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    A Model to Estimate Forces on Conical Penetrators Into Dry Porous Rock

    Source: Journal of Applied Mechanics:;1981:;volume( 048 ):;issue: 001::page 25
    Author:
    M. J. Forrestal
    ,
    D. B. Longcope
    ,
    F. R. Norwood
    DOI: 10.1115/1.3157587
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A model to predict the forces on conical-nosed penetrators for normal impact into dry rock targets is developed. The target medium is described by a linear hydrostat, a linear shear failure-pressure relation, and the material density. A cylindrical cavity expansion approximation to the target response permits one-dimensional wave propagation calculations in the radial coordinate. The equations of motion are reduced, via a similarity transformation, to a nonlinear ordinary differential equation. This equation is solved numerically by a shooting technique which employs an asymptotic expansion to the solution near the wave front. Results include stress wave profiles in the target and curves for the stress on the penetrator nose as a function of its velocity for a wide range of realistic target parameters. Finally, results from the theory are compared with the deceleration history of a penetrator in a field test and reasonable correlation is observed.
    keyword(s): Force , Rocks , Stress , Waves , Shear (Mechanics) , Equations of motion , Differential equations , Approximation , Cavities , Equations , Failure , Density , Pressure AND Wave propagation ,
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      A Model to Estimate Forces on Conical Penetrators Into Dry Porous Rock

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/94205
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    • Journal of Applied Mechanics

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    contributor authorM. J. Forrestal
    contributor authorD. B. Longcope
    contributor authorF. R. Norwood
    date accessioned2017-05-08T23:10:28Z
    date available2017-05-08T23:10:28Z
    date copyrightMarch, 1981
    date issued1981
    identifier issn0021-8936
    identifier otherJAMCAV-26170#25_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/94205
    description abstractA model to predict the forces on conical-nosed penetrators for normal impact into dry rock targets is developed. The target medium is described by a linear hydrostat, a linear shear failure-pressure relation, and the material density. A cylindrical cavity expansion approximation to the target response permits one-dimensional wave propagation calculations in the radial coordinate. The equations of motion are reduced, via a similarity transformation, to a nonlinear ordinary differential equation. This equation is solved numerically by a shooting technique which employs an asymptotic expansion to the solution near the wave front. Results include stress wave profiles in the target and curves for the stress on the penetrator nose as a function of its velocity for a wide range of realistic target parameters. Finally, results from the theory are compared with the deceleration history of a penetrator in a field test and reasonable correlation is observed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Model to Estimate Forces on Conical Penetrators Into Dry Porous Rock
    typeJournal Paper
    journal volume48
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3157587
    journal fristpage25
    journal lastpage29
    identifier eissn1528-9036
    keywordsForce
    keywordsRocks
    keywordsStress
    keywordsWaves
    keywordsShear (Mechanics)
    keywordsEquations of motion
    keywordsDifferential equations
    keywordsApproximation
    keywordsCavities
    keywordsEquations
    keywordsFailure
    keywordsDensity
    keywordsPressure AND Wave propagation
    treeJournal of Applied Mechanics:;1981:;volume( 048 ):;issue: 001
    contenttypeFulltext
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