Coupling agent and glass fibers in polyester mortar.INTRODUCTION Polymer mortar is a mixture of aggregates and a polymerizing monomer monomer (mŏn`əmər): see polymer. monomer Molecule of any of a class of mostly organic compounds that can react with other molecules of the same or other compounds to form very large molecules (polymers). . The high-strength, rapid-setting, and corrosive corrosive /cor·ro·sive/ (kor-o´siv) producing gradual destruction, as of a metal by electrochemical reaction or of the tissues by the action of a strong acid or alkali; an agent that so acts. resistance makes the mortar a potential material for use in structural repairs and in new constructions (1). Polymer mortar is also used in overlays (bridge decks, floors), precast pre·cast adj. Relating to or being a structural member, especially of concrete, that has been cast into form before being transported to its site of installation. products, machine tools, grouting grout n. 1. a. A thin mortar used to fill cracks and crevices in masonry. b. A thin plaster for finishing walls and ceilings. 2. Chiefly British Sediment; lees. Often used in the plural. , and waste encapsulation (1) In object technology, the creation of self-contained modules that contain both the data and the processing. See object-oriented programming. (2) The transmission of one network protocol within another. (2, 3). Polyester is one of the most common polymer used for repairs and in constructions. The wide spectrum of applications of polyester mortar requires further improvement in its mechanical properties. Also, polyester mortar exhibits brittle failure under normal working conditions (4, 5). To improve the post-peak behavior and toughness, glass fibers can be added to the polyester mortar. There is increasing interest in the quantification of the effects of glass and steel fiber addition on the behavior of polymer mortar (4, 6, 7). Brockenbrough and Patterson (6) used both glass and steel fibers in an acrylic resin-based mortar and observed that while steel fibers increased the compressive com·pres·sive adj. Serving to or able to compress. com·pres sive·ly adv. , flexural flexuralpertaining to the flexure of a joint. flexural deformity fixation of joints in flexion. In the newborn called contracted calves or foals. and splitting tensile strength tensile strength Ratio of the maximum load a material can support without fracture when being stretched to the original area of a cross section of the material. When stresses less than the tensile strength are removed, a material completely or partially returns to its . But it was observed that the glass fibers decreased the compressive strength Compressive strength is the capacity of a material to withstand axially directed pushing forces. When the limit of compressive strength is reached, materials are crushed. Concrete can be made to have high compressive strength, e.g. , but increased both flexural and splitting tensile strength. Ohama and Nishimura (7) noted an increase in compressive, flexural, and impact strength of polyester polymer mortar with steel fibers. Vipulanandan, et al. (4), have concluded that the addition of glass fibers increased the strength (made with polyester resin Polyester Resin - Unsaturated Polyester Resin. The term generally used for unsaturated (means containing chemical double bonds) resins formed by the reaction of dibasic organic acids and polyhydric alcohols, basic component of SMC/BMC. and Ottawa sand with uniform size aggregates) in compression, flexure flexure /flex·ure/ (flek´sher) a bend or fold; a curvation. caudal flexure the bend at the aboral end of the embryo. cephalic flexure the curve in the midbrain of the embryo. , and splitting tension. The interfacial bond in the polyester mortar may be enhanced by using coupling agents (or adhesion promoters). Many types of coupling agents are available and the choice is dictated by the compatibility between the aggregate and the type of polymer matrix used. The organofunctional silanes are noted for their abilit to bond organic polymer systems to inorganic substrates. The silane silane or silicon hydride Any of a series of inorganic compounds of silicon and hydrogen with covalent bonds and the general chemical formula SinH(2n + 2). coupling agent ([gamma]-methacryloxypropyltrimethoxysilane, [gamma]-MPS) was used for enhancing the polyester mortar strength. Vipulanandan and Paul (8) reported a 14% increase in compressive strength from 72.0 to 82.1 MPa (10,500 to 11,900 psi) and 35% in splitting tension for polyester mortar with uniform Ottawa 20-3 sand with an average particle diameter of 0.6 mm. Using the [gamma]-MPS in the polyester mortar systems Vipulanandan and Dharmarajan (9) reported an