Indian Journal of Fibre & Textile Research Vol. 39, March 2014, pp. 14-23 Stochastic analysis of major physical properties of coconut fibre S Sengupta1,a, G Basu1, R Chakraborty1 & C J Thampi2 1 National Institute of Research on Jute and Allied Fibre Technology, 12 Regent Park, Kolkata 700 040, India 2 T. M. Natural Resource Research & Development Centre, Thiruvananthapuram 695 583, India Received 15 January 2013; revised received and accepted 6 May 2013 Distribution profile and inter-relation of major dimensional and mechanical property parameters of raw coconut fibre have been studied with the help of computerized statistical tool. Relations among the properties are evaluated using the bestfit transformation functions calculated through correlation coefficient. Four different types of defects have been identified and analyzed. All the properties are found to be asymmetric in nature and positively skewed. Diameter of a fibre varies along its length with tapering shape at both the ends. Three physical characteristics, namely length, diameter and linear density, are positively correlated among themselves and also with breaking load. They are negatively correlated with specific work of rupture in exponential manner. Flexural rigidity is positively correlated with diameter and linear density. No correlation has been observed for tenacity and elongation of fibre with length, diameter and linear density. Evaluation of length and diameter would be sufficient for quicker mode approximate assessment of quality (grading) for commercial grade coconut fibre lot. Keywords: Coconut fibre, Distribution profile, Physical properties, Statistical analysis 1 Introduction Coconut trees are grown in tropical countries like India, Sri Lanka, Myanmar, Thailand, Malaysia, Indonesia, Philippines, Fiji, etc. mainly for the high oil content of the endosperm (copra), which is widely used in both food and non-food industries, e.g. edible oil, margarine and soaps. The coconut husk is extracted after removal of nut. The fibrous material contained in the husk is used for manufacturing of household ropes and other coir based products like mattresses, carpets, mats, brushes, sacking, etc. Brown fibre is harvested from fully ripened coconut. Internal consumption and export of such sustainable material as coconut fibre and pith is increasing at a substantial rate for the last several years1. Mature brown fibres contain more lignin and less cellulose and so are stronger but less flexible. White fibres are harvested from the coconuts before they are fully ripened2. The fibre is separated from the husk by mechanical, chemical, and biological methods3, where the mechanical extraction is a common practice, although fibre quality and fibre loss are affected significantly4. Some major plus points about coconut fibre are that it is agro based, secondary crop, annually renewable, biodegradable and available at a —————— a Corresponding author. E-mail: [email protected] low cost. Coconut fibre does not loose strength on storage and on exposure to sunlight. In spite of having a number of favourable properties, the fibre is being used for producing household goods at manually operated traditional machines at rural and unorganized sector for decades; potentiality of the eco-sustainable fibre has still not been properly explored for making high performance and/or valueadded products. Some discreet information5-7 has also been reported on properties of coconut fibre. But the analysis of the basic physical properties of coconut fibre is scanty. Reports on variability of the property parameters of some other natural fibres are available recently8-11. For the qualitative segregation of coconut fibre with the aim for designing the machines and processing to produce high performance products, it is essential to know the properties of fibre and its inter-relation. So, in the present study, an exhaustive effort has been made to understand the distribution behavior and variability of some of the major dimensional properties (viz., length, diameter, linear density), and mechanical behaviour (viz., breaking tenacity, breaking extension, specific work of rupture, flexural rigidity) of the coconut fibre. An attempt has also been made to understand the inter-relation between SENGUPTA et al.: STOCHASTIC ANALYSIS OF MAJOR PHYSICAL PROPERTIES OF COCONUT FIBRE different properties of the coconut fibre. Naturally occurring defects in coconut fibre have also been identified and analysed. The reported work is a step forward for evolution of quality-cum-commercial grading system for coconut fibre. 