Natural fiber reinforced mortars to induce a specific mechanical amortization behavior in rupture as basis of seismic-resistant architecture

Revision as of 15:05, 7 May 2022

E. Amami, C. Besombes*, Y. Massi, K. Aït-Mokhtar, R. Belarbi, K. Allaf

^aUniversity of La Rochelle-Faculty of Science and Technology,
Laboratory of Engineering Science for Environment (LaSIE UMR 7356 CNRS),
Avenue Michel Crépeau, 17042 La Rochelle, France.

Morteros reforzados con fibra natural para inducir un comportamiento específico de amortización mecánica en ruptura como base de la arquitectura sísmica-resistente

Historia del artículo: Recibido 20 de Junio de 2019 En la versión revisada 25 de Junio de 2019 Aceptado 5 de Julio de 2019 Accesible online 15 de Abril de 2021	El objetivo principal del presente trabajo de investigación fue definir y estudiar un proceso de fabricación emergente para producir fibras naturales. Otro objetivo fue también insertar estas fibras dentro del mortero o cemento para preservar su comportamiento mecánico en términos de tenacidad, ductilidad, resistencia ... mientras se extiende su amortización de flexión luego de su posible ruptura. Nuestros objetivos fueron: 1. definir un nuevo proceso de fabricación de fibras naturales largas y de alta calidad utilizando el proceso de Descompresión Instantánea Controlada DIC junto con una reacción adecuada "organosolv"; 2. diseñar y construir un reactor TRIPOLIUM DIC específico a escala de laboratorio dedicado a tal operación mediante el acoplamiento del tratamiento con solventes de diversos materiales naturales y DIC; 3. identificar las correlaciones entre las especificidades de dichas fibras naturales y las características de los morteros que pretenden reforzar su aspecto y comportamiento antisísmico al inducir un comportamiento no lineal posterior a un agrietamiento capaz de absorber la parte principal de energía de rotura antes colapsar. El análisis del comportamiento mecánico del Mortero Reforzado con Fibra Natural NFRM se realizó de manera detallada. La distribución y la orientación de las fibras fueron consideradas como los parámetros más críticos. La geometría de la estructura dictará en última instancia la composición NFRM que proporciona el mejor comportamiento para el cual está diseñado el refuerzo de fibra. Por lo tanto, este objetivo de producir mortero reforzado con fibra natural (NFRM) debería permitir definir una base interesante de la arquitectura paraseísmica
Palabras clave: Descompresión instantánea Controlada (DIC) Mortero Reforzado con Fbras Naturales (NFRM) Tripolium (tratamiento por organosolv intermitente) Edificio paraseísmico

Natural fiber reinforced mortars to induce a specific mechanical amortization behavior in rupture as basis of seismic-resistant architecture

Keywords: Instant Controlled Pressure Drop (DIC) Natural Fiber Reinforced Mortar (NFRM) Tripolium (intermittent organosolv treatment) Seismic-resistant building	The main focus of the actual research work was to define and study an emerging effective manufacturing process of producing natural fibers. It is also to insert them within the mortar or cement to preserve their mechanical behavior in terms of toughness, ductility, resistance... while extending their bending amortization following their possible rupture. Our objectives have been to: 1. define a new process for manufacturing high quality long natural fibers using Instant Controlled Pressure-Drop DIC - assisted "organosolv"; 2. design and build a specific laboratory-scale TRIPOLIUM DIC reactor devoted to such an operation by coupling the solvent treatment of various natural materials and DIC; 3. identify correlations between the specificities of such natural fibers and the characteristics of the mortars intending to reinforce their anti-seismic aspect and behavior by inducing a non-linear large-time post-cracking behavior able to absorb the main amounts of breakage energy prior to collapse. The analysis of the mechanical behavior of the NATURAL FIBER REINFORCED MORTARS (NFRMs) was achieved in a well-detailed manner. Fiber distribution and fiber orientation were approached as the most critical parameters. The geometry of the structure shall ultimately dictate the NFRM composition that provides the best behavior for which fiber reinforcement is designed. Thus, this objective of producing Natural Fiber Reinforced Mortar (NFRM) should allow defining an interesting basis of seismic-resistant architecture.

1 Introduction

1.1 Historic aspect of fiber reinforced concrete

Cement mortars and concrete are the most common material for building. However, their toughness, ductility, and flexural resistance are too low while the rupture is usually achieved in so short time that it is normally qualified as instantaneous. In the last few years, an increase in interest has been ascribed to emerging techniques that are promising as able to reinforce cement composites with specific fibers for the building industry. However, scarce is the research work focusing on reinforcing concrete for enlarging amortization time following the instant rupture.