increase of 53% in flexural strength Flexural strength is also known as modulus of rupture, bend strength, or fracture strength. Flexural strength is measured in terms of stress, and thus is expressed in pascals (Pa) in the SI system. for unreinforced mortar and 38% increase for reinforced mortar with glass fibers, but the study was limited to a uniform san mainly composed of quartz. In this study, the effect of polymer content, type of aggregates, glass fibers, and silane coupling agent on the compressive and flexural strength of polymer mortar are investigated at room temperature. A crushed sand (mixture of sandstone and limestone) and blasting sand (mainly quartz) were used as aggregates. The polymer content was varied between 10% and 18% and glass fibers were added up to 6% by weight of the unreinforced polymer mortar. The failure patterns on the specimen surface after compression tests are mapped and the typ of failure (shear, splitting or bulging) are quantified using a simple relationship. Also a stress-strain relationship is proposed to represent the complete stress-strain curves. EXPERIMENTAL PROGRAM Four systems of polyester mortar were prepared in this study: unreinforced polyester mortar (PM) containing polyester and either blasting sand or crushed sand, glass fiber reinforced polyester mortar (GFRPM), silane treated polyester mortar (PM-S), and silane treated reinforced polyester mortar (GFRPM-S). The crushed sand (mixture of sandstone and limestone) particle size Particle size, also called grain size, refers to the diameter of individual grains of sediment, or the lithified particles in clastic rocks. The term may also be applied to other granular materials. varied from 0.1 to 5 mm (0.004 to 0.2 inch) with a coefficient of uniformity (Cu) of 3.7. The blasting sand (mainly quartz) with sub-angular particles, had a coefficient of uniformity of 5.8, and was obtained by mixing various sizes of blasting sand which are commercially available. The sand particles had a specific gravity specific gravity, ratio of the weight of a given volume of a substance to the weight of an equal volume of some reference substance, or, equivalently, the ratio of the masses of equal volumes of the two substances. of 2.65. The average diameter, [d.sub.50] (50% of sand are less than this size), o this blasting sand mix was 0.60 mm (0.024 inch). Chopped glass fibers were 0.01 mm in diameter and 13 mm (0.5 inch) long. The glass fiber had up to about 800 bonded glass strands. The polyester resin had a viscosity between 40 and 50 poise at room temperature and a specific gravity of 1.07. In the case of PM-S o GFPM-S, the sand and glass fibers were treated by wetting them with 2% aqueous aqueous /aque·ous/ (a´kwe-us) 1. watery; prepared with water. 2. see under humor. a·que·ous adj. solution of the silane coupling agent. The treated sand and fibers were allowed to dry at 100 [degrees] C for one day prior to mixing with polyester. The initiator used with the polyester was methyl ethyl ketone peroxide Methyl ethyl ketone peroxide (MEKP) is an organic peroxide, a high explosive similar to acetone peroxide, and can be dangerous to synthesize. Unlike acetone peroxide, however, MEKP is a colorless, oily liquid at room temperature and pressure, while acetone peroxide is a white solid. and promoter was cobalt naphthenate. In preparing PM specimens, cobalt naphtenate was first added to the polyester resin and the solution was mixed for at least 2 min before adding methyl ethyl ketone peroxide. After further mixing, the dry sand mixture or sand-fiber mixture was slowly added to the polyester and mixed long enough to obtain a uniform mixture. The mixture was then poured slowly into the cylindrical cyl·in·dri·cal adj. Of, relating to, or having the shape of a cylinder, especially of a circular cylinder. teflon molds to prepare specimens 38 mm (1.5 inch) in diameter and 75 mm (3 inch) long. Beam specimens (50 x 50 x 230 mm or 2 x 2 x 9 inches) were also cast for flexure tests. The specimens were allowed to cure for a day at room temperature and then at 75 [degrees] C for another day. From earlier studies on similar aggregate-polyester mix (8), it was demonstrated that this curing condition gave the best results. Before testing, the end of the cylindrical specimens were trimmed using a diamond saw to ensure smooth and parallel surfaces. For all monotonic monotonic - In domain theory, a function f : D -> C is monotonic (or monotone) if for all x,y in D, x <= y => f(x) <= f(y). ("<=" is written in LaTeX as \sqsubseteq). loading, displacement-controlled, compression and flexure tests, a closed-loop servo An electromechanical device that uses feedback to provide precise starts and stops for such functions as the motors on a tape drive or the moving of an access arm on a disk. hydraulic testing machine testing machine Machine used in materials science to determine the properties of a material. Machines have been devised to measure tensile strength, strength in compression, shear, and bending (see strength of materials), ductility, hardness, impact strength ( with an axial axial /ax·i·al/ (ak´se-al) of or pertaining to the axis of a structure or part. ax·i·al adj. 1. Relating to or characterized by an axis; axile. 