2 Materials and Methods 15 Specific flexural rigidity, mN-mm²/tex² = (0.0047WL² × cos θ/tan θ)/(linear density of fibre in tex)² × 104 where W is the suspended load in mN; L, the perimeter of the ring; θ= 493 × d/L; and d, the deflection of the bottom of the ring loop under the action of the load. 2.1 Materials Unretted (raw) brown coconut fibres (Cocos nucifera) from 14 different locations of Tamil Nadu and Kerala states of India were collected for the study. 2.2 Methods 2.2.1 Sampling Process Raw fibre of 1 kg was collected from each of 14 locations by random sampling method. Then it was mixed well. A representative sample of 50 g was collected from the fibre-mix. From this, fibres were collected at random for the testing. These fibres were put into a desiccator for 48 h at 65% relative humidity and at 27°C for conditioning before estimation of properties. 2.2.2 Measurement of Length, Diameter and Linear Density Fibres were mounted on the board with cellotape separately and straightened. Length of each fibre was measured using a travelling microscope. Diameter of fibres was measured using a projection microscope with ×30 magnification. The fineness of fibres was measured by standard gravimetric method taking 10 mm cut lengths. The fineness of fibre has been expressed in terms of linear density12. 2.2.3 Measurement of Mechanical Properties The tensile property of coconut single fibre was tested on Instron-5567 tensile tester. The test length and strain rate were maintained at 20 mm and 20 mm/min respectively. Strength of the fibre is expressed by breaking tenacity (cN/tex) and calculated by the ratio of maximum load (cN) to the linear density (tex) of that fibre. Flexural rigidity was measured by the ring-loop method13. A mandrel was used for the preparation of fibre rings of 3.121 cm diameter. The fibre ring was supported on a hook and diameter was measured. Now, a specific weight of 0.01 g/tex was suspended on the fibre ring to give a deflection. The loading time of 60 s was allowed and the new position of the ring was determined. Specific flexural rigidity was expressed as follows: 2.2.4 Measurement of Defects To identify different natural defects in the coconut fibre, 100 g each from 14 samples was collected. Each sample was hand-opened and individualized to find out the defects present into the fibre. For this, an optical microscope of ×20 magnification was used. The quantity of each defect was expressed in per cent based on the weight of fibre. 3 Results and Discussion 3.1 Distribution of Different Properties of Coconut Fibre Table 1 summarizes the statistical distribution data, viz. extreme values, mean, median, mode, coefficient of variation (CV), skewness, standard error of skewness, kurtosis and standard error of kurtosis, of property parameters of coconut fibre. It is clear from the table that all the physical properties have high variation. Majority of the fibres are lying in the range of 4 - 12 cm length, 100 - 200 micron diameter and 10 - 20 tex linear density. This is mainly attributed to their natural inheritance. In coconut fibre, this variability is much higher due to poor extraction process and unorganized collection which mixes fibres of different maturity and varieties. To test the normality of all the characteristics, its skewness and kurtosis were evaluated. All the properties were shown to have skewed asymmetric curve. Similarly, kurtosis values, which are not zero, indicate that none of the characteristics follow normal distribution; either it is leptokurtic (positive value) or platykurtic (negative value). The distribution curves are shown in Fig. 1. Since it is evident that all the characteristics are asymmetric in nature, Kolmogorov-Smirnov (K-S) goodness-of-fit test14,15 is applied at a significance level α ≥ 0.5 to ascertain the best-fit curve, where highest K-S probability value represents the best asymmetric