Question

Sometimes cos phi cos in equation 7.2 is termed the schmid factor. determine the magnitude of the schmid factor for an fcc single crystal oriented with its [100] direction parallel to the loading axis.

Answer 1

The magnitude of the Schmid factor for an FCC single crystal oriented with its [100] direction parallel to the loading axis can be determined using the Schmid law.

Step-by-step explanation:

The magnitude of the Schmid factor, or cos phi cos, for an FCC single crystal oriented with its [100] direction parallel to the loading axis can be determined.

For an FCC crystal, the Schmid factor is calculated using the Schmid law which states that the Schmid factor is equal to the dot product of the slip direction (parallel to the loading axis) and the normal to the slip plane (perpendicular to the loading axis).

In this case, the slip direction is [100] and the normal to the slip plane is [111] since these are the respective miller indices of the planes. Therefore, the magnitude of the Schmid factor will be |cos(φ)cos(θ)| where φ is the angle between the slip direction and the loading axis and θ is the angle between the normal to the slip plane and the loading axis.