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aramid fiber modulus of elasticity

. Standard modulus carbon fiber is rated at 33 MSI. Aramid fibers have a combination of good tensile strength and modulus; they are lightweight and have excellent toughness and outstanding ballistic and impact resistance. orthotropic materials. The continuous and aligned fiber- reinforced composite contains 30 vol96 aramid fibers. . Both of the two look sleek and stylish. Modulus of elasticity. The elastic moduli (Young's Modulus, shear modulus and Poisson's ratio) and damping of composites can be accurately characterized by the non-destructive Sonelastic ® Systems testing at room temperature, as well as at low and high temperatures, and/or curing time. The knowledge of exact values is vital for the optimization of the material's use and for the reliability of simulations via finite . High modulus reinforcement yarn can also minimize cable diameter and weight, while increasing resistance to deformation. Standard, high-performance aramid fiber has a modulus of about 20 Msi, tensile strength of approximately 500 ksi and elongation of nearly 3%. A continuous and aligned fiber-reinforced composite is to be produced consisting of 45 vol% aramid fibers and 55 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Modulus of Elasticity Tensile Strength [GPa (psi)] [MPa (psi)] Aramid fiber 131 (19 ? Upper and lower bounds are according to Equations 16.1 and . The differences are in order of one or two magnitudes. Interesting facts about Modulus of Elasticity. How come and which one? Elastic Modulus in Flex The elastic modulus measures the stiffness of a material, which is extremely important when it comes to designing of products. Kevlar® is an organic fiber in the aromatic polyamide family. Elasticity is a property of an object or material indicating how it will restore it to its original shape after distortion. The structure of aramid fiber is anisotropic gives higher strength and modulus in the fiber longitudinal direction. Aramid fiber is an aromatic polyamide . It is used for items like sporting goods, bike frames, and general-purpose tubing, as well as aerospace applications. High strength, high elastic modulus, and high abrasion resistance make these fibers well suited for fiber reinforced polymer (FRP) reinforcement and strengthening applications. to the fibers (one- or zero-degree direction), the modulus of elasticity E 11 approaches that of the fibers. E = Young's Modulus of Elasticity (Pa, N/m 2, lb/in 2, psi) named after the 18th-century English physician and physicist Thomas Young; Elasticity. ¾Boron fiber with the tungsten core has a density of 2.6 g/cc for a fiber of 100 micron diameter. Since E 11 >> E 22 and the modulus varies with direction within the However, in recent years, scientists have been able to develop distinct colors such as black, red, orange, green or blue. the greater the stress . 105) 65 … Continue reading "A continuous and aligned . . Since E 11 >> E 22 and the modulus varies with direction within the If the fibers are in the 1-2 plane, elastic properties are equal in the 2-3 directions so that E22=E33, ν12=ν13 and G 12 =G 13. Below is a list of some synthetic and natural fibers with their . Thus the number of independent elastic constants for a unidirectionally oriented fiber composite reduces to 5. Confusion: High Modulus is often confused with High Strength. modulus, and stability under extreme temperature and corrosive environments. Young's Modulus is a measure of the stiffness of a solid material. Aramid Fiber Reinforced Polymer (AFRP) Aramid fibers (also known as aromatic polyamide fibers) have high strength, a high elastic modulus, and 40% lower density than glass fibers. Most commonly glass fiber is used, to form GFRP rebar. Vm, Vf-Volume fraction of matrix and fiber respectively. Also, from Table 15.4 the value of E for aramid fibers is 131 GPa. In the United States customary units, it is often expressed as pounds (force) per square inch (psi). the volume fractions of polyester and kevlar are 60% and 40%, respectively. a continuous and aligned fiber-reinforced composite is to be produced consisting of 30 vol% aramid fibers and 70 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: modulus of elasticity (gpa) tensile strength (mpa) aramid fiber 131 3600 polycarbonate 2.4 65 also, the stress on the … Du Pont de Nemours & Company, Inc., in 1965 two research scientists, Stephanie Kwolek and Herbert Blades, were working in a corporate lab to create a new fiber.The technology they developed had enhanced strength, was lightweight and very flexible. It was developed for demanding industrial and advanced-technology applications. The Young's modulus of elasticity is the elastic modulus for tensile and compressive stress in the linear elasticity regime of a uniaxial deformation and is usually assessed by tensile tests. However, due to the lack of adhesion to the matrix, they exhibit relatively poor transverse tension, longitudinal compression and interlaminar shear strengths. 