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

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

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<strong>The</strong> <strong>Delft</strong> <strong>Sand</strong>, <strong>Clay</strong> & <strong>Rock</strong> <strong>Cutting</strong> <strong>Model</strong>.<br />

8.3.3. <strong>The</strong> <strong>Model</strong> of Evans used for a Pick point. ....................................................................................266<br />

8.3.4. Summary of the Evans <strong>The</strong>ory. ......................................................................................................267<br />

8.3.5. <strong>The</strong> Nishimatsu <strong>Model</strong>. ..................................................................................................................269<br />

8.4. <strong>The</strong> Flow Type (Based on the Merchant <strong>Model</strong>). .................................................................. 273<br />

8.5. Determining the Angle β. ...................................................................................................... 276<br />

8.6. <strong>The</strong> Shear Type, Tear Type and the Chip Type. .................................................................... 279<br />

8.7. Correction on the Tear Type and the Chip Type. .................................................................. 287<br />

8.8. Specific Energy. .................................................................................................................... 289<br />

8.9. Resulting Forces & Mohr Circles. ......................................................................................... 291<br />

8.10. Example. ................................................................................................................................ 294<br />

8.10.1. Step 1: Brittle Shear. ..................................................................................................................294<br />

8.10.2. Step 2: <strong>The</strong> Transition Brittle Shear/Brittle Tensile. ..................................................................294<br />

8.10.3. Step 3: Applying Tensile Strengths of -5 MPa, -10 MPa and -25 MPa. ....................................295<br />

8.11. Nomenclature. ....................................................................................................................... 295<br />

Chapter 9: <strong>Rock</strong> <strong>Cutting</strong>: Hyperbaric Conditions. ..................................................................................297<br />

9.1. Introduction. .......................................................................................................................... 297<br />

9.2. <strong>The</strong> Flow Type and the Crushed Type. ................................................................................. 299<br />

9.3. <strong>The</strong> Tear Type and the Chip Type. ........................................................................................ 305<br />

9.4. <strong>The</strong> Curling Type. ................................................................................................................. 305<br />

9.5. Experiments of Zijsling (1987).............................................................................................. 312<br />

9.6. Specific Energy. .................................................................................................................... 317<br />

9.7. Example. ................................................................................................................................ 318<br />

9.8. Specific Energy Graphs. ........................................................................................................ 319<br />

9.9. Nomenclature. ....................................................................................................................... 322<br />

Chapter 10: <strong>The</strong> Occurrence of a Wedge. ...................................................................................................325<br />

10.1. Introduction. .......................................................................................................................... 325<br />

10.2. <strong>The</strong> Force Equilibrium. ......................................................................................................... 326<br />

10.3. <strong>The</strong> Equilibrium of Moments. ............................................................................................... 331<br />

10.4. Nomenclature. ....................................................................................................................... 332<br />

Chapter 11: A Wedge in Dry <strong>Sand</strong> <strong>Cutting</strong>. ...............................................................................................333<br />

11.1. Introduction. .......................................................................................................................... 333<br />

11.2. <strong>The</strong> Force Equilibrium. ......................................................................................................... 334<br />

11.3. <strong>The</strong> Equilibrium of Moments. ............................................................................................... 337<br />

11.4. Results of some Calculations. ................................................................................................ 339<br />

11.5. Experiments of Hatamura & Chijiiwa (1977B)..................................................................... 341<br />

11.6. Nomenclature. ....................................................................................................................... 343<br />

Chapter 12: A Wedge in Saturated <strong>Sand</strong> <strong>Cutting</strong>. .....................................................................................345<br />

12.1. Introduction. .......................................................................................................................... 345<br />

12.2. <strong>The</strong> Equilibrium of Forces. .................................................................................................... 347<br />

12.3. Pore Pressures. ....................................................................................................................... 349<br />

12.4. <strong>The</strong> Equilibrium of Moments. ............................................................................................... 357<br />

12.5. <strong>The</strong> Non-Cavitating Wedge. .................................................................................................. 360<br />

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