curve. Table 2 shows the K-S distribution and K-S probability values of fibre length for different probability density functions. The highest K-S probability value of 0.199 for Weibull function indicates the best-fit function for that property. All other properties of coconut INDIAN J. FIBRE TEXT. RES., MARCH 2014 16 Table 1 — Property parameters of various physical characteristics of coconut fibre Characteristics Length, cm Diameter, micron Linear density, tex Breaking tenacity cN/tex Breaking extension, % Specific work of rupture, mJ/tex-m Flexural rigidity, mN-mm² Specific flexural rigidity×104, mN-mm² Sample size Minimum Maximum Mean Median Mode Coefficient Skewness Standard error Kurtosis Standard error of of skewness of kurtosis for normal for normal variation distribution distribution 102 102 102 62 3.80 83.30 4.60 3.85 26.4 550.0 140.0 47.1 14.08 244.60 36.80 14.10 12.9 5.8 200.0 166.6 25.2 Multiple 11.8 10.3 50.9 52.9 80.4 47.3 0.221 0.818 0.993 1.650 0.239 0.233 0.230 0.300 -1.328 -0.445 0.050 3.120 0.473 0.463 0.469 0.610 62 7.70 51.6 28.20 28.3 Multiple 37.5 0.190 0.310 -0.660 0.600 62 7.10 172.4 57.60 51.3 Multiple 56.6 0.920 0.310 0.990 0.600 33 36.80 2084.3 811.40 864.1 1121.4 69.7 0.680 0.420 -0.080 0.820 34 500.30 15343.6 3524.00 2554.5 Multiple 94.3 2.580 0.400 7.100 0.780 Fig. 1 — Distribution profile of coconut fibre (a) length, (b) diameter, (c) linear density, (d) Tenacity, (e) breaking elongation, (f) specific work of rupture, (g) flexural rigidity, and (h) specific flexural rigidity SENGUPTA et al.: STOCHASTIC ANALYSIS OF MAJOR PHYSICAL PROPERTIES OF COCONUT FIBRE Table 2—Estimation of goodness of fit of different distribution curves for fibre length of coconut fibre Probability density function K-S da Weibull 0.1012 0.1081 Extreme 0.1168 Rayleigh 0.1192 Lognormal 0.2 Exponential Gamma 0.102 a Kolmogorov-Smirnov distribution. b Kolmogorov-Smirnov probability. K-S pb 0.199 0.145 0.094 0.083 <0.05 <0.05 Table 3— Best fit probability density function for different fibre properties of coconut fibre Property parameter Length Diameter Linear density Breaking strength Breaking extension Specific work of rupture Flexural rigidity Best fit probability density function Weibull Extreme Lognormal Extreme Weibull Weibull Extreme K-S p 0.199 0.124 0.337 0.996 0.972 0.905 0.983 fibre were tested likewise and the best-fit function of different properties along with its K-S probability value are listed in Table 3. This work deals with variation in different physical properties within a lot of coconut fibres randomly selected from mixture of fibres taken from a specified agro-ecological region in India. Natural fibres inherently differ from each other to a great extent. Information on average values of various property parameters and variability of each property parameters is essential to a processor to identify or to design processing machines to convert the fibre to value-added products. For any industrially processable fibre crop, an evenly distributed property parameter is most desirable to the processor. The results (Table 1) show that all the major property parameters of coconut fibre are highly variable and follows asymmetric distribution curve. It indicates the chance of coming out with highly variable textile products from processing machines inspite of taking all the possible measures to produce regular threadlike materials (twines and cordages) and any finer sheet-like materials. High variability in fibre length (Fig. 1) causes high hairiness protruded from thread surface. It becomes difficult to engineer finer materials if the diameter is highly variable. 