2. capacity of 22,680 kg (50 kips) was used. Load-axial displacement responses were recorded using X-Y recorders and a computer. The deflection deflection /de·flec·tion/ (de-flek´shun) deviation or movement from a straight line or given course, such as from the baseline in electrocardiography. de·flec·tion n. 1. of the beams was measured using a LVDT LVDT Linear Variable Differential Transformer LVDT Linear Variable Displacement Transducer LVDT Linear Variable Differential Transducer LVDT Linear Voltage Differential Transformer LVDT Low Voltage Differential Transceiver LVDT Low Voltage Differential Transducer (linear variable differential transducer transducer, device that accepts an input of energy in one form and produces an output of energy in some other form, with a known, fixed relationship between the input and output. ) with an accuracy of 2.5 x [10.sup.-3] mm ([10.sup.-4] inch). The axial strain axial strain See under strain. i the cylinders during the compression test was measured using two extensometers, of 25 mm (1 inch) gage length, with strain accuracy of 3.5 x [10.sup.-5]. Several systems have been considered in this study where the polyester content varied from 10% to 18% and the fiber content varied from 0% to 6% (by weight of PM). Table 1. Polymer Mortar Composition. 1)Polymer Matrix Content (by weight) Resin: polyester (Dion Iso-6315) 10%-18% (PM) Promoter: cobalt naphtenate 0.3% (Resin) Initiator: methyl ethyl ketone peroxide 1.5% (Resin) 2)Aggregates Blasting sand (mainly quartz) 82%-90% (PM) Crushed sand (sandstones and limestone) 82%-90% (PM) 3)Fibers Chopped glass strands 0%-6% (PM) (13 mm long and 0.013 mm in diameter) 4)Silane Coupling Agent [gamma]-methacryloxypropyltrimethoxysilane 2% (Solution) Notations Polymer mortar PM = 1) + 2) Glass fiber reinforced polymer mortar GFRPM = 1) + 2) + 3) Silane treated polymer mortar PM-S = 1) + 2) + 4) Silane treated reinforced polymer mortar GFRPM-S = 1) + 2) + 3) + 4) RESULTS AND DISCUSSION The 14% mortar system with blasting sand was the best system (based on the compressive strength) and about 100 specimens were tested to quantify the statistical variation in the results. The effects of glass fiber, silane treatment, size, and type of aggregates on some properties of PM are discussed below. The type of failure and the stress-strain predictions are also discussed Statistical Evaluation Compressive Strength The distribution of the compressive strength of 75 specimens (14% PM) is represented graphically by a histogram histogram or bar graph Graph using vertical or horizontal bars whose lengths indicate quantities. Along with the pie chart, the histogram is the most common format for representing statistical data. shown in Fig. 2a. The data are also depicted on a normal probability plot. Linear relationship with coefficient of correlation coefficient of correlation n. pl. coefficients of correlation See correlation coefficient. Noun 1. coefficient of correlation of 0.98 indicates that a normal distribution adequately represents of the test data. The mean is estimated as the compressive strength at the 50% level on the probability scale, which is 63.2 MPa (9170 psi). In Fig. 2b one standard deviation In statistics, the average amount a number varies from the average number in a series of numbers. (statistics) standard deviation - (SD) A measure of the range of values in a set of numbers. in strength is defined by the increment To add a number to another number. Incrementing a counter means adding 1 to its current value. between the 50% and the 84% probability levels. The standard deviation is estimated to be 2.6 MPa (377 psi) and the coefficient of variation Coefficient of Variation A measure of investment risk that defines risk as the standard deviation per unit of expected return. is 4%. With 95% confidence it may be predicted that the mean compressive strength is in the range of 62.6 MPa (9080 psi) to 63.8 MPa (9260 psi). Flexural Strength The distribution of the flexural (four-point bending tests) strength of 24 specimens is represented graphically by a histogram in Fig. 3a. The data are also plotted on a normal probability scale in Fig. 3b and may adequately be represented by a normal distribution. The