The 19-FRC Committee (FIBER REINFORCED CEMENT COMPOSITES) was constituted in September 1972 and initiated the International Union of Laboratories and Experts in Construction Materials, Systems and Structures (RILEM) 1975 Symposium in London on Fiber Cement and Fiber Concrete. The related extensive research works need combining the modern definition of synthetical materials with the new development of industrial building ways. Continuous series of workshops were spaced three to four years apart, in the foreseeable future. The Seventh International RILEM Workshop on High-Performance Fiber Reinforced Cement Composites (HPFRCC7) was held in Stuttgart, Germany – June 1-3, 2015. It dealt with composites able to exhibit a strain hardening tensile. Multiple cracking (and relatively large energy absorption capacity) with “high performing” workability, durability and robustness normally accompanies the stress-strain response. In this seventh workshop, the impact of cyclic and/or seismic loading was identified by organizers as one of the themes for which research information is needed.

Recently, the 4th International RILEM Conference, which was held at the Technische Universität Dresden, Germany, from September 18 to 20, 2017, had concerned Strain-Hardening Cement-Based Composites (SHCC4). It focused on advanced fiber-reinforced concrete materials such as high-performance fiber-reinforced cement-based composites (HPFRCC). Today HPFRCC can be designed with as little as 1% fiber volume content. The 4th International RILEM Conference deals with the use of such types of fiber-reinforced concrete in strengthening and repair as well as in other practical applications. The fourth “International Symposium on Ultra-High-Performance Fiber-Reinforced Concrete, UHPFRC” held on October 2-4, 2017, in Montpellier (France) dealt with the “SEISMIC DESIGN AND PERFORMANCE OF ULTRA-HIGH-PERFORMANCE CONCRETE BRIDGE BENTS”.

The post cracking toughness resulting in multiple cracking formations is the major advantage of fiber reinforcement in building and may allow their more intensive use [1]. The fibers bridge the matrix cracks and transfer the loads after cracking has started [2,3]. The main function of fibers is to control crack propagation and crack widening after the matrix has cracked and cannot impede the formation of cracks. The mechanical properties of FRC are, as such, little influenced by the presence of fibers. The far significant technical and economic advantages are a well-defined and insurable resistance to crack propagation and post-cracking behavior; This is to justify the use of FRC than any strength behavior.

Many studies have investigated the performance of synthetic fiber fabric reinforced cement composites [4-8]. However, initial processing costs, recyclability, energy consumption, machine abrasion and the increasing global consciousness related to the adverse effect of synthetic materials on the environment have motivated extensive research on environmentally friendly and healthy materials based on natural resources materials. In this sense, natural renewable vegetable fibers including ramie, jute, Grewia optiva, Hibiscus sabdariffa, flax, hemp (bast fibers), sisal, and abaca (leaf fibers) [9–14], cotton (seed hairs) [15] have become the focus of increased interest as a substitute for traditional reinforcing fibers such as steel, glass and carbon as reinforcements for cement mortar composites [16–18]. Currently, building applications present 75% of the North American market of natural fibers.

1.2 Why and how to use natural fiber to produce FRC

Some advantages of natural fibers can be given as wide availability, low density/lightweight, inexpensive (less the 1/3 of the cost of glass fiber), high toughness, especially ductility when dynamic loads are present [19], a high flexural capacity [20,21], crack resistance, low health hazards, enhanced energy recovery, CO2 neutrality, renewable resource, recyclable and non-abrasive to process equipment [22-25]. Their specific strength which is normalized by weight can be close to that of glass fibers [26]. Their morphology (diameter, aspect ratio, length, roughness) can be easily adapted to different purposes.

The performance of a composite notably depends on the amount and length of the fibers which vary with the nature of the plant fibers and the composite fabrication method [27,28].

1.2.1 Treatment, extraction and purification

Despite the aforementioned advantages, some drawbacks still need to be studied and solved to allow widespread development of plant fiber cement reinforcements. The most important constraint is the hydrophilic nature of the fibers due to the presence of hydrophilic hydroxyl groups on the surface of cellulosic fibers, which causes swelling and plasticizing effects of the fibers and affects the long-term durability of plants fibers reinforced alkaline medium of cement-based composites [29,30]. Alkali attack, fiber mineralization due to the migration of hydration products to lumens, and space and volume variation due to their high-water absorption [31–34] cause the material to have a reduction in post-cracking strength and toughness, therefore full commercial potential is not achieved [35-38]. Various chemical methods, such as alkalization, benzoylation and acetylation are available for the modification of plant fiber surface or to modify the composition of the matrix in order to remove or reduce the alkaline compounds such as a pozzolanic matrix.