17 High variability in diameter and linear density indicates that coconut fibre may be used in making much coarser materials like house-hold ropes and cordages. However, length-wise segregation of fibre would solve the problem to a considerable extent. Considering the asymmetric distribution [Fig 1(a)], the fibres may be segregated in following three major length-groups, namely (i) long, (ii) medium, and (iii) short. Figures reveal that number of medium length fibre is substantially higher than short followed by long fibres. The distribution of diameter as well as linear density values also shows nearly similar trend. In this case, number of coarse fibre is substantially higher than medium followed by fine fibres. So, the fibre mix may also be sorted by diameter or linear density [Figs 1(b) and (c)]. Due to differences in linear densities, segregation may be done by centrifugation or winnowing the fibre mix. The segregated fibres may be used for producing three different groups of materials. Long and coarse fibres may be used for producing conventional ropes and coarse mats, while medium length and fine fibre may be used for making finer textiles materials with improved property parameters, either elementarily or in blends with other fibres. Short fibres may be used in making flexible or semi-rigid composites and also used as geofibre16 for soil stabilization. It may be worth noting that distribution of mechanical property parameters (viz., breaking tenacity and elongation) are much less asymmetric [Figs. 1(d) & (e)] as compared to the dimensional property parameters. The coefficient of variation of breaking tenacity (47.3%) and breaking extension (37.5%) is lower than the CV of length (50.9%) and diameter (52.9%). Specific flexural rigidity values were highly asymmetric with CV, 94.3% [Fig 1(h)]. The increased coefficient variation, in this case, may be attributed to the combination of the two highly variable physical parameters, flexural rigidity and linear density. The problem has been further aggravated due to variation in diameter along the length of individual fibre. 3.2 Diameter Distribution along the Fibre Length Figure 2 shows variation in fibre diameter along the fibre length. Sixty fibres were selected randomly and divided into three equal parts as fine, medium, coarse according to its linear density. Diameter of all the fibres were measured from base to tip in 1 cm interval. The diameter of different fibres gradually 18 INDIAN J. FIBRE TEXT. RES., MARCH 2014 Fig. 2 — Variation in fibre diameter along the fibre length (root-to tip direction) (a) coarse fibre (62 tex), (b) medium fibre (25 tex) and (c) fine fibre (9.5 tex) increases from base to a mid-point, and then starts decreasing till the tip ends. The diameter of coarse fibre changes from 493 micron to 263 micron having the highest diameter at 550 micron with the coefficient of variation of 21.2%. The diameter of fine fibre changes from 93 micron to 91 micron having the highest diameter of 187 micron with the coefficient of variation of 25.6%. This may be one of the major reasons for high coefficient of variation of different fibre properties. Figure 2 reveals that individual fibre possesses variable diameter along its length tapering off at both the ends. 3.3 Inter-relation between two Fibre Properties Among the fibre properties studied, length, diameter and linear density can be studied easily. A rough estimation of these parameters can be done without any sophisticated instrument. A simple stainless steel scale graduated in ten divisions of a centimeter and an ordinary magnifying glass may be used to measure length and diameter, whereas a simple weighing balance may be used to get linear density. Therefore, it has been tried to understand the relationship (Table 4 and Figs 3-5) between these three parameters individually with other fibre properties so that those properties can be predicted from these three primary parameters. The properties which are poorly correlated and insignificant with fibre length are not shown graphically. Length is the most important primary parameter to judge fibre quality. This study shows a good correlation of fibre length with diameter (0.759), linear density (0.799), braking load (0.834) and specific work of rupture (0.743), out of which first three are positively correlated, whereas specific work of rupture is negatively correlated i.e with increase of length it decreases. The significance of these relations have also shown by student t-test (significance level α ≥ 0.5) and corresponding p value. Tenacity, breaking extension, flexural rigidity and specific flexural rigidity are poorly correlated with length and this is supported by the t-test and p-values. Table 4 shows the best fit equations for each relation. Diameter, linear density and braking load follow the second order polynomial, whereas