Micromechanical Analysis of a Lamina 205 volume of composite,fiber,and matrix,respectively Pm=density of composite,fiber,and matrix,respectively. Now define the fiber volume fraction V and the matrix volume fraction V as and Vin =Va Ve (3.1a,b) Note that the sum of volume fractions is V,+Vm=1, from Equation (3.1)as Uf+Um=Vc. 3.2.2 Mass Fractions Consider a composite consisting of fiber and matrix and take the following symbol notation:m=mass of composite,fiber,and matrix,respectively. The mass fraction (weight fraction)of the fibers (W)and the matrix(W) are defined as w,and W,= 0哑 W= (3.2a,b) Note that the sum of mass fractions is Wr+Wm =1, 2006 by Taylor Francis Group,LLCMicromechanical Analysis of a Lamina 205 vc,f,m = volume of composite, fiber, and matrix, respectively ρc,f,m = density of composite, fiber, and matrix, respectively. Now define the fiber volume fraction Vf and the matrix volume fraction Vm as and (3.1a, b) Note that the sum of volume fractions is , from Equation (3.1) as 3.2.2 Mass Fractions Consider a composite consisting of fiber and matrix and take the following symbol notation: wc,f,m = mass of composite, fiber, and matrix, respectively. The mass fraction (weight fraction) of the fibers (Wf ) and the matrix (Wm) are defined as (3.2a, b) Note that the sum of mass fractions is , V v v f f c = , V v v m m c = . V V f m + = 1 v v f m + = vc . W w w f f c = , and W w w m m c = . W W f m + = 1 1343_book.fm Page 205 Tuesday, September 27, 2005 11:53 AM © 2006 by Taylor & Francis Group, LLC