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The Delft Sand, Clay & Rock Cutting Model, 2019a

The Delft Sand, Clay & Rock Cutting Model, 2019a

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A Wedge in Dry <strong>Sand</strong> <strong>Cutting</strong>.<br />

11.5. Experiments of Hatamura & Chijiiwa (1977B).<br />

<strong>The</strong> experiments of Hatamura & Chijiiwa (1977B) were carried out with a blade length L4=0.2 m, a blade width<br />

w=0.33 m, an angle of internal friction φ=38°, an angle of internal friction δ=2/3·φ, an angle of internal friction<br />

on the pseudo blade of λ=32°, a dry density of ρs=1.46 ton/m 3 and a cutting velocity of vc=0.05 m/sec.<br />

60<br />

Shear Angle β vs. Blade Angle α<br />

55<br />

No Wedge hi=0.05 m<br />

50<br />

No Wedge hi=0.10 m<br />

Shear Angle β (Degrees)<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

No Wedge hi=0.15 m<br />

Experiments hi=0.05 m<br />

Experiments hi=0.10 m<br />

Experiments hi=0.15 m<br />

Wedge hi=0.05 m<br />

10<br />

Wedge hi=0.10 m<br />

5<br />

Wedge hi=0.15 m<br />

© S.A.M.<br />

0<br />

30 45 60 75 90 105 120 135 150<br />

Blade Angle α (Degrees)<br />

Figure 11-11: <strong>The</strong> shear angle of Hatamura & Chijiiwa (1977B) versus the calculated shear angles, with<br />

and without wedge.<br />

Shear Angle β, Wedge Angle θ & External Friction Angle δ e<br />

(Degrees)<br />

© S.A.M.<br />

60<br />

55<br />

50<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

-5<br />

-10<br />

-15<br />

-20<br />

-25<br />

Shear Angle β, Wedge Angle θ & External Friction Angle δ m vs.<br />

Blade Angle α<br />

-30<br />

60 75 90 105 120 135 150<br />

Blade Angle α (Degrees)<br />

Beta hi=0.05 m<br />

Beta hi=0.10 m<br />

Beta hi=0.15 m<br />

Teta hi=0.05 m<br />

Teta hi=0.10 m<br />

Teta hi=0.15 m<br />

Delta hi=0.05 m<br />

Delta hi=0.10 m<br />

Delta hi=0.15 m<br />

Figure 11-12: <strong>The</strong> shear angle, wedge angle and mobilized external friction angle calculated with wedge.<br />

Copyright © Dr.ir. S.A. Miedema TOC Page 341 of 454

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