The addition of aqueous sodium hydroxide (NaOH) to the natural fiber, promotes the ionization of the hydroxyl group to the alkoxide [39]. Furthermore, the alkaline treatment causes changes in crystallinity, which leads to better backing of cellulose chains [40]. The alkaline treatment causes disruption of the hydrogen bonding in the network structure, thereby rising surface roughness, which results in better mechanical interlocking. Moreover, it removes a certain amount of lignin, wax, and oil on the surface of the fiber cell wall. These changes in physical and mechanical properties of natural fibers considerably depend on a number of factors such as the concentration of the alkali solution, soaking time, and temperature [41].

Fiber length, distribution, and concentration then become the most critical parameters that can make or break the FRC as a construction material with crack control properties, and these two factors depend on the placement and compaction. The geometry of the structure will ultimately dictate the FRC composition that will provide the properties for which the fiber reinforcement is designed.

1.2.2 Uses of natural fibers in building sector

Natural fibers can be used to reinforce cementitious materials in several forms, such as short-randomly oriented, pulp and long aligned fibers (uni or bi-directional fabrics). Savastano et al. (2001) [42] used pine trees and sisal pulps to reinforce ordinary Portland cement and blast furnace slag matrices and evaluated their mechanical properties by means of three-point bending test. More studies are required in order to optimize the performance of cellulose fabric reinforced cement composites.

This review document presents the summary of 500 recently published comprehensive papers done until 2017. These articles have concerned plant natural fiber reinforced cement and concrete, focusing on the impacts of plant types and sources of plant-fibers, as well as the processing ways and conditions, on the mechanical behavior and/or modification of the fiber-reinforced concretes with cement, mortar, and fibers. It also focuses on recent developments and applications in earthquake engineering and seismic rehabilitation. This paper does not include natural fibers from animal (e.g., silk or wool), or cellulosic cotton or artificial fibers and excludes wood fibers.

1.2.3 Fibers as reinforcement means within mortar

Some authors have proposed plant-based natural fibers to replace steel. This use was projected to be limited to developing countries. Such uses are, from our point of view, too dangerous and inadequate with the real safety needs in the building. Our proposal in the present project is to “add” (and not replace) and insert the natural fibers to the cement possibly steel-reinforced. This last maintains assuring resistance security. The presence of fibers aims at reaching a great amortization of instant/intense mechanical solicitation energy issued from, as for an example, seismic perturbation. The nature, size, concentration, and surface interaction with these fibers should be perfectly defined with the objective of reaching the most extended amortization time. The main part of our research work within the present project deals with the definition of “how to insert natural fibers within mortar with this seismic resistance objective”.

1.3 Earthquake engineering and Seismic retrofitting

The discontinuous phase is usually harder and stronger than the continuous phase and is called the reinforcement ‘or reinforcing material ‘, whereas the continuous phase is termed as the matrix.

Further, the need of composite for lighter construction materials and more seismic resistant structures has placed a high emphasis on the use of new and advanced materials that not only decreases dead weight but also absorbs the shock & vibration through tailored microstructures. A good matrix should possess the ability to deform easily under applied load, transfer the load onto the fibers and evenly distributive stress concentration. Nowadays, the use of composites columns, especially concrete wrapped with FRPs, has gained popularity in high-rise buildings and high seismic risk regions due to the high strength-to-weight ratio and increased deformability [43].

Damage after an earthquake interferes with evacuation, emergency response, and post-earthquake recovery. There are two ways to improve seismic capacity. One is to reduce the earthquake force and the other is to upgrade the existing building to resist the earthquake load. There are also two ways to upgrade the existing building. One is to change the structural system or to change the load paths to reduce the load to the specific element, and the other is to upgrade the individual element strength.

It is easier to improve the earthquake resistance of new buildings than to upgrade existing ones. The first part discusses the strengthening earthquake resistance of new building (Earthquake engineering). Moreover, earthquake protection requires consideration of how to upgrade and strengthen existing buildings at modest cost. The last part discusses the post-earthquake repair of existing buildings (seismic retrofitting).