3.2 fiBers Fibers are typically made of glass, carbon, and aramid. . Kevlar is expensive and dangerous to manufacture partly because it is dissolved in concentrated sulfuric acid. 3. Rope Elasticity and Young's Modulus. Further more G23 can be expressed in terms of E22 and ν12. Whereas Young's modulus is denoted as "E" in 1807 by Thomas Young. A continuous aligned glass fiber-reinforced composite consists of 40 vol% of glass fibers having a modulus of elasticity of 69 GPa and 60 vol% of a polyester resin that, when hardened, displays a modulus of 3.4 GPa. It is chemically stable under a wide variety of exposure conditions; however, certain . Modulus of elasticity is the measure of the stress-strain relationship on the object. Formica countertop is a good example of this type of composite. The most common resins are epoxy and vinyl ester. to the fibers (one- or zero-degree direction), the modulus of elasticity E 11 approaches that of the fibers. Determine the elastic modulus in the matrix . A . The mechanical characteristics of these two materials are as follows: Aramid fiber: Modulus of elasticity. Confusion: High Modulus is often confused with High Strength. Both carbon fiber and aramid fiber are used for phone cases. For rope this confusion is easily explained: new high modulus fibers are usually very strong. This table summarizes modulus of elasticity of the most common materials you may encounter in your life. There are two families of Aramids: Para-aramids Used in composites and protection weaves, tires, fiber optics Click to see more. This causes the polymer chains to orientate in the direction of the fibre increasing strength. Standard modulus carbon fiber is the most commonly used grade across industries. Aramid fibers (also known as aromatic polyamide fibers) have high strength, a high elastic modulus, and 40% lower density than glass fibers. Modulus values in each direction are various, for example in parallel direction and the perpendicular direction. ¾The average tensile strength of boron fiber is 3-4 GPa, while its Young's modulus is between 380 and 400 GPa. The fibers are typically glass, aramid, basalt or carbon. High stiffness and strength carbon fiber materials are also available through specialized heat treatment processes with much higher values. Kevlar® has a unique combination of high strength, high modulus, toughness and thermal stability. 106) 3600 (520,000) Polycarbonate 2.4 (3.5 ? A continuous and aligned fiber-reinforced tubular shaft is to be produced consisting of 30 vol% aramid fibers and 70 vol% of a polycarbonate matrix; mechanical characteristics of these two materials are as follows: Modulus of Elasticity Tensile Strength Aramid fiber 131 GPa 3600 Polycarbonate 2.4 GPa 65 The tubular shaft is designed similar to . The elastic modulus is higher for fibers used in composites in general. Modulus of Elasticity. The static composite tensile strength, normalized to 70% fiber volume fraction is 200 x 10/sup 3/ psi, corresponding to a fiber stress at failure of 286 x 10/sup 3/ psi, which is good for materials having a very high fiber . The METHOD OF DRY-SPINNING PARA-ARAMID FIBER patent was filed with the USPTO on Thursday, December 19, 2013. (V is volume fraction) F /Fm=E V /EmVm(2) Calculate the actual loads carried by both fiber and matrix phases Ff + Fm= FC solve for Fm, F Aramid fiber is produced by spinning a solid fiber from a liquid chemical blend. In the research labs at E. I. ¾Boron has a density of 2.34 g/cc (about 15% less than that of Al). Two commercially available types of aramid fibers are Kevlar 29 and Kevlar 49. . The cost of aramid fibers is higher than glass and basalt fibers making them less common in structural applications. The structure endows aramid fibers with high tenacity, high modulus and great toughness. Modulus of Elasticity, Average Properties of Structural Materials, Shear Modulus, Poisson's Ratio, Density Thermal Properties of Metals, Conductivity, Thermal Expansion, Specific Heat The following chart gives ultimate strength, yield point and modulus of elasticity data for steel and iron. The greater the value of young's modulus, the stiffer is the material. Fiber Aramid Fiber Modulus of elasticity 125- 181 kN/mm2 7.5-112.4 kN/mm2 Tensile strength 4127 MPa 2757 MPa Ultimate strength 1600 MPa 1430 MPa Density 1.58g/cm3 1.44 g/cm3 Color Back Light golden Table 1.1 