mean flexural strength was 16.45 MPa (2390 psi) and the standard deviation was 0.84 MPa (120 psi). The coefficient o variation (C.O.V.) of flexural strength is 5%, compared to 4% for compressive strength. Effect of Glass Fibers Compressive Properties The use of low-weight fraction of fibers was essential to ensure a workable mixture and to achieve a homogeneous distribution of fiber within the PM composites. Figure 4 shows that the compressive properties of GFRPM are very much dependent on the fiber and polyester contents. Test results suggest that there is an optimum fiber content (based on maximum strength) for each polyeste content. It can be observed from Fig. 4 that for the PM the optimum polyester content is 14%. This optimum also had the lowest porosity porosity /po·ros·i·ty/ (por-os´it-e) the condition of being porous; a pore. po·ros·i·ty n. 1. The state or property of being porous. 2. as observed in Fig. 5 The failure mode for most of the GFRPM under uniaxial uniaxial /uni·ax·i·al/ (u?ne-ak´se-al) 1. having only one axis. 2. developing in an axial direction only. uniaxial 1. having only one axis. 2. developed in an axial direction only. compression was shear. However, local failures were observed when the amount of fibers in the PM was 6 for the 10% PM. For the fiber and polyester contents investigated, the compressive strength varied from 33 MPa (4800 psi) for the 10% PM with 6% fiber content to 84 MPa (12,200 psi) for the 18% PM with 4% fiber content. Glass fibers were added to improve the toughness or energy absorption capacity The term absorption capacity (as a part of EU Cohesion Policy) stands for the degree to which a country is able to effectively and efficiently spend the financial resources received from the European Funds. of the PM. ASTM ASTM abbr. American Society for Testing and Materials C1018 (10) procedure was followed to determine the toughness indices [I.sub.5] and [I.sub.10] for compression. [I.sub.5] represents the rati between the area under the curve up to three times the first crack to the area up to the first crack deflection. In the case of [I.sub.10], the endpoint is 5. instead of 3 times the first crack. For elastic (up to first crack) plastic material [I.sub.5] is equal to 5 and [I.sub.10] is equal to 10. Variation of these indices with fiber content is shown in Fig. 6. As can be seen, the toughness was substantially increased with the addition of fibers. [I.sub.5] wa greater than 5 and [I.sub.10] varied between 7 and 13. The ratio [I.sub.10]/[I.sub.5] varied from 1 to 2.2, and for an elastic-perfectly plastic material [I.sub.10]/[I.sub.5] is equal to 2. Figure 7 shows that the fracture stresses for the 14% and 18% PM systems remains almost unchanged. However, the 10% PM system shows a significant decrease because of the relative high fiber content, which also decreased the strength of this system as was shown by Fig. 4. Flexural Properties Figures 8 through 12 are the results of specimens tested in four-point bending. As can be seen from Fig. 8a, the flexural strength increases with the increase in the amount of fibers. Addition of 6% fiber into the 18% polyester PM resulte in flexural strength of 28 MPa (4060 psi) and flexural modulus of 10.5 GPa (152 ksi). This is more than 60% increase in strength over the PM. As compared with the PM, the strain at failure improved by about 300%. Figure 8c shows that fibers do not have any effect initially. This is confined con·fine v. con·fined, con·fin·ing, con·fines v.tr. 1. To keep within bounds; restrict: Please confine your remarks to the issues at hand. See Synonyms at limit. by the insensitivity of the initial modulus on the fiber content. The surface failure patterns were mapped as shown in Fig. 9. Inspection of the failure surface showed that failur occurred mostly by pullout pull·out n. 1. A withdrawal, especially of troops. 2. Change from a dive to level flight. Used of an aircraft. 3. An object designed to be pulled out. Noun 1. of the fibers. Increasing the amount of glass fibers increased the pullout failure and hence increased nonlinearity of the mapped curve representing failure cracks. The flexural stress-strain curves are shown in Fig. 10. It can be observed that the toughness increases with the increase o glass fibers. Nonlinearity is observed for the ascending part of the curves representing the GFRPM. The toughness indices in flexure for the 18% PM system are shown in Fig. 11 and the first crack stresses are shown in Fig. 12. The trends in either compression or flexure is similar for the 18% PM system. Addition of fibers did not change the first crack stresses. Effect of Silane Coupling Agent The results shown in Figs. 13 to 15 are averages of two to four tests. As seen in Fig. 