The primary solution for achieving enhanced sustainable utilization of infrastructural units is basically by strengthening these units prior to their failures. Strengthening building components with suitable materials results in optimum productivity of constructional units, thus enhancing the life period of structures, and also enabling the structural component to perform better under bending, shear, torsion, and buckling, etc. Research reveals that fiber reinforced polymer (FRP) strengthening techniques have various advantages and leads to optimizing the engineering capabilities of structural units to their maximum limits, without resulting in any failures and also leads to an enhancement in the design life of the structural components [44-53]. Sustainable structural strengthening solutions for reinforced concrete appears to be the most promising solution to ensure sustainability in the construction industry since reinforced cement concrete is the primary constructional material used all over the world.

Buildings may be subjected to large axial stresses as well as severe earthquake loading. To protect the integrity of these buildings, concrete columns must possess high compressive strength and adequate ductility.

The strength and ductility are essential closely interrelated properties for earthquake-resistant structures material requirements. Structures can survive short-term accidental overloads if they were made-up from ductile materials because, instead of simply breaking, they can absorb a large amount of energy and deform without losing strength during the overload. Concrete and all types of masonry, without reinforcement, are brittle materials. Steel is very suitable for building earthquake areas for its inherently strong and ductile material but light (i.e. have a high strength-to-weight ratio).

1.4 The project Kreative Habitat

The works detailed in this paper were carried out within Kreative habitat research project, aiming at developing ductile solutions of Fiber-Reinforced Concrete (FRC) structures for earthquake engineering and retrofitting applications, where natural fibers extracted by a new process DIC-Organosolv can be fruitfully applied, which often relies on the safe accounting for contribution of reinforcing natural fibers to structural ductility and improve the time of flexion.

2 Material and methods

The objective of the work was to study the mechanical impact of incorporating natural fibers into building mortar specimens. In some preliminary research works and studies, the most usual fiber we used was flax fiber, supplied by Saneco. The figure (1) presents these flax fibers.

Figure (1): Flax fibers supplied by Saneco.

2.1 First experimental design

In this mechanical testing activities, we selected 2 processing parameters: the length and concentration of these fibers in the mortar. A specific central, rotatable, 2-factor, 5-level Design of Experiments DoE, including factorial repartition, star, and central points was defined. Such a design of experiment allows getting the widest possible study field, limiting the number of tests, and well-defining and identifying the impacts of each operating factor. The table (1) shows the coded and real values of each of the 5 levels.

Table 1. The 5 levels of each factor of 1/ length and 2/ concentration per layer.

Code values	-α	-1	0	+1	+α
Length (cm) = A	2	4	9	14	16
Concentration per layer g/(4*16 cm2) = B	1.60	1.83	2.40	2.97	3.20

We used the statistical analysis software, StatGraphics, to precise us the tests to perform. The table (2) indicates the various trials: the different combinations of length and concentration achieved. In this first experimental design, we preferred a specific, well-located fibers. So, the fibers were positioned in the center of the mold and over the entire width.

Table 2. Trials 1 to 13 of conventional trials and 14 to 18 of extended-trials of the DoE, where CPP: Centralized Processing Points are 1,4, 7, 10, and 13

Trial Number	CPP	2	3	5	6	8	9
A (cm)	9 (0)	16 (+α)	9 (0)	14 (+1)	14 (+1)	4 (-1)	4 (-1)
B g/(cm²)	2.40 (0)	2.40 (0)	3.20 (+α)	2.97 (+1)	1.83 (-1)	1.83 (-1)	2.97 (+1)

Trial Number	11	12	14	15	16	17	18
A (cm)	2 (-α)	9 (0)	16 (+α)	16 (+α)	2 (-α)	2 (-α)	16 (+α)
B g/(cm²)	2.40 (0)	1.60 (-α)	3.20 (+α)	1.60 (-α)	3.20 (+α)	1.60 (-α)	2.40 (0)

The trials 1 to 13, and 14 to 18 as factorial-points and additional-star experimental points, respectively, were StatGraphically analyzed.

Each sample was manufactured according to the following protocol: a 1^st 1-cm mortar layer, a fiber layer, a 2^nd 2-cm mortar layer, a second layer of fiber, another 3rd 1-cm mortar layer.

