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Chapter 3 Micromechanical Analysis of a Lamina - USF

Chapter 3 Micromechanical Analysis of a Lamina Elastic Moduli Dr. Autar Kaw Department of Mechanical Engineering University of South Florida, Tampa, FL 33620. Courtesy of the Textbook Mechanics of Composite Materials by Kaw A f = t f h, Am = t m h, and Ac = t c h A m Af V m=. Vf= Ac Ac tm tf =. = tc tc = 1-V f 3 2. 1. h tc Lc h tm/2. tm/2. tf FIGURE tc Representative volume element of a unidirectional Lamina . h c c tm/2. tf tm/2. tc FIGURE A longitudinal stress applied to the representative volume element to calculate the longitudinal Young's modulus for a unidirectional Lamina .

volume fraction and comparison with experimental values for a unidirectional glass/epoxy lamina (Gf = 30.19 GPa, Gm = 1.83 GPa). Figure (b) zooms figure (a) for fiber volume fraction between 0.45 and 0.75. (Experimental data from Hashin, Z., NASA tech. rep. contract no. NAS1-8818, November 1970.)

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