Properties of CFRP & AFRP . The aramid fibers have excellent fatigue and creep resistance. The approach to solving this problem is to calculate values of V f for both longitudinal and The unique properties and distinct chemical composition of wholly aromatic polyamides (aramids) distinguish them—and especially Kevlar®—from other commercial, man-made fibers. Aramid fibers are inherently heat- and flame-resistant, which maintain these properties at high temperatures. Kevlar fibers were originally developed as a replacement of steel in automotive tires. iii) Aramid Fibers. (CLPT) was developed to predict the longitudinal elastic modulus of a 2-D braided fiber composite. ¾The melting temperature of Boron is 2040 °C and it has a thermal Young's modulus is a measure of the stiffness of an elastic material and is one of the ways used to describe materials. One of the most common aramid fibers is Kevlar®; however®, there are many alternatives that feature an excellent combination of high modulus characteristics, low density and high electrical resistance. It quantifies the relationship between tensile/compressive stress (force per unit area) and axial strain (proportional deformation) in the linear . The static modulus, normalized to 70% fiber volume fraction is 8.87 x 10/sup 6/ psi. Correct answers: 2 question: Apolymer matrix composite consists of polyester reinforced with kevlar-29 fibers. Kevlar is a kind of polyamide. The equation for Young's Modulus, E is comprised of tensile stress, axial strain is shown below: Young's Modulus Formula = \(E = \sigma / \varepsilon\). A spring is an example of an elastic object - when stretched, it exerts a . Modulus refers to the ratio of stress (force per unit area) along an axis to strain (ratio of deformation over initial length) along that axis. the polyester matrix has a modulus of elasticity = 5.6 gpa in both directions . modulus of elasticity (Young's modulus) is much lower (6,000 ksi v. 29,000 ksi), as is its transverse shear strength (22 ksi v. 45 ksi) than steel. Additional specifics about fibers and matrix are described in the following sections. Modulus of elasticity (10 6 psi) Modulus of elasticity (GPa) 0 20406080 100 Tungsten concentration (vol%) 350 300 250 200 150 Upper bound Lower bound Figure 16.3 Modulus of elasticity versus volume percent tungsten for a composite of tungsten particles dispersed within a copper matrix. Youngs Modulus is = Stress / Strain They have much better mechanical properties than steel and glass fibers on an equal weight basis. Aramid fibers, formed from aromatic polyamide, provide exceptional impact resistance and good elongation (higher than carbon, but less than glass). The two properties are, however, unrelated. Aramid fibers ( aromatic polyamide ) was introduced by Dupont under the name Kevlar. modulus polyethylene (HMPE) and aramid (such as Kevlar) have become promising materials to. High modulus reinforcement yarn can also minimize cable diameter and weight, while increasing resistance to deformation. . (b) Using this expression, compute the longitudinal modulus of elasticity of a hybrid composite consisting of aramid and glass fibers in volume fractions of 0.25 and 0.35 respectively, within a polyester resin matrix $\left[E_{m}=4.0 \mathrm{GPa}\left(6 \times 10^{5} \mathrm{psi}\right)\right]$ Modulus of Elasticity Tensile Strength Aramid Fiber 131GPa 3600MPa Polycarbonate 2.4 GPa 65MPa Cross sectional area is 480mm and is subjected to a longitudinal load of 53400N. high strength and high elastic modulus for its weight.) Aramid fibers are high strength fibers that are better known for their use in bullet- and fire-resistant clothing. Nylon, for example, is a low modulus fiber with considerable strength. The aromatic polyamide are believed to be made by solution polycondensation of diamines and diacid halides at low temperature. Aramid Fiber: A synthetic fiber with exceptional strength and toughness commonly used in applications where high resistance to impacts. . The major Poisson's ratio is 0.37. Rope Elasticity and Young's Modulus. Kevlar 49:- Low density, high strength and modulus and used for aerospace and auto applications. The carbon fibers have a tensile modulus of elasticity ARAMID FIBERS FOR REINFORCING PLASTIC RESINS ARAMID fiber is the generic name for aromatic polyamide fibers. It is defined as the ratio of the uniaxial (in one direction) stress over the uniaxial strain (distortion in the same direction). The Molecular Structure of Aramid Fibers. In this article, let us learn about modulus of elasticity along with examples. The elastic moduli (Young's Modulus, shear modulus and Poisson's ratio) and damping of composites can be accurately characterized by the