After each layer of mortar, the mold was vibrated for a few seconds to have a uniform deposit. Three 40 × 40 × 160 mm³ samples were casted with each batch using a three-gang mold. The molds were manually filled in two fiber layers. The protocol was carried out here-after: After the last layer of mortar, the whole is vibrated a few seconds then the surface is smoothed manually. Samples were stored in high relative humidity sealed plastic bags to maintain endogenous conditions for 24 h before demolding. The specimens were then cured in a water (relative humidity = 100 %) for 28 days. We obtained 21 samples: n°1 to 13 were the experimental design points, n° 14 to 18 were experimental design supplementary points, and n°19, 20 and 21 were mortar without fibers.

2.2 The second experimental design

After the analyze of the first result, we selected a random localization of the fibers. We also adopted the fiber length and the concentration per sample, and not the concentration per layer). The table (3) shows the coded and new real values of each of the 5 levels.

Table 3. The 5 levels of each factor of 1/ length and 2/ concentration per sample.

Code values	-α	-1	0	+1	+α
Length (cm) = A	2	4	9	14	16
Concentration per sample g/(cm³) = B	0.04	0.09	0.20	0.31	0.36

The table (4) indicates the various trials: the different combinations of length and concentration achieved. In the last column, we placed a picture of the manufacture of the concerned sample.

Table 4. Trials 1 to 13 of correspond to the DoE and 14 an added soaked -fiber for a night point

Trial Number	1	2	3	4	5	6	7
A (cm)	6 (0)	10 (+α)	6 (0)	6 (0)	9 (+1)	9 (+1)	6 (0)
B g/(cm³)	0.20 (0)	0.20 (0)	0.36 (+α)	0.20 (0)	0.31 (+1)	0.09 (-1)	0.20 (0)

Trial Number	8	9	10	11	12	13	14
A (cm)	3 (-1)	3 (-1)	6 (0)	2 (-α)	6 (0)	6 (0)	6 (0)
B g/(cm³)	0.09 (-1)	0.31 (+1)	0.20 (0)	0.20 (0)	0.04 (-α)	0.20 (0)	0.20 (0)

Each sample was manufactured according to the following protocol. The mortar was prepared following the same composition as the first DoE. Then, the quantity of fibers was incorporated into the mortar. These quantities were indicated by the DoE. The samples triplicated in 40×40×160 mm³ size, were casted with each batch using a three-gang mold.

Once the mold was mortar filled, the system was vibrated a few seconds and the surface was manually smoothed. Samples were stored in high relative humidity sealed plastic bags to maintain endogenous conditions for 24 h before demolding. The specimens were then cured in water (relative humidity = 100 %) for 28 days. 17 samples were studied: n°1 to 13 were issued from the factorial, star, and central DoE points, and n° 14 was extended DoE trial, while trials n°15, 16, and 17 were the free-fiber mortars.

2.3 The final tests

To simulate the earthquake, we decided to perform a structure of the wall, we build a specific mold. The length was 28 cm and the width 25 cm. In the middle, we put a piece of wood to “draw” a window. The thickness of the walls was about 2 cm.

2.4 Assessments of samples

The reinforced and conventional mortar specimens were kept and soaked in water for 28 days. Afterward, we performed a series of 3-point Flexure Tests. For first and the second DoE, the followed equipment was used to perform these bending tests (Figure (4)):

The principle of 3-point flexure test is to place the specimen on the 2 supporting pins. A third supporting bin, present on the upper part of the mobile piece is positioned in the middle of the test specimen. By modifying its position, this third supporting pin was exerting increasing force until the stress exerted causes the rupture of the test piece.

File:BESOMBES et al 2021a-image6.png

Figure 4. Scheme and images of 3-point Flexure Test unit

The responses were 1/ the bending time (s) and 2/ the strength (kN), and 3/ the stress (MPa).

3 Results

3.1 First experimental design

The responses we used were:

1. bending time (s),

2. strength (kN),

3. stress (MPa).

All these responses were recorded on computer. In Table 3, the first two columns recall the levels of the operating parameters. The three columns give the results for bending time, strength and stress. In the last column, we placed photos of the specimens after the bending test.

Table 3. Results of the different tests achieved using various conventional (fiber-free mortar) and fiber-reinforced mortar.