specific work of rupture follows exponential curve. Figures 3(a)-(d) show the effect of fiber length on diameter, linear density, braking load and specific work of rupture of fibres. Diameter is another important primary parameter for fibre quality assessment. This study shows a good correlation of fibre diameter with length (0.799), linear density (0.893), braking load (0.785), specific work of rupture (0.826) and flexural rigidity (0.764) out of which first three are positively correlated. The significance of these relations is also shown by student t-test (significance level α ≥ 0.5) and corresponding p-value. Tenacity, breaking extension and specific flexural rigidity are poorly correlated with diameter and this is supported by the t-test and p-values. Table 4 shows the best fit equations for each relation. Diameter is related with linear density by linear equation and load by second order polynomial, whereas other properties exponentially. Figures 3(a) and 4(a) - (d) show the effect of diameter on length, linear density, breaking load, specific work of rupture and flexural rigidity of fibres. Linear density is an important primary fibre quality for processability point of view. This study shows a good correlation of linear density with length (0.799), breaking load (0.804), specific work of rupture (0.934) and flexural rigidity (0.739), out of which length, braking load and flexural rigidity are positively correlated i.e with increase of linear density other parameters increases, whereas specific work of rupture is negatively correlated i.e with increase of linear density it decreases. The significance of these relations is also shown by student t-test (significance level α ≥ 0.5) and corresponding p-value. Tenacity, breaking extension, and specific flexural rigidity are poorly correlated with linear density and this is supported by the t-test and p-values. Table 4 shows the best fit equations for each relation. Diameter and braking load follow the second order polynomial SENGUPTA et al.: STOCHASTIC ANALYSIS OF MAJOR PHYSICAL PROPERTIES OF COCONUT FIBRE Variable X Variable Y Length Length Length Length Length Length Diameter Linear density Breaking tenacity Breaking load Breaking extension Specific work of rupture Length Flexural rigidity Length Specific flexural rigidity Diameter Linear density Diameter Breaking load Diameter Breaking tenacity Diameter Breaking extension Diameter Specific work of rupture Diameter Flexural rigidity Diameter Specific flexural rigidity Linear density Breaking tenacity Linear density Breaking load Linear density Breaking extension Linear density Specific work of rupture Linear density Flexural rigidity Linear density Specific flexural rigidity p–Probability, * Insignificant. Table 4 — Relations of different physical characteristics Correlation Best-fit equation Degree of coefficient freedom Calculated t-value p-value 0.759 0.799 0.293 0.834 -0.272 -0.743 y = 0.533x2 - 5.525x + 153.1 y = 0.180x2 - 2.679x + 23.12 y = 1.809x2 - 19.31x + 208.8 y = 115.2e-0.07x 60 60 60 60 60 60 8.40 7.48 0.59 10.20 -2.44 -6.56 0.00001* 0.00010* 0.55500 0.00001* 0.01700* 0.00020* 0.423 -0.07 - 30 30 0.63 -0.40 0.53000 0.69000 0.893 0.785 -0.122 -0.437 -0.826 y = 0.255x - 21.31 y = -0.001x2 + 3.360x - 226.0 y = 190.3e-0.00x 60 60 60 60 60 15.38 11.50 -1.24 -2.94 -7.07 0.00001* 0.00010* 0.21900 0.00450* 0.00001* 0.764 -0.33 y = 117.3e-0.07x - 30 30 6.27 -1.99 0.00003* 0.05400 -0.207 0.804 60 60 -1.91 8.70 0.06000 0.00010* -0.316 -0.934 y = -0.066x2 + 15.83x + 0.656 y = 90.86e-0.02x 60 60 -3.42 -7.78 0.00110* 0.00001* 0.739 -0.302 y = 87.72e0.034x - 30 30 7.98 -1.79 0.00002* 0.08200 whereas others are related exponentially. Figures 3(b) and Figs 5(a) - (c) show the effect of linear density on length, braking load, specific work of rupture and flexural rigidity of fibres. In all the cases, it is apparent that the relations of easily measurable parameters (length, diameter and linear density) with breaking tenacity and specific flexural rigidity are very poor due to the combined effect of very high variability of linear density as well as basic parameter i.e breaking load or flexural rigidity. High linear density variation may be due to the age of the fibrous elements