In an ideal orthogonal cutting experiment (see figure), the cutting speed Vis 1 m/s, the rake angle of the tool α = 5°, and the shear angle, o, is known to be 45°. Applying the ideal orthogonal cutting model, consider two shear planes PQ and RS close to each other. As they approach the thin shear zone (shown as a thick line in the figure), plane RS gets sheared with respect to PQ (point R1 shears to R2, and S1 shears to S2). Assuming that the perpendicular distance between PQ and RS is 8 = 25 µm, what is the value of shear strain rate (in s-¹) that the material undergoes at the shear zone? P1 S1 S2 PS S1/ ία Stationary Tool R2 QR R1 Work material is moving with speed V

Structural Analysis
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How to find shear strain rate

In an ideal orthogonal cutting experiment (see figure), the cutting speed Vis 1 m/s, the
rake angle of the tool α = 5°, and the shear angle, o, is known to be 45°.
Applying the ideal orthogonal cutting model, consider two shear planes PQ and RS
close to each other. As they approach the thin shear zone (shown as a thick line in
the figure), plane RS gets sheared with respect to PQ (point R1 shears to R2, and
S1 shears to S2).
Assuming that the perpendicular distance between PQ and RS is 8 = 25 µm, what is
the value of shear strain rate (in s-¹) that the material undergoes at the shear zone?
P1
S1
S2
PS
S1/
ία
Stationary
Tool
R2
QR R1
Work material is moving with speed V
Transcribed Image Text:In an ideal orthogonal cutting experiment (see figure), the cutting speed Vis 1 m/s, the rake angle of the tool α = 5°, and the shear angle, o, is known to be 45°. Applying the ideal orthogonal cutting model, consider two shear planes PQ and RS close to each other. As they approach the thin shear zone (shown as a thick line in the figure), plane RS gets sheared with respect to PQ (point R1 shears to R2, and S1 shears to S2). Assuming that the perpendicular distance between PQ and RS is 8 = 25 µm, what is the value of shear strain rate (in s-¹) that the material undergoes at the shear zone? P1 S1 S2 PS S1/ ία Stationary Tool R2 QR R1 Work material is moving with speed V
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