	Length (cm)	Concentration*	Bending Time (s)	Strength (kN)	Slope
DIC01	9	2.4	20.83	3.44	0.1642
DIC02	16	2.4	10.42	1.77	0.1656
DIC03	9	3.2	21.03	3.53	0.1661
DIC04	9	2.4	20.63	3.37	0.1622
DIC05	14	2.97	16.63	2.80	0.1665
DIC06	14	1.83	23.03	3.83	0.1649
DIC07	9	2.4	22.83	3.74	0.1629
DIC08	4	1.83	29.03	4.84	0.1656
DIC09	4	2.97	21.03	3.46	0.1649
DIC10	9	2.4	23.23	3.87	0.1655
DIC11	2	2.4	27.04	4.56	0.1666
DIC12	9	1.6	19.03	3.15	0.1657
DIC13	9	2.4	24.43	4.09	0.1658
DIC14	16	3.2	12.03	2.01	0.1647
DIC15	16	1.6	24.63	4.12	0.1658
DIC16	2	3.2	22.23	3.70	0.1660
DIC17	2	1.6	28.03	4.68	0.1651
DIC18	16	2.4	17.63	2.94	0.1648
MP1	0	0	21.03	3.53	0.1667
MP2	0	0	26.23	4.32	0.1620
MP3	0	0	26.83	4.44	0.1635

Concentration (g fiber/kg mortar)

Fiber reinforced mortar:

Free-fiber mortar:

Coefficient correlation	Length	Bending Time	Strength	Slope	Concen tration
Fiber length	1	-0.67	-0.66	0.11	0.50
Bending Time (s)	-0.67	1	1.00	-0.12	-0.44
Strength (kN)	-0.66	1.00	1	-0.08	-0.43
Slope	0.11	-0.12	-0.08	1	0.27
Concentration (g fiber/kg mortar)	0.50	-0.44	-0.43	0.27	1

At the end of the test, the non-reinforced specimens of mortar were immediately abruptly broken into 2 independent blocks. In the case of all reinforced specimens, at least some fibers remained intact. We did not get 2 independent blocks.

Tests 8, 11 and 17 gave higher responses than those obtained with the non-reinforced mortar. It was clear that such a behavior strictly depends on both fiber length and concentration.

It also was worth noticing that the layers of fibers formed lines of least resistance. These last promoted the rupture of the test specimens.

The multiple regressions testing was carried out on trial data. The linear main effect model in coded unit shows the role of every variable and their interactions in independent variables.

Table 4. Parameters estimation for CCD design experiments during three-point flexural test of flax fiber reinforced mortar.

Source	df	Coeff.	Std.Err.	p-value
Mean/Interc.		8.42136	0,28316	0,000000
(1) Fiber length (cm)(L)	1	-1.27596	0,28539	0,000528
(2) [C]/layer (g)(L)	1	-0.92005	0,30112	0,008556
1L by 2L	1	-0.22435	0,27161	0,422649*
Lack of Fit	9			0,372785*

L: linear; * Non-significant (p value >5%).

An analysis of variance was performed on the results obtained, with the Statistica 10 software; it reveals significant negative linear effects (p <0.05) of flax fiber length and masse of fiber per layer implying a decrease in constraint after three-point flexural test. It should be noted that the interaction between the length and mass of fiber per layer was insignificant in the experimental field studied (Table 4).

The mathematical equation in terms of coded factors for three-point flexural test on constraint model is shown in Eq. (1).

(1)

The sufficiency of the model was evaluated through analysis of variance (ANOVA). Moreover, the variation of the data around the fitted model designed by the Lack of Fit was also checked. In the present study, the Lack of Fit is not significant relative to the pure error, indicating good response to the model.

ANOVA indicated that the first-order polynomial model (Eq. 3)) was adequate to represent the actual relationship between the response and the variables, with an acceptable value of coefficient of determination (R² = 0.68188). The value of the adjusted determination coefficient (adjusted R² = 0. 61371) was also acceptable to indicate a significance of the model.

The result also could be explained by the frequency histogram Pareto chart of effects (Fig. 2). Pareto analysis is a technique that helps to prioritize and focus resources visually. It shows the influence of each factor on the response in decreasing order. As it can be seen (Fig. 3), the most important negative linear effect for constraint were the length of flax fiber followed by the masse of flax fiber per layer. The efficiency of constraint was also affected by factor interaction such as L x [C] but is it statically non-significant.

All the results mentioned above are in agreement with many study, which state that by using highly concentration of fiber, a considerable mortar weight loss can be achieved along with a low constraint.

File:BESOMBES et al 2021a-image13.png

Figure 5. The Pareto chart of standardized effect of the main effects for Constraint (MPa).