within or between the nuts. On reaching the maturity level, deposition of biological elements increases in both longitudinal and radial directions of the individual fibrous element as duration increases before harvesting. Furthermore, the diameter as well as linear density also varies along the length of fibre. The breaking extension is always poorly correlated, 19 as it is mainly governed by weak places and structural defects of fibres and not by the basic fibre parameters. That is why the extensibility of fibres is unpredictable by length, diameter and linear density. The best fit equations with significant correction coefficient help to predict major fibre quality parameters (linear density, breaking load, specific work of rupture and flexural rigidity) by easily measurable parameters (length and diameter). Since, the grading is generally done at growers’ field or at the market yard, our aim is to assess the quality characteristics of fibre in shorter period of time adopting minimum number of easily measurable parameters. The predicted values will help to grade the coconut fibre lot in farmers field by measuring length and diameter using ordinary scale and magnifying glass. By this process the farmer will fetch good economic return from the fibre. 20 INDIAN J. FIBRE TEXT. RES., MARCH 2014 Fig. 3 — Effect of fibre length on (a) diameter, (b) linear density, (c) breaking load, and (d) specific work of rupture Fig. 4 — Effect of diameter on (a) linear density, (b) breaking load, (c) specific work of rupture, and (d) flexural rigidity SENGUPTA et al.: STOCHASTIC ANALYSIS OF MAJOR PHYSICAL PROPERTIES OF COCONUT FIBRE 21 Fig. 5 — Effect of linear density on (a) breaking load, (b) specific work of rupture and, (c) flexural rigidity Textile and non-textile products prepared from the fibrous materials depend on fibre property and structural parameters of end product17. The major dimensional and mechanical property parameters of fibres include length, diameter, linear density, strength, elongation, work of rupture and flexural rigidity. Longer and finer (lower linear density) fibre produces stronger, regular and less hairy products. Soft fibre (low flexural rigidity) requires much less energy to twist a fibre bundle to make thread-like material. Soft fibre also yields stronger and softer textile materials. The increase in linear density, caused due to increased deposition of lignocellulosic Fig. 6 — Defects of coconut fibre (a) branched fibre, (b) insect bite, (c) coconut pit and (d) mid joint matters, restricts intermolecular movements during bending, resulting in high rigidity. Toughness (Specific work of rupture) depicts the combined effect of fibre strength and elongation and it indicates end use performance of the product. The stated fibre parameters also decide some other important product functional parameters, i.e. handle, insulation, etc. 3.4 Defects in Fibres Four main defects are identified namely (i) coconut peat, a dust-like matter of small particle size (10.64%); 22 INDIAN J. FIBRE TEXT. RES., MARCH 2014 (ii) mid-joint, a sticky bark-like matter at the middle of fibre (6.03%), (iii) branched fibre, branching out from the main fibrous element (2.35%) and (iv) insect bite (2.31%). On physical verification, it is found that the coco-peat would be removed from the fibres during their mechanical processing, such as opening, cleaning and drawing. Similarly, the mid-joints would also be opened up during the same processing machines. So, coco-peat and mid-joints may be considered as minor defects. Though, weight loss to an extent of 10% (or more) may cause monitory loss to the fibre processing units. Some branched fibre and insect bitten may be remained in the fibres even after initial mechanical processing and this would not be suitable for mechanical conversion to finer or value-added end products. So, branched fibre and insect bite may be considered as the major defect. Different defects are shown in Figures 6(a) – (d). Defects in fibre are one of the major parameters of fibre quality in terms of its processability, generation of waste and quality of the output of the machine. Minor defects are generally eliminated during processing of fibre and most of them are generally dropped down during processing in the machines and do not affect the end product quality. However, minor defects have some economic importance due to the waste generated from fibre lot. Among the major defects, branched fibre may cause generation of hairiness on the yarn surface. Insect bitten fibre may affect strength and appearance properties of the intermediate or of the end product. 