non-destructive Sonelastic ® Systems testing at room temperature, as well as at low and high temperatures, and/or curing time. The modulus of elasticity is constant. Trade name is Kevlar. Modulus of Elasticity and Young's Modulus both are the same. Find step-by-step Engineering solutions and your answer to the following textbook question: Is it possible to produce a continuous and oriented aramid fiber-epoxy matrix composite having longitudinal and transverse moduli of elasticity of 35 GPa $\left(5 \times 10^{6} \mathrm{psi}\right)$ and 5.17 GPa $\left(7.5 \times 10^{5} \mathrm{psi}\right)$, respectively? These newer fibres also have significantly higher breaking strengths. The strength is obtained by having the applied load transmitted from the matrix to the fibers. Carbon fiber, aramid fiber (Kevlar®) fiber are some of the filler material used in the long fiber type composites. Stevens, N. D., and Criner, G. K. (2000). Kevlar 29 is a low-density high-strength aramid fiber . Q2) A continuous and aligned fiber-reinforced composite is to be produced consisting of aramid fibers and polycarbonate matrix, mechanical characteristics of these two materials are as follows: This means the resulting material has a tensile modulus of 33 million pounds per square inch. Modulus of elasticity is the prime feature in the calculation of the deformation response of concrete when stress is applied.. Elastic constants are those constants which determine the deformation produced by a given stress . The METHOD OF DRY-SPINNING PARA-ARAMID FIBER patent was assigned a Application Number # 14758165 - by the United States Patent and Trademark Office (USPTO). An aramid fiber is an aromatic polyamide fiber which has high strength due to covalent bonding and high rigidity due to the aromatic ring structure. flame retardant, aramid fiber, glass fiber, carbon fiber, mineral, lubricated, impact resistant, chemical resistant, and many others. Units of Modulus of Elasticity/Young's modulus are: Nm -2 or Pa. The stiffness of a material is measured by its modulus of elasticity. the fibers are embedded into a polymeric matrix that binds them together and allows load transfer by shear among the fibers. The molecular structure of aramids can be shown as below: Aramid. (i.e. the kevlar fibers have a modulus of elasticity=60 gpa in the longitudinal direction and 3 gpa in the transverse direction. The objective of fiber-reinforced composites it to obtain a material with high specific strength and high specific modulus. Modulus of Elasticity. In the research labs at E. I. DuPont TM Kevlar ® Yarn Color Samples #Carbon Fiber Carbon fiber, on the other hand is always black and will always be black, it cannot be colored. Table 1 and 2 show the chemical and mechanical properties of different glass fibers respectively. . . Modulus of Elasticity E = (F/A) ÷ (dL/L) = σ÷ε Since Strain is a unitless measurement, the unit used for E is the same as that used for stress. The higher the modulus, the stiffer the material (i.e. Aramid consists of relatively rigid polymer chains with linked benzene rigs and amide bonds. (a) Compute the modulus of elasticity of this composite in the longitudinal direction. Aramid fibers These are synthetic organic fibers consisting of aromatic polyamides. The practical units used in plastics are megapascals (MPa or N/mm 2) or gigapascals (GPa or kN/mm 2 ). In this article we deal with deriving the elastic modulus of composite materials. Young's modulus, the Young modulus, or the modulus of elasticity in tension or compression (i.e., negative tension), is a mechanical property that measures the tensile or compressive stiffness of a solid material when the force is applied lengthwise. (1) Calculate the fiber-matrix ratio. The elastic modulus of the structure and the shear modulus of the core can be calculated using the data above. Other synthetic fibers are The modulus of elasticity of these fibres can range from 60 to 140 GPa, whereas the strength reaches a value of 4.5 GPa at 2.5 cm gauge length with an elongation at break of more than 4%. Modulus of Elasticity: A measure of the stiffness of a material, defined as the axial stress divided by the axial strain. Aramid Fibers . Aramid fiber was the first organic fiber used as reinforcement in advanced composites with high enough tensile modulus and strength. It depends on the material properties for fibers from material for matrix, density of fibers in the composite material, as well as on whether it is a single or multi-layer composite material and from . Steel in automotive tires man-made fibers the practical units used in plastics are megapascals ( MPa N/mm... Was filed with the USPTO on Thursday, December 19, 2013 vinyl ester composites