The Response surface and contour plots were generated as a function of the two independent variables at a time are more helpful in. The three-dimensional surface curves were plotted to understand both the main and the interactive effects of these two factors and provide useful information about the behavior of the system within the experimental design. The response surface plots for constraint is shown in figure 6, for significant factor interaction resulted from the ANOVA.

Figure 6 shows the increased constraint with decrease in length and mass of fiber flax per layer. This is mainly because of the increase in the mass of cement composition of the mortar. The result also indicated that concentration could act as limiting factors and increase in their values cause changes in the composition of the mortar, resulting in loss of density with an increase of the vacuum, leading to poor fiber cement cohesion.

File:BESOMBES et al 2021a-image14-c.png

Figure 6. Estimated Surface Response obtained for Constraint (M Pa).

3.2 The second experimental design

Table 3 summarizes the results of the different tests we achieved using the various conventional and fiber-reinforced specimens. Each mold contained 3 samples and each mold was filled with mortar corresponding to the conditions of one point of the experimental design. So, each point of the experimental design was repeated 3 times. The first two columns recall the levels of the operating parameters. The three columns give the results for bending time, strength and stress. In the last column, we placed photos of the specimens after the bending test.

At the end of the test, all specimens of mortar (reinforced or non-reinforced) were broken into 2 independent blocks. Tests 5, 6, 7, 11 and 14 gave higher responses than those obtained with the non-reinforced mortar. As the layout is random, there is no line of least resistance, in the opposite of our first study. Although it is very difficult to identify the impact of the fiber, but we think our level of concentration were too low.

Table 3. Results of the tests, points 1 to 14 and NF for mortar non-reinforced by fiber

