A numerical study on the thermal expansion coefficients of fiber
A numerical study on the thermal expansion coefficients of fiber A numerical study on the thermal expansion coefficients of fiber
17 2.4.a shows micrograph of the cross-section of carbon fiber which can be compared with Figure 2.4.b which shows this fiber coated with nickel. The conditions of carbonization have impact on properties of carbon fibers and their price. The least expensive carbon fibers manufactured from PAN are produced by rapid heating under tension from the initial orientation temperature of 300ºC to 1000ºC. This process produces low modulus fibers. High strength fibers are heated to 1500ºC and the high modulus fibers to 2200ºC under argon. These various conditions result in graphite crystals with different structures which affects the mechanical performance of fibers. Rayon is used less often because of the environmental impact of the precursor material. In the coal-tar or petroleum pitch processes, the initial material is polymerized by heat which helps to remove low molecular weight volatile components. The resultant nematic liquid crystal, or mesophase, is oriented during the spinning operation to form fibers (Wypych, 2000). a Figure 2.4 Micrograph of carbon fibers (a) and nickel coated carbon fibers (b) (Wypych, 2000). b The properties of carbon fibers such as high tensile strength and modulus, good fatigue resistance and wear lubricity, low density (lower than metal), low linear thermal expansion coefficient, good dimensional stability, heat resistance, electrical conductivity, ability to shield electromagnetic waves, x-ray penetrability, good chemical stability and excellent resistance to acids, alkalis, and many solvents are developed their applications. These properties show that carbon fibers have a high potential use in high performance materials. Total world production of carbon fibers is estimated 9,590 tons; North America consumes 40% of total production, Europe and Japan 21% each and the remaining countries 18% (Wypych, 2000). The largest
18 use is in aircraft industry followed by sport and leisure equipment and industrial equipment. 2.2.2.3 Ceramic Fibers Although production of ceramic fibers began in the 1940s, their commercial exploitation did not occur until the early 1970s. Worldwide production of ceramic fibers in the early-to-mid 1980s was estimated at 70 to 80 million kg, with U.S. production comprising approximately half that amount. With the introduction of new ceramic fibers for new uses, production has increased significantly over the past decades (IARC, 1988). Ceramic fibers comprise a wide range of amorphous or crystalline, synthetic mineral fibers characterized by their refractory properties (i.e., stability at high temperatures). They are typically made of alumina, silica, and other metal oxides or, less commonly, of nonoxide materials such as silicon carbide. Most ceramic fibers are composed of alumina and silica in an approximate 50/50 mixture. Monoxide ceramics, such as alumina and zirconia, are composed of at least 80% of one oxide, by definition; generally they contain 90% or more of the base oxide and specialty products may contain virtually 100%. Nonoxide specialty ceramic fibers, such as silicon carbide, silicon nitride, and boron nitride, have also been produced. Since there are several types of ceramic fibers, there is also a range of chemical and physical properties. Most fibers are white to cream in color and tend to be polycrystallines or polycrystalline metal oxides (Figure 2.5). Continuous ceramic fibers present an attractive package of properties. They combine rather high strength and elastic modulus with high-temperature capability and a general freedom from environmental attack. These characteristics make them attractive as reinforcements in high-temperature structural materials. There are three ceramic fiber fabrication methods: chemical vapor deposition, polymer pyrolysis, and sol-gel techniques.
- Page 1 and 2: DOKUZ EYLÜL UNIVERSITY GRADUATE SC
- Page 3 and 4: M.Sc THESIS EXAMINATION RESULT FORM
- Page 5 and 6: A NUMERICAL STUDY ON THE THERMAL EX
- Page 7 and 8: CONTENTS Page THESIS EXAMINATION RE
- Page 9 and 10: 4.2.1 Geometry Creation............
- Page 11 and 12: 2 coefficients of thermal expansion
- Page 13 and 14: 4 coefficients coincide to give res
- Page 15 and 16: 6 concentration from pure metal to
- Page 17 and 18: 8 high strength-to-weight and stiff
- Page 19 and 20: 10 polymers. Thermosetting polymers
- Page 21 and 22: 12 Metals are strong and tough. The
- Page 23 and 24: 14 Table 2.1 Properties of reinforc
- Page 25: 16 2.2.2.2 Carbon Fibers Carbon is
- Page 29 and 30: 20 strength and a reasonable Young
- Page 31 and 32: 22 1. Processing the conventional f
- Page 33 and 34: 24 (orthorhombic) of polyethylene h
- Page 35 and 36: 26 Whiskers are monocrystalline sho
- Page 37 and 38: 28 3.2 Factors Affecting the Coeffi
- Page 39 and 40: 30 3.2.4 Thermal Cycling The primar
- Page 41 and 42: 32 3.3.1 Mechanical Dilatometry Thi
- Page 43 and 44: 34 absolute accuracy of about ± 0.
