Answer
The most favored slip direction is at an angle of 30° with the tensile axis.
Work Step by Step
Given:
single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of 65° with the tensile axis. Three possible slip directions make angles of 30°, 48°, and 78° with the same tensile axis
Required:
most favored slip direction
Solution:
Slip will occur along that direction for which (cos φ cos λ) is a maximum, and, in this case, for the largest cos λ. Cosines for the possible λ values are:
cos(30°) = 0.87
cos(48°) = 0.67
cos(78°) = 0.21
The most favored slip direction is at an angle of 30° with the tensile axis.