	Fiber length (cm)	Bending Time (s)		Strength (kN)			Slope	Quantity of fiber (g)			Sample mass (g)		Relative number of fibers			Mass of mortar (g)		Fiber concentration
DIC01A	6.00	19.23		3.20			0.1645	0.20			524.78		6.35			524.58		0.38
DIC01B	6.00	20.03		3.32			0.1639	0.20			531.74		6.27			531.54		0.38
DIC01C	6.00	17.83		3.02			0.1669	0.20			526.31		6.34			526.11		0.38
DIC02A	10.00	20.43		3.40			0.1660	0.20			542.26		3.69			542.06		0.37
DIC02B	10.00	19.03		3.19			0.1662	0.20			528.75		3.78			528.55		0.38
DIC02C	10.00	17.83		3.00			0.1656	0.20			525.53		3.81			525.33		0.38
DIC03A	6.00	19.63		3.30			0.1665	0.36			517.66		11.49			517.30		0.69
DIC03B	6.00	17.03		2.61			0.1587	0.36			523.05		11.37			522.69		0.68
DIC03C	6.00	19.63		3.29			0.1653	0.36			536.56		11.19			536.20		0.67
DIC04A	6.00	18.23		2.99			0.1628	0.20			534.32		6.24			534.12		0.37
DIC04B	6.00	20.63		3.44			0.1660	0.20			529.38		6.30			529.18		0.38
DIC04C	6.00	20.43		3.35			0.1625	0.20			535.21		6.23			535.01		0.37
DIC05A	8.83	21.43		3.57			0.1659	0.31			537.43		6.54			537.12		0.58
DIC05B	8.83	21.63		3.61			0.1662	0.31			533.33		6.59			533.02		0.58
DIC05C	8.83	21.03		3.45			0.1633	0.31			534.34		6.59			534.03		0.58
DIC06A	8.83	21.43		3.57			0.1659	0.09			518.95		1.95			518.86		0.17
DIC06B	8.83	21.03		3.49			0.1653	0.09			525.94		1.92			525.85		0.17
DIC06C	8.83	21.23		3.56			0.1670	0.09			529.96		1.91			529.87		0.17
DIC07A	6.00	20.83		3.48			0.1651	0.20			529.98		6.29			529.78		0.38
DIC07B	6.00	20.84		3.48			0.1658	0.20			527.16		6.33			526.96		0.38
DIC07C	6.00	21.63		3.60			0.1659	0.20			536.40		6.22			536.20		0.37
DIC08A	3.17	19.83		3.28			0.1643	0.09			529.37		5.31			529.28		0.17
DIC08B	3.17	19.43		3.28			0.1678	0.09			539.04		5.22			538.95		0.17
DIC08C	3.17	21.03		3.53			0.1676	0.09			525.55		5.40			525.46		0.17
DIC09A	3.17	19.23		3.25			0.1661	0.31			529.47		18.48			529.16		0.59
DIC09B	3.17	21.43		3.60			0.1663	0.31			553.61		17.71			553.30		0.56
DIC09C	3.17	19.03		3.17			0.1645	0.31			530.91		18.47			530.60		0.59
DIC10A	6.00	21.03		3.54			0.1669	0.20			526.94		6.33			526.74		0.38
DIC10B	6.00	20.84		3.53			0.1676	0.20			531.64		6.27			531.44		0.38
DIC10C	6.00	19.83		3.33			0.1662	0.20			522.51		6.38			522.31		0.38
DIC11A	2.00	20.43		3.49			0.1684	0.20			536.09		18.66			535.89		0.37
DIC11B	2.00	20.43		3.45			0.1669	0.20			534.06		18.73			533.86		0.37
DIC11C	2.00	22.03		3.70			0.1665	0.20			525.40		19.04			525.20		0.38
DIC12A	6.00	20.23		3.36			0.1651	0.04			518.43		1.39			518.39		0.08
DIC12B	6.00	20.83		3.48			0.1654	0.04			527.70		1.37			527.66		0.08
DIC12C	6.00	17.83		3.08			0.1686	0.04			509.50		1.42			509.46		0.09
DIC13A	6.00	20.63		3.41			0.1627	0.20			526.70		6.33			526.50		0.38
DIC13B	6.00	22.23		3.71			0.1645	0.20			534.58		6.24			534.38		0.37
DIC13C	6.00	20.43		3.40			0.1636	0.20			525.23		6.35			525.03		0.38
DIC14A	6.00	21.43		3.32			0.1631	0.60			526.35		19.02			525.75		1.14
DIC14B	6.00	22.63		3.73			0.1639	0.60			535.57		18.69			534.97		1.12
DIC14C	6.00	22.83		3.82			0.1658	0.60			531.67		18.83			531.07		1.13
MP1A	0.00	19.83		3.32			0.1649	0.00			520.23		-			520.23		0.00
MP1B	0.00	21.63		3.60			0.1636	0.00			523.11		-			523.11		0.00
MP1C	0.00	20.63		3.45			0.1649	0.00			520.12		-			520.12		0.00
MP2A	0.00	21.43		3.57			0.1640	0.00			532.49		-			532.49		0.00
MP2B	0.00	18.43		3.05			0.1652	0.00			533.64		-			533.64		0.00
MP2C	0.00	20.03		3.35			0.1648	0.00			529.53		-			529.53		0.00
Coefficient correlation			Fiber length		Bending Time	Strength			Slope	Quantity of fiber		Sample weight		RNF	Mass of mortar		Fiber Concentration
Fiber length			1		0.14	0.14			0.04	0.19		0.04		-0.40	0.04		0.18
Bending Time			0.14		1	0.98			0.41	-0.21		0.24		-0.34	0.24		-0.23
Strength			0.14		0.98	1			0.59	-0.27		0.23		-0.39	0.23		-0.29
Slope			0.04		0.41	0.59			1	-0.39		0.06		-0.40	0.06		-0.39
Quantity of fiber			0.19		-0.21	-0.27			-0.39	1		0.07		0.81	0.06		1.00
Sample weight			0.04		0.24	0.23			0.06	0.07		1		-0.06	1.00		0.04
*RNF			-0.40		-0.34	-0.39			-0.40	0.81		-0.06		1	-0.07		0.82
Mass mortar			0.04		0.24	0.23			0.06	0.06		1.00		-0.07	1		0.03
**Fiber Concentration			0.18		-0.23	-0.29			-0.39	1.00		0.04		0.82	0.03		1.00

* RNF: Relative number of fibers: (g fiber/g mortar/m fiber length); **Fiber concentration (g fiber/kg mortar)

4 Conclusion

The experiments and measurements carried out have shown the high importance of using systems capable of extending the amortization time of the breakdown of architectural structures. The use of natural fibers in this concept was stated from the great interest which can generate the definition of a new process of purification of many cellulose-based fibers from all other compounds (lignin, hemicellulose...). The Tripolium coupling DIC with intermittent organosolv process should have a large-scale technical and economic impact.

The use of fibers in seismic-resistant construction is all the more interesting as the fibers may have a rougher surface, more spread-out bending resistance and a longer breakage time. The random distribution of fibers within the mortar should particularly facilitate the widespread adoption of this process.

5 Acknowledgment

This research was carried out under the Kreative Habitat project, funded by the Interreg Sudoe program

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