Engineering Science 1021A/B Lecture 13: Imperfections: Schmid's Law

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Schmid's Law
The slip direction is at an angle (λ) to the applied force
Resolve the applied force into components parallel and perpendicular to the slip
direction
The slip plane is at an angle (
𝜙
) to the applied force
If the resolved shear stress (
"
#
$
) is greater than the critical resolved shear stress,
then the dislocation will move
Resolve Force:
𝐹
&= 𝐹 cos λ
Resolve Area:
𝐴&=$
-./ 0
Shear Stress:
𝜏&="
#
$#="
$cos λcos 𝜙 = 𝜎 cos λcos 𝜙
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