Skip to main content
Engineering LibreTexts

11.5: Experiments of Hatamura and Chijiiwa (1977B)

  • Page ID
    29356
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    The experiments of Hatamura & Chijiiwa (1977B) were carried out with a blade length L4=0.2 m, a blade width 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 on the pseudo blade of λ=32°, a dry density of ρs=1.46 ton/m3 and a cutting velocity of vc=0.05 m/sec.

    Screen Shot 2020-08-24 at 6.29.57 PM.png
    Figure 11-11: The shear angle of Hatamura & Chijiiwa (1977B) versus the calculated shear angles, with and without wedge.
    Screen Shot 2020-08-24 at 6.30.44 PM.png
    Figure 11-12: The shear angle, wedge angle and mobilized external friction angle calculated with wedge.

    Although the number of experiments of Hatamura & Chijiiwa (1977B) is limited, both the shear angles and the total cutting forces tend to follow the wedge theory for blade angles of 75° and 90°. The direction of the total cutting force measured is more upwards directed (negative angle) than predicted with the wedge theory for the 90° blade. This could mean that the real mechanism is different from the wedge mechanism. The cutting forces however match well.

    Screen Shot 2020-08-24 at 6.31.45 PM.png
    Figure 11-13: The total force of Hatamura & Chijiiwa (1977B) versus the calculated total force, with and without wedge.
    Screen Shot 2020-08-24 at 6.34.26 PM.png
    Figure 11-14: The direction of the cutting force of Hatamura & Chijiiwa (1977B) versus the calculated force direction, with and without wedge.

    This page titled 11.5: Experiments of Hatamura and Chijiiwa (1977B) is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Sape A. Miedema (TU Delft Open Textbooks) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.