Moisture Expansion Coefficients of Glass/Epoxy Lamina Analysis
Explore the micromechanical analysis of moisture expansion coefficients for a Glass/Epoxy lamina with 70% fiber volume fraction. Calculate the coefficients using the properties of glass and epoxy materials. Gain insights into the calculation process and understand the significance of moisture expansion in composite materials.
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Chapter 3 Micromechanical Analysis of a Lamina Coefficients of Moisture Expansion Dr. Autar Kaw Department of Mechanical Engineering University of South Florida, Tampa, FL 33620 Courtesy of the Textbook Mechanics of Composite Materials by Kaw
f V f E f + m V m E C C m f m 1 = c ( ) f V f C f + V + m V ) C C + 1 ( E 1 + 1 ( f m m ) V ( V C C f f m m C m f m 2 = c - 1 12 ) m V + m f f m f Source: https://docs.software.vt.edu/abaqusv2022/English/SIMACAEMATRefMap/simamat-c-damagefibercomposite.htm
If fiber does not absorb moisture E m + 1 ( ) c 2 = m - 1 c 1 = m 12 m E m 1 m If fiber does not absorb moisture AND we have a high ??/??ratio (just shown for illustration) and 0, 1= = + 1 ( ) c m 2 m m
V f + f V m 0 = m and , = 1 = 0 = c + f F A A A m 1 f m ( ) E = m - m ( and ) , E = f - f C C m m f m f f E f + f V m E m C V C m f f m = f V f E + V m E f m
E f + f V m E m C V C m f f m = f V f E + V m E f m C = 1 C C w c = c w + f C w c f m m 1 ) V f E f + f V m E m C C C ( C = c W + f C W m f m = 1 f m m V f E + f V m C E m c V f E f + f V m E E m C C m f m = 1 ( ( ) m + ) V f ( E + f V C V m E W C + f V W m C C E f m f m f f m m V f m 1 = c ) V f + C C E 1 f m m f m
Find the two coefficients of moisture expansion for a Glass/Epoxy lamina with 70% fiber volume fraction. Use properties for glass and epoxy from Tables 3.1 and 3.2, respectively. Assume glass does not absorb moisture. f = 2500 kg/m3 m c = 1200 kg/m3 = 2110 kg/m3 m E1 = 0.33 m/m/kg/kg = 60.52 GPa 12 Em = 0.230 = 3.4 GPa m = 0.3
E m c 1 = m E 3.4 1 m 10 9 2110 0.33 ( ) = 1 9 60.52 1200 10 1 - 0.3260 = m/m/kg/kg 10 + 1 ( ) c 2 = m - 1 m 12 m 2110 1 - + 1 ( ) 0.33 ( - ) 0.3260 ( 0.230 ( ) ) = 2 0.3 10 1200 0.7468 = m/m/kg/kg
