{O}}_3} + {{\rm{H}}_2}{\rm{O}}.

Calcite is a non-binding phase – it disintegrates the binder and perhaps its crystallization (expansion) causes high crystallization pressures, which may eventually cause the disintegration of the plaster structure. The tests carried out with the use of the X-ray diffraction method confirmed a share of sand (SiO2) and calcite (CaCO3). The presence of small amounts of gypsum was undefined, yet its presence cannot be ruled out as sulphates in the plaster were detected. Therefore, it can be assumed that the elongated, sporadically crystallizing forms of sulphate phases contributed to mechanical damage.

The paper indicates that moisture in a building object can be affected by various sources. From the viewpoint of the durability of internal plasters, it seems that groundwater is one of the main sources of degradative processes, which, in the absence of appropriate waterproofing protections, has great freedom in penetrating wall structures, and internal plasters. With respect to the studies described here, we were most likely dealing with lime plaster. In the drying mortar, the salts became oversaturated, and then they crystallized and exerted stress on the pore walls. Drying was cyclical – seasonal, daily, so the same, easily soluble salt dissolved and crystallized several times, and hence it exerted stress on the microstructure of the plaster several times. In the examined plaster, for the purposes of this work, gypsum could also have been a destructive salt, because sulfate ions were detected in the analytical tests, although gypsum was not detected in the crystalline phase – in line with the XRD method. Thus, sulfate ions from groundwater were consuming calcium ions from the lime binder of the plaster structure, which led to its damage. And due to the fact that ground-water lowered the pH of the plaster, portlandite (plaster binding phase) was no longer able to regenerate, because it is unstable below a certain pH value (approx. 12.5). In the last stage of plaster destruction, the plaster cracks and its layers fall off [35].

Plasters as building materials should have features ensuring that the objects to which they are applied meet adequate durability, compressive strength and tensile strength. Proper protection of building structures against the undesirable effects of water is an essential condition for their proper operation.

CONCLUSIONS

Based on the carried out results of the tests, the following conclusions can be formulated:

Chemical tests confirmed that the reason for the degradation of tested sand-lime internal plasters was expansion caused by the crystallization of certain chemical compounds in the pores.

Owing to the proposed application of the problem of polar-symmetric deformation of a thick-walled spherical tank, circumferential stresses in the spherical model could be estimated. The said model was pre-calibrated, which allowed to observe important properties for the analysis of the stresses. The calculations demonstrated that the same values of porosity correspond to identical values of circumferential stress, regardless of the values of the radii of the analyzed model. This property may prove that the adopted model is useful for the analysis involving the problems of internal plaster resistance to expansion caused by crystallization pressure.

Based on porosimetry tests it was found that there were noticeable changes in the structure of plasters as well as in their properties. This applies to the comparison of the test results for undamaged and degraded plaster. The conducted chemical tests have demonstrated strong carbonization of the plaster. The presence of calcite CaCO3 proves its great impact on the generation of high crystallization pressures, which led to the degradation of the analyzed internal plaster with low tensile strength values. The said values do not allow to transfer of high crystallization pressures through the structure of internal plaster.

eISSN:
2720-6947
Langue:
Anglais
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4 fois par an
Sujets de la revue:
Architecture and Design, Architecture, Architects, Buildings