Nomenclature d = diam, in. E = Young's modulus, psi G = shear modulus, psi L = fiber length, in. L' = ineffectual length (function of composite strain), in. L c = critical fiber length, in. S = fracture stress, psi V -volume fraction /3 = effective fiber strength factor for fibers in a matrix (Sf*)/(S f ) fi' = effective fiber strength factor for fibers in a bundle 7 = empirical factor accounting for matrix work-hardening a, (T rn f = tensile stress, psi 07oo -tensile stress of infinitely long fiber T -shear stress, psi { } = average quantity Subscripts f = fiber or whisker c = composite ra = matrix Superscript * = a property in the matrix