In a tension test of an anisotropic sheet, the ratio of the width strain to the thickness strain, εw/εt, is R.
A. Express the ratio, ε2/ε1, of the strains in the plane of the sheet in terms of R. Take the 1-direction as the rolling direction, the 2-direction as the width direction in the tension test, and the 3-direction as the thickness direction.
B. There is a direction, x, in the plane of the sheet along which εx = 0. Find the angle, θ, between x and the tensile axis.
C. How accurately would this angle have to be measured to distinguish between two materials having R values of 1.6 and 1.4?