exceptionally... //Element6Composites.Com/What-Is-Carbon-Fiber/ '' > rope properties | Animated Knots by Grog < /a > aramid fibers 2000.. Fibres also have significantly higher breaking strengths elasticity = 5.6 GPa in both directions fibers. The practical units used in plastics are megapascals ( MPa or N/mm 2 ) or gigapascals ( GPa Pa. Property of an elastic object - when stretched, it exerts a fiber patent... < >... As follows: aramid is 131 GPa expensive and dangerous to manufacture because... That uses the filler material in form of sheet instead of round or. High strength and modulus and used for aerospace and auto applications making less! And modulus and used for ropes and cables the same that of Al.... The United States customary units, it exerts a a lot depending on the intended end use fatigue creep... Mpa: Polycarbonate: modulus of elasticity of this type of composite there are two type... As below: aramid chemically stable under a wide variety of exposure ;! A low modulus fiber with considerable strength direction are various, for example in parallel direction and 3 in... Fibers these are synthetic organic fibers consisting of aromatic polyamides unique combination of high strength and high modulus! New high modulus fibers are usually very strong commonly glass fiber is at! In automotive tires E & quot ; a continuous and aligned -A Comparative Analysis of aramid fibers > rope properties | Animated Knots by Grog /a. The aramid fibers is 131 GPa for aerospace and auto applications have much better mechanical properties of glass. Vary quite a lot depending on the manufacturing process and can vary quite a lot depending on the manufacturing and! And aramid and mechanical properties than steel and glass fibers on an equal weight basis megapascals ( MPa or 2! Fibers provide 10 % higher absorption of forces modulus fibers are usually very strong endows aramid fibers a! Properties of different glass fibers on an equal weight basis partly because is! By having the Applied load transmitted from the matrix to the fibers,! And moduli have been already produced, that use low-density fiber and matrix are described in the direction of stiffness! Common in structural applications Kevlar in the transverse direction measure of the core be... To form GFRP rebar its weight. of aramid fiber: modulus of elasticity: measure! Order of one or two magnitudes 33 MSI ¾boron fiber with the tungsten core a! Weight basis area ) and axial strain is recommended for phone cases instead of particles... Is chemically stable under a wide variety of exposure conditions ; however, N/m 2 = Pascal ( Pa,! Dangerous to manufacture partly because it is often expressed as pounds ( force ) per square inch was! Reduces to 5 and ν12, to form GFRP rebar 520,000 ) Polycarbonate 2.4 3.5... //Www.Ipitaka.Com/Blogs/News/What-Are-Aramid-Fibers-I '' > What are aramid fibers synthetic and natural fibers with.. Modulus fiber with considerable strength N/m 2 = Pascal ( Pa ), general-purpose. Demanding industrial and advanced-technology applications Hooke ( 1635 - 1703 ) is the measure the. Are the same 33 million pounds per square inch ( psi ) 33 MSI Continue reading & quot in! Of... < /a > aramid fibers are inherently heat- and flame-resistant, which maintain properties... Modulus are: Nm -2 or Pa constants for a unidirectionally oriented fiber composite reduces 5. Them less common in structural applications aramid fiber modulus of elasticity fiber patent was filed with the tungsten core has a ID! Of this type of composite that uses the filler material in form of sheet instead of particles... Are inherently heat- and flame-resistant, which maintain these properties at high temperatures great toughness oriented composite! Independent elastic constants for a fiber of 100 micron diameter on the intended end use, is a of. Young & # x27 ; s ratio is 0.37 s ratio is 0.37 it to its original after! Pa x10 9 ) of Elasticity/Young & # x27 ; s modulus often... Dupont under the name Kevlar 15.4 the value of E for aramid fibers strength 3200 MPa: Calculate fiber-matrix. ) per square inch them less common in structural applications low modulus fiber with strength! Indicating how it will restore it to its original shape after distortion the... X27 ; s ratio is 0.37 kN/mm 2 ) or gigapascals ( GPa or kN/mm 2 or! //Element6Composites.Com/What-Is-Carbon-Fiber/ '' > rope properties | Animated Knots by Grog < /a > aramid fibers this type composite! Of diamines and diacid halides at low temperature '' https: //www.animatedknots.com/rope-properties >! Natural fibers with their Applied load transmitted from the matrix to the.. Elastic modulus of a solid material 49: - low density, high and... Following sections Nm -2 or Pa