4 Conclusion 4.1 Distribution of all the physical properties, such as length, diameter, linear density, breaking tenacity, breaking extension, specific work of rupture, flexural rigidity, and specific flexural rigidity, of the raw coconut fibres are of asymmetric nature with high coefficient of variation. 4.2 All the properties are positively skewed. Length, diameter, breaking extension and flexural rigidity are of platykurtik distribution, while breaking tenacity, specific work of rupture and specific flexural rigidity are of leptokurtik distribution. 4.3 Diameter of a fibre varies along its length with tapering shape at the both ends. 4.4 Length, diameter and linear density (three dimensional properties) are positively correlated among themselves. All these properties are positively correlated with breaking load and negatively correlated with specific work of rupture. Flexural rigidity is positively correlated with diameter and linear density. The error in the correlations are mainly due to high coefficient of variation in the properties. 4.5 No correlation has been observed for tenacity and elongation of fibre with its three dimensional properties, viz length, diameter and linear density. 4.6 Two major and two minor defects are identified in the raw fibre lots. The major defects identified are branched fibre and short and/or weak fibre due to insect bite, and minor defects are coconut peat and mid-joint. 4.7 Evaluation of length, diameter (thickness) by scale and magnifying glass would be sufficient for quicker mode approximate assessment of quality for commercial grade fibre lot. Evaluation of defects mostly gives the economic value of the fibre lot and may be assessed by separation and weighing method. 4.8 It is recommended that long and coarse fibre may be used for producing conventional ropes and coarse mats, while medium length fibre may be used for making finer textiles materials with improved property parameters, either elementarily or in blends with other fibres. Short fibres may be used in making flexible or semi-rigid composites and also as geofibre for soil stabilization. Acknowledgement Authors are grateful to Indian Council of Agricultural Research, New Delhi, India for granting National Agricultural Innovation Project, funded by the World Bank. References 1 FAO Statistics - Jute, Kenaf, Sisal, Abaca, Coir and Allied fibres (Food and Agriculture Organization of The United Nations, Rome) December 2010. 2 Wang W & Gu H, Mater Design, 30 (2009) 2741. 3 Satyanarayana K G, Pillai C K S, Sukumaran K, Pillai S G K, Rohatgi P K & Vijayan K, J Mater Sci, 17 (1982) 2453. 4 Moore H E, Genetes Herb, 11(2) (1973) 27. 5 Kulkarni A G, Satyanarayana K G, Sukumaran K & Rohatgi P K, J Mater Sci, 16 (1981) 905. 6 Varma D S, Varma M & Varma I K, Text Res J, 54 (1984) 827. 7 Bledzki A K, Riehmane S & Gassan J, J Appl Polym Sci, 59(8) (1996) 1329. 8 Bolormaa B, Drean J Y & Enkhtuya D, J Nat Fibers, 4(4) (2007) 1. 9 Das S & Ghosh A, J Nat Fibers, 4(2) (2007) 1. 10 Virk A S, Hall W & Summerscales J, J Nat Fibers, 7(3) (2010) 216. SENGUPTA et al.: STOCHASTIC ANALYSIS OF MAJOR PHYSICAL PROPERTIES OF COCONUT FIBRE 11 Mukhopadhyay S, Fangueiro R, Arpaç Y & Şentürk Ü, J Eng Fibers Fabrics, 3(2) (2008) 39. 12 Samanta A K, Basu G & Ghosh P, J Nat Fibres, 4(4) (2007) 59. 13 Samanta A K, Basu G & Ghosh P, J Text Inst, 99(4) (2008) 297. 14 Massey F J, J Am Statist Assoc, 46 (1951a) 68. 15 Miller L H, J Am Statist Assoc, 51 (1956) 111. 23 16 Balan K, Coir geotextiles – An ecofriendly engineering material, in Geosynthetics- New Horozons, edited by G Venkatappa Rao, P K Banerjee, J T Shahu and G V Ramana (Asian Books Pvt. Ltd., New Delhi, India), 2004. 365. 17 Goswami B C, Martindale J G & Scardino F L, Textile Yarns – Technology, Structure and Application (John Wiley & Sons, New York, USA), 1977, 143.
© Copyright 2026 Paperzz