- Page 45 and 46: 36 3.3.3 Strain Gauges This relativ
- Page 47 and 48: 38 • The composite is macroscopic
- Page 49 and 50: 40 3.4.1.3 Equation of Van Fo Fy In
- Page 51 and 52: 42 and the thermal expansion coeffi
- Page 53 and 54: 44 P P 11 33 2 A 22 − A = Det A A
- Page 55 and 56: 46 • A perfect bonding exists at
- Page 57 and 58: CHAPTER FOUR FINITE ELEMENT METHOD
- Page 59 and 60: 50 No matter how the geometry is cr
- Page 61 and 62: 52 displacements and/or rotations a
- Page 63 and 64: CHAPTER FIVE MICROMECHANICAL ANALYS
- Page 65 and 66: 56 5.2 Mesh Creation 10-node tetrah
- Page 67 and 68: 58 carbon fibers were assumed to ha
- Page 69 and 70: 60 Figure 5.6 The displacement fiel
- Page 71 and 72: 62 small differences between these
- Page 73 and 74: 64 Table 6.1 Comparison of the expe
- Page 75 and 76: 66 Longitudinal CTE (1/°C) 2.25E-0
17<br />
2.4.a shows micrograph <strong>of</strong> <strong>the</strong> cross-secti<strong>on</strong> <strong>of</strong> carb<strong>on</strong> <strong>fiber</strong> which can be compared<br />
with Figure 2.4.b which shows this <strong>fiber</strong> coated with nickel. The c<strong>on</strong>diti<strong>on</strong>s <strong>of</strong><br />
carb<strong>on</strong>izati<strong>on</strong> have impact <strong>on</strong> properties <strong>of</strong> carb<strong>on</strong> <strong>fiber</strong>s and <strong>the</strong>ir price. The least<br />
expensive carb<strong>on</strong> <strong>fiber</strong>s manufactured from PAN are produced by rapid heating<br />
under tensi<strong>on</strong> from <strong>the</strong> initial orientati<strong>on</strong> temperature <strong>of</strong> 300ºC to 1000ºC. This<br />
process produces low modulus <strong>fiber</strong>s. High strength <strong>fiber</strong>s are heated to 1500ºC and<br />
<strong>the</strong> high modulus <strong>fiber</strong>s to 2200ºC under arg<strong>on</strong>. These various c<strong>on</strong>diti<strong>on</strong>s result in<br />
graphite crystals with different structures which affects <strong>the</strong> mechanical performance<br />
<strong>of</strong> <strong>fiber</strong>s. Ray<strong>on</strong> is used less <strong>of</strong>ten because <strong>of</strong> <strong>the</strong> envir<strong>on</strong>mental impact <strong>of</strong> <strong>the</strong><br />
precursor material. In <strong>the</strong> coal-tar or petroleum pitch processes, <strong>the</strong> initial material is<br />
polymerized by heat which helps to remove low molecular weight volatile<br />
comp<strong>on</strong>ents. The resultant nematic liquid crystal, or mesophase, is oriented during<br />
<strong>the</strong> spinning operati<strong>on</strong> to form <strong>fiber</strong>s (Wypych, 2000).<br />
a<br />
Figure 2.4 Micrograph <strong>of</strong> carb<strong>on</strong> <strong>fiber</strong>s (a) and nickel coated carb<strong>on</strong> <strong>fiber</strong>s (b) (Wypych, 2000).<br />
b<br />
The properties <strong>of</strong> carb<strong>on</strong> <strong>fiber</strong>s such as high tensile strength and modulus, good<br />
fatigue resistance and wear lubricity, low density (lower than metal), low linear<br />
<strong>the</strong>rmal expansi<strong>on</strong> coefficient, good dimensi<strong>on</strong>al stability, heat resistance, electrical<br />
c<strong>on</strong>ductivity, ability to shield electromagnetic waves, x-ray penetrability, good<br />
chemical stability and excellent resistance to acids, alkalis, and many solvents are<br />
developed <strong>the</strong>ir applicati<strong>on</strong>s. These properties show that carb<strong>on</strong> <strong>fiber</strong>s have a high<br />
potential use in high performance materials. Total world producti<strong>on</strong> <strong>of</strong> carb<strong>on</strong> <strong>fiber</strong>s<br />
is estimated 9,590 t<strong>on</strong>s; North America c<strong>on</strong>sumes 40% <strong>of</strong> total producti<strong>on</strong>, Europe<br />
and Japan 21% each and <strong>the</strong> remaining countries 18% (Wypych, 2000). The largest