13, there is an overall increase in the flexural (three-point bending) strength, due to the silane treatment of the blasting sand. The 10% PM system shows the highest percentage increase in flexural strength (62%). As shown in Fig. 13 the addition of silane to 10% PM-S showed higher flexural strength (25. MPa (3720 psi)) as compared to the untreated 14% or 18% PM systems (20.8 MPa (3020 psi)). Use of less polyester in the 10% PM-S will result in reduced cost-to-strength ratio. The role of silane was not only to strengthen the polyester adjacent to the filler (sand) by forming interpenetrating networks that promote adhesion, but also to increase the consistency of the mix by actin therefore as a wetting agent wet·ting agent n. A substance that reduces the surface tension of a liquid, causing the liquid to spread across or penetrate more easily the surface of a solid. Noun 1. to uniformly spread the polyester during mixing. The fiber pullout was the major failure mode for the untreated beam PM specimens. In contrast, in coupling agent containing systems (PM-S), cohesive resin failure was a more predominant feature. The effect of silane on the flexural (three-point bending) strength of glass fiber reinforced PM (GFRPM-S) is shown in Fig. 14. The following were observed: 1) All PM systems showed an increase in flexural strength when the blasting san and glass fibers were treated with the silane coupling agent. 2) In general, silane treatment resulted in higher relative flexural strength for the 10% PM system. 3) The relative increase in flexural strength varied between about 2% to 70% depending on the polyester and fiber contents. The lowest increase was for the strongest system of 41 MPa (5930 psi) and the highest for the weakest system of 12.6 MPa (1830 psi). Silane coupling agent had a greater effect in compression than in flexure. Figure 15 showed an increase of 66% in compressive strength for the 14% PM system as compared to the 28% increase in flexure. The importance of silane is evident when comparing the treated PM with the compressive strength of the pure polyester. Using only 14% polyester with 86% treated aggregates, it was possibl to achieve a compressive strength almost equal to the pure polyester polymer (110 MPa or 16,000 psi). Compressive strength of 103 MPa (15,000 psi) was recorded for the 14% PM-S system, which also had the lowest porosity (2%). The standard deviation of compressive strength was 2.7 MPa (400 psi). Effect of Aggregates The flexural (three-point bending) strength and modulus were increased by using the crushed sand (a mixture of sandstones and limestone), and the increase was dependent on the polyester content. Compared to the blasting sand systems a maximum strength increase of 50% was noted. An increase of 266% in the modulus for the 18% PM was observed and the modulus was 31 GPa (4500 ksi). Changing the aggregate system to crushed sand had a higher increase in flexural strength of the 18% PM than silane treatment of the blasting sand. Figure 17 shows the effect of aggregate type on the compressive and flexural strength. An increase of 20% is observed for compressive strength compared to 50% for flexural strength. Failure Modes in Compression Changing the fiber and polymer contents resulted in shear, splitting, or a combination of failure making it difficult to visually identify the type of failure. A simple method is used to investigate the failure patterns on the surface of the cylindrical specimens. It consists of mapping the failure patter pat·ter 1 v. pat·tered, pat·ter·ing, pat·ters v.intr. 1. To make a quick succession of light soft tapping sounds: Rain pattered steadily against the glass. on the specimen surface as shown in Fig. 18. The abscissa abscissa: see Cartesian coordinates. (mathematics) abscissa - The horizontal or x coordinate on an (x, y) graph; the input of a function against which the output is plotted. The vertical or y coordinate is the "ordinate". See Cartesian coordinates. x is the length of th arc ox and the ordinate ordinate: see Cartesian coordinates. (mathematics) ordinate - The y-coordinate on an (x,y) graph; the output of a function plotted against its input. x is the "abscissa". See Cartesian coordinates. y is the corresponding height to the failure surface (xy). The origin is chosen to be on the bottom of the specimen close to the lowest point (of ordinate [y.sub.o]) of the curve. After testing the specimen, the failure pattern was traced on a plane. The pattern is represented by y - [y.sub.o] = d tan [Alpha][sin.sup.2](x/d)] (1a) where d the diameter of the specimen, [Alpha] is the angle of the failure plane to the horizontal. The above equation may be written in dimensionless form as y - [y.sub.o]/h = tan [Alpha]/h/d[sin.sup.2][Pi](x/[Pi]d]) (1b) where h is the height of the specimen. The angle [Alpha] may be obtained by using the least square method. Figure 19a gives a qualitative description of th three different types of failure for all the specimens tested. In Fig. 19b, the angle of failure [Alpha] was plotted vs. the compressive strength. The estimation of this angle leads us to quantitatively define these failures: a cone failure if the angle [Alpha] is between 0 [degrees] and less than 45 [degrees], a shear failure if [Alpha] is between 45 [degrees] and 70 [degrees] (selected based on experimental observations), and a split failure if [Alpha] is between 70 [degrees] and 90 [degrees]. From the shear failure data shown in Fig. 19b, the average material friction angle and cohesion may be obtained. Stress-Strain Relationships The complete stress-strain curve for PM is essential to better understand the material's behavior. The post-peak behavior becomes important to characterize when fibers are added to the PM. Three categories of empirical relationships In science, an empirical relationship is one based solely on observation rather than theory. An empirical relationship requires only confirmatory data irrespective of theoretical basis. have been used to fit the experimental stress-strain curves. The first category consists of two separate relations, one for the ascending part and the other fo the descending part. For example the following equations were used to describe the tensile tensile, adj having a degree of elasticity; having the ability to be extended or stretched. stress-strain curve of cement concrete (11): Y = x/q + (6q -5/4q) [X.sup.2] + (1 - 2q/4q) [X.sup.6] (ascending) (2a) Y = X/[Beta][(X - 1).sup.2] + X (descending) (2b) Y, X and q are given by the following: Y = [Sigma]/[[Sigma].sub.f] (2c) X = [Epsilon 1. (language) EPSILON - A macro language with high level features including strings and lists, developed by A.P. Ershov at Novosibirsk in 1967. EPSILON was used to implement ALGOL 68 on the M-220. ]/[[Epsilon].sub.f] (2d) q = [E.sub.f]/[E.sub.o] (2e) where [Sigma] is the stress and [[Sigma].sub.f] the strength, [Epsilon] is the strain and [[Epsilon].sub.f] the failure strain. The parameter q is the ratio o secant secant, in mathematics. 1 In geometry, a secant is a straight line cutting a curve or surface. If it intersects the curve in two different points, as in the secant of a circle, the segment of the secant between the points is called a chord. modulus at peak stress ([E.sub.f]) to initial modulus ([E.sub.o]) and reflects the nonlinear A system in which the output is not a uniform relationship to the input. nonlinear - (Scientific computation) A property of a system whose output is not proportional to its input. pre-peak behavior of the stress-strain relationship. The constant [Beta] is determined using the experimental data. The second category consists of one equation but with two sets of constants for the ascending and the descending curves. For example, Fanella and Naaman (12) used the following relationship: Y = X + [m.sub.1][X.sup.2]/[q.sub.1] + (1 - 2[q.sub.1]) X + ([q.sub.1] + [m.sub.1]) [X.sup.2] (ascending) (3a) Y = X + [m.sub.2][X.sup.2]/[q.sub.2] + (1 - 2[q.sub.2]) X + ([q.sub.2] + [m.sub.2]) [X.sup.2] (descending) (3b) where Y and X are as defined by Eq 2 and [q.sub.1], [m.sub.1], [q.sub.2], and [m.sub.2] are constants. For the ascending part of the curve [q.sub.1] = q, as defined by Eq 2e. The third category is represented by one equation with the constants for the complete stress-strain curve. b An example of such equation may be as follows (13): Y = X/q + (1 - q) [X.sup.1/(1 - q)] (4) where q as defined by Eq 2e. The above equation has one parameter q. A two-parameter relationship was proposed by Vipulanandan and Paul (5). This relationship may be written as Y= X/q + (1 - q - p) X + p [X.sup.(q + p)/p] (5) where Y and X are as defined by Eq 4 and p and q (p, q vary from 0 to 1) are th material parameters to be determined from experimental data. The parameter q is defined by Eq 2e and controls the pre-peak curve. The parameter p controls the post-peak curve and is determined by the least square fit of the predicted to the experimental data points, The steeper the descending stress-strain curve, the smaller the p value (p = 0 for brittle material). Figure 20 shows a comparison of the above relationships to the experimental test data. The experimental test data constants of Eqs 3, 4, and 5 are shown in Table 2. As ca be seen from Fig. 20, the two-parameter stress-strain relationship gave the bes fit to the experimental stress-strain data.
Table 2. Parameters for the Stress-Strain Relationships for the 18% PM
Reinforced With 6% Fiber.
