Micromechanical Analysis of a Lamina 209 TABLE 3.3 Typical Properties of Fibers(USCS System of Units) Property Units Graphite Glass Aramid Axial modulus Msi 33.35 12.33 17.98 Transverse modulus Msi 3.19 12.33 1.16 Axial Poisson's ratio 0.30 0.20 0.36 Transverse Poisson's ratio 0.35 0.20 0.37 Axial shear modulus Msi 3.19 5.136 0.435 Axial coefficient of thermal expansion uin./in./F -0.7222 2.778 -2.778 Transverse coefficient of thermal expansion μuin./in./oF 3.889 2.778 2.278 Axial tensile strength ksi 299.7 224.8 200.0 Axial compressive strength ksi 289.8 224.8 40.02 Transverse tensile strength ksi 11.16 224.8 1.015 Transverse compressive strength ksi 6.09 224.8 1.015 Shear strength ksi 5.22 5.08 3.045 Specific gravity 1.8 2.5 1.4 TABLE 3.4 Typical Properties of Matrices(USCS System of Units) Property Units Epoxy Aluminum Polyamide Axial modulus Msi 0.493 10.30 0.5075 Transverse modulus Msi 0.493 10.30 0.5075 Axial Poisson's ratio 0.30 0.30 0.35 Transverse Poisson's ratio 0.30 0.30 0.35 Axial shear modulus Msi 0.1897 3.915 0.1885 Coefficient of thermal expansion uin./in./o℉ 35 12.78 50 Coefficient of moisture expansion in./in./Ib/Ib 0.33 0.00 0.33 Axial tensile strength ksi 10.44 40.02 7.83 Axial compressive strength ksi 14.79 40.02 15.66 Transverse tensile strength ksi 10.44 40.02 7.83 Transverse compressive strength ksi 14.79 40.02 15.66 Shear strength ksi 4.93 20.01 7.83 Specific gravity 1.2 2.7 1.2 From Table 3.2,the density of the matrix is Pm=1200kg/m3. Using Equation(3.8),the density of the composite is P.=(2500)(0.7)+(1200)0.3) =2110kg/m. 2.Using Equation(3.4),the fiber and matrix mass fractions are 2006 by Taylor Francis Group,LLCMicromechanical Analysis of a Lamina 209 From Table 3.2, the density of the matrix is Using Equation (3.8), the density of the composite is 2. Using Equation (3.4), the fiber and matrix mass fractions are TABLE 3.3 Typical Properties of Fibers (USCS System of Units) Property Units Graphite Glass Aramid Axial modulus Transverse modulus Axial Poisson’s ratio Transverse Poisson’s ratio Axial shear modulus Axial coefficient of thermal expansion Transverse coefficient of thermal expansion Axial tensile strength Axial compressive strength Transverse tensile strength Transverse compressive strength Shear strength Specific gravity Msi Msi — — Msi μin./in./°F μin./in./°F ksi ksi ksi ksi ksi — 33.35 3.19 0.30 0.35 3.19 –0.7222 3.889 299.7 289.8 11.16 6.09 5.22 1.8 12.33 12.33 0.20 0.20 5.136 2.778 2.778 224.8 224.8 224.8 224.8 5.08 2.5 17.98 1.16 0.36 0.37 0.435 –2.778 2.278 200.0 40.02 1.015 1.015 3.045 1.4 TABLE 3.4 Typical Properties of Matrices (USCS System of Units) Property Units Epoxy Aluminum Polyamide Axial modulus Transverse modulus Axial Poisson’s ratio Transverse Poisson’s ratio Axial shear modulus Coefficient of thermal expansion Coefficient of moisture expansion Axial tensile strength Axial compressive strength Transverse tensile strength Transverse compressive strength Shear strength Specific gravity Msi Msi — — Msi μin./in./°F in./in./lb/lb ksi ksi ksi ksi ksi — 0.493 0.493 0.30 0.30 0.1897 35 0.33 10.44 14.79 10.44 14.79 4.93 1.2 10.30 10.30 0.30 0.30 3.915 12.78 0.00 40.02 40.02 40.02 40.02 20.01 2.7 0.5075 0.5075 0.35 0.35 0.1885 50 0.33 7.83 15.66 7.83 15.66 7.83 1.2 ρm = 1200 kg m3 / . ρc kg m = + = ( )( . ) ( )( . ) / . 2500 0 7 1200 0 3 2110 3 1343_book.fm Page 209 Tuesday, September 27, 2005 11:53 AM © 2006 by Taylor & Francis Group, LLC