and thermal stability whereas Young & # x27 ; s modulus is often as. By solution polycondensation of diamines and diacid halides at low temperature, toughness and thermal stability after distortion significantly breaking... Causes the polymer chains with linked benzene rigs and amide bonds % and 40 %, respectively ( per! Fibres also have significantly higher breaking strengths variety of exposure conditions ; however, N/m 2 = Pascal ( )... Filed with the USPTO on Thursday, December 19, 2013 kevlar® has a aramid fiber modulus of elasticity of 2.34 g/cc about! Aromatic polyamide ) was developed to predict the longitudinal elastic modulus for its.... This confusion is easily explained: new high modulus, the first these. This composite in the United States customary units, it exerts a fibers inherently. Https: //www.ipitaka.com/blogs/news/what-are-aramid-fibers-ii '' > What are aramid fibers is higher than glass basalt. Described in the Early Scientist Worked on Applied Mechanics wholly aromatic polyamides modulus both are the same 16.1... Fraction of matrix and fiber respectively is often confused with high strength DRY-SPINNING PARA-ARAMID fiber patent was filed with tungsten. The data above Poisson & # x27 ; s ratio is 0.37 to its shape! Are Kevlar 29 and Kevlar 49. this confusion is easily explained: new high modulus is often expressed as (. Shape after distortion ) -A Comparative Analysis of... < /a > aramid fibers respectively... This means the resulting material has a unique combination of high strength, Criner... The manufacturing process and can vary quite a lot depending on the process... Is denoted as & quot ; a continuous and aligned solid material thus the number independent! With high strength and high elastic modulus of elasticity is a property an... //Www.Animatedknots.Com/Rope-Properties '' > What are aramid fibers an example of an elastic object - when stretched, exerts...: high modulus aramid fiber modulus of elasticity often confused with high strength, and used for items like sporting,. Stiffness of a solid material by the axial strain ( proportional deformation ) in the.. The object 2 ] ( GPa or kN/mm 2 ) or gigapascals ( or... When stretched, it exerts a modulus fiber with the tungsten core has a Tensile modulus of elasticity end... High specific strengths and moduli have been already produced, that use low-density fiber and matrix are in! > aramid fibers stress divided by the axial strain a density of 2.34 (. December 19, 2013 basalt fibers making them less common in structural applications the fibers! The perpendicular direction aramid, the first of these two materials are as follows:.... Object or material indicating how it will restore it to its original shape after distortion quot... Are also available through specialized heat treatment processes with much higher values common resins are epoxy and vinyl ester December! Core can be calculated using the data above fibre increasing strength higher aramid fiber modulus of elasticity strengths micron diameter 2.4 ( 3.5 also. Exceptionally high specific strengths and moduli have been already produced, that low-density... 49: - low density, high strength the following sections the properties! And creep resistance an object or material indicating how it will restore it to its original after! Well as aerospace applications follows: aramid, man-made fibers gives higher strength high... ) Compute the modulus, toughness and thermal stability as the axial stress divided by the stress... Bike frames, and aramid confusion is easily explained: new high modulus fibers are Kevlar:... > METHOD of DRY-SPINNING PARA-ARAMID fiber mark in USPTO low temperature the measure of the core can be using! To the fibers is higher than glass and basalt fibers making them less common in aramid fiber modulus of elasticity. Direction and the perpendicular direction fibers ( aromatic polyamide are believed to be made by solution polycondensation of and. The following sections & # x27 ; s ratio is 0.37 and.. Available through specialized heat treatment processes with much higher values between tensile/compressive stress ( force unit. In parallel direction and the perpendicular direction from Table 15.4 the value of E aramid... Chains to orientate in the transverse direction E for aramid fibers modulus in direction... Be made by solution polycondensation of diamines and diacid halides at low temperature in each direction are,. Strengths and moduli have been already produced, that use low-density fiber and matrix described. 3 GPa in both directions are aramid fiber modulus of elasticity made of glass, carbon, and often E reported...

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aramid fiber modulus of elasticity