Equation Parameters Values
Eq 2 q 0.52
[Beta] 1.40
Eq 3 [q.sub.1] 0.52
[m.sub.1] 0.18
[q.sub.2] 2.22
[m.sub.2] 0.24
Eq 4 q 0.52
Eq 5 q 0.52
p 0.23
In order to quantify the toughness, the integration of Eqs 2a, 2b, 3a, 3b, 4, and 5 is evaluated as [Mathematical Expression A group of characters or symbols representing a quantity or an operation. See arithmetic expression. Omitted] (6) where T([Epsilon]) is the toughness at the end point [Epsilon]. Figure 21 shows the toughness-strain curves obtained from Eq 6. The comparison with the experimental data shows a good agreement when using the two-parameter relationship (Eq 5) to evaluate Eq 6. CONCLUSION Increasing uses of polyester mortar (PM) in varying applications dictated the need for further improvement of its properties in a systematic way. This study dealt with the effect of glass fibers (up to 6%), silane coupling agents, and type of aggregates on the performance of PM. Within the range of variables investigated, the following can be concluded: 1) Addition of 6% of fibers to the 18% PM system improved the flexural strength by 60%, the failure strain by 300% (without change in the initial modulus). The compressive strength increased by 30%. The toughness index ratio ([I.sub.10]/[I.sub.5]) in both flexure and compression increased to 2.2. 2) Silane coupling agent improved the compressive and flexural strengths. For the best system (14% polyester), an increase of 35% in flexural strength and 66 in compressive strength was recorded. A compressive strength of 103 MPa (15,000 psi) was obtained for the treated 14% PM system. 3) Aggregates have varying effect on the strength and modulus. When the blastin sand (mainly quartz) was replaced by the crushed sand (sandstone and limestone) in the PM, an increase of 266% in the flexural modulus of the 18% PM system was observed. Also, the compressive strength increased by 20% and the flexural strength by 50%. 4) A simple relationship can be used to investigate the failure patterns on the surface of the cylindrical specimens. The two parameter stress-strain relationship gave the best fit to the experimental stress-strain data. ACKNOWLEDGMENT acknowledgment, in law, formal declaration or admission by a person who executed an instrument (e.g., a will or a deed) that the instrument is his. The acknowledgment is made before a court, a notary public, or any other authorized person. This study was partly supported by a grant (No. 0036521262ARP) from the Texas Higher Education Coordinating Board The Texas Higher Education Coordinating Board is an agency of the Texas state government that oversees all public post-secondary education in Texas. From 1998 to 2003, it developed a new higher-education plan for the state, called "Closing the Gaps by 2015". to the University of Houston under the Texa Advanced Research Program (ARP). REFERENCES 1. ACI ACI American Concrete Institute ACI Arch Coal Inc ACI Airports Council International (formerly Airport Associations Coordinating Council) ACI Automobile Club d'Italia ACI American Competitiveness Initiative Committee 548, ACI Journal, 83, 798 (1986). 2. International Congress on Polymers in Concrete, First American First American may refer to:
3. C. Vipulanandan and S. Krishnan, International Congress on Polymer in Concrete, Special Applications and New Developments, ACI, San Francisco (1991). 4. C. Vipulanandan, N. Dharmaraian and E. Ching For the Chinese surname Ching 程, see . For the Chinese dynasty, see . The ching (Thai: ฉิ่ง; sometimes romanized as chhing) are small bowl-shaped finger cymbals of thick and heavy bronze, with a broad rim commonly used in Cambodia and , Materials and Structures, 21, 268 (1988). 5. C. Vipulanandan and E. Paul, ACI Materials Journal 87, 241 (1990). 6. T. W. Brockenbrough and D. N. Patterson, ACI Journal, 79, 322 (1982). 7. Y. Ohama and T. Nishimura, 22nd Congress on Materials Research, 364 (1982). 8. C. Vipulanandan and E. Paul, UHCE 88-13, 8, University of Houston, Houston (1988). 9. C. Vipulanandan and N. Dharmarajan, ACI SP104-5, 89 (1988). 10. ASTM C 1018, ASTM Standards for Concrete and Mineral Aggregates, 4, 637 (1985). 11. G. Zen-hai and Z. Xiu-qin, ACI Materials Journal, 84, 278 (1987), 12. D. A. Fanella and A. E. Naaman, Journal of ACI, 82, 475 (1985). 13. D. J. Carreira, and K. H. Chu, Journal of ACI, 82, 797 (1985). |
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