Question

1. A single crystal sample of a metal with a HCP structure is subjected to an axial tensile force. The sample is of circular cross-section, with a diameter of 4 mm, and is of 50 mm length. An elastic extension of 0.047 mm is measured when an axial tensile force of 1.25 kN is applied. When the tensile force is increased to 2.8 kN plastic deformation commences.

(a) Given that Poisson’s ratio for the metal is 0.35, estimate the theoretical shear strength of the material.

(b) Given that the [0001] slip direction and the (0001) slip plane are both aligned at 35o to the tensile force axis, calculate the critical shear stress for the metal.

(c) Why do the values from (a) and (b) differ by so much ?

Answer 1

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