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    The Quadratic Curve and the Trajectory in the Shear Zone in Metal Cutting

    Source: Journal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 003::page 1105
    Author:
    J. H. L. The
    DOI: 10.1115/1.3438662
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The quadratic curve was investigated as an approximation of the streamline in the steady-state shear zone during metal cutting. Experimentally, a very fine grid of parallel lines (spacing 25 μ, depth 6 μ) was inscribed on the work face through a simple method which eliminates the problems associated with the photographic and etching techniques. Quick stops were taken using an explosive device for cutting speeds of 50, 150, and 250 m/min. Next, several quadratic curves were fitted to the experimental streamline, which was measured at six points along its path. The two tangents at the start and end of the shear zone were also measured. Of the three types (ellipse, hyperbola, and parabola) studied, the hyperbola and, specifically, the rectangular hyperbola (x2 − y2 = c2 ) gave the best fit with experiment. Trajectory deviation in these cases is <1 percent and the strain-rate deviation is <6 percent. These are in the order of magnitude of the experimental errors.
    keyword(s): Metal cutting , Shear (Mechanics) , Trajectories (Physics) , Approximation , Cutting , Errors , Etching , Steady state AND Explosives ,
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      The Quadratic Curve and the Trajectory in the Shear Zone in Metal Cutting

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    http://yetl.yabesh.ir/yetl1/handle/yetl/87843
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    contributor authorJ. H. L. The
    date accessioned2017-05-08T22:59:18Z
    date available2017-05-08T22:59:18Z
    date copyrightAugust, 1975
    date issued1975
    identifier issn1087-1357
    identifier otherJMSEFK-27626#1105_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87843
    description abstractThe quadratic curve was investigated as an approximation of the streamline in the steady-state shear zone during metal cutting. Experimentally, a very fine grid of parallel lines (spacing 25 μ, depth 6 μ) was inscribed on the work face through a simple method which eliminates the problems associated with the photographic and etching techniques. Quick stops were taken using an explosive device for cutting speeds of 50, 150, and 250 m/min. Next, several quadratic curves were fitted to the experimental streamline, which was measured at six points along its path. The two tangents at the start and end of the shear zone were also measured. Of the three types (ellipse, hyperbola, and parabola) studied, the hyperbola and, specifically, the rectangular hyperbola (x2 − y2 = c2 ) gave the best fit with experiment. Trajectory deviation in these cases is <1 percent and the strain-rate deviation is <6 percent. These are in the order of magnitude of the experimental errors.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Quadratic Curve and the Trajectory in the Shear Zone in Metal Cutting
    typeJournal Paper
    journal volume97
    journal issue3
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3438662
    journal fristpage1105
    journal lastpage1111
    identifier eissn1528-8935
    keywordsMetal cutting
    keywordsShear (Mechanics)
    keywordsTrajectories (Physics)
    keywordsApproximation
    keywordsCutting
    keywordsErrors
    keywordsEtching
    keywordsSteady state AND Explosives
    treeJournal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 003
    contenttypeFulltext
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