Young's modulus surface and Poisson's ratio curve for cubic metals

Abstract

The general expressions for the compliance s ijkl ′ , Young's modulus E( h k l) and Poisson's ratio υ( h k l, θ) along arbitrary loading direction [ h k l] are given for cubic crystals. The representation surface for which the length of the radius vector in the [ h k l] direction equals to E( h k l) and representation curve for which the length of the radius vector with angle θ deviated from the reference directions [ 0 0 1 ¯ ] , [ 0 0 1 ¯ ] and [ 1 1 2 ¯ ] equals to υ(100, θ), υ(110, θ) and υ(111, θ) for example, are constructed for six FCC metals Ag, Al, Au, Cu, Ni, Pb and seven BCC metals Cr, Fe